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Decimal Place Value Worksheets

This assembly of printable worksheets has been meticulously drafted to assist students of Grade 5 and above comprehend the use of place values where decimals are involved. Exercises here include a wide range of decimal place values up to millionths with a number of simple word problems thrown into the mix for variety! Select MCQ worksheet pdfs have also been included to test your child's understanding of decimal place values. Free worksheets are included.

Underline the Digit: Up to Thousandths

Underline the Digit: Up to Thousandths

Get young learners to identify the correct place values up to thousandths with this set of comprehensive pdf resources. Underline the correct digit according to the given place value. Download this entire set to gain ample practice in decimal place value.

  • Download the set

Underline the Digit: Up to Millionths

Underline the Digit: Up to Millionths

For the given set of decimals, identify and underline the digit according to the place value. Each question contains four decimals. The decimal numbers in these printable worksheets have place values up to millionths.

Identify the Place Value of Underlined Digits: Up to Thousandths

Identify the Place Value of Underlined Digits: Up to Thousandths

Identify and write down the value of the underlined digit in word or numerical form. It includes place value up to thousandths. A few word problems have been thrown into the mix for variety!

Identify the Place Value of Underlined Digits: Up to Millionths

Identify the Place Value of Underlined Digits: Up to Millionths

The decimals in this set of worksheets contain decimal parts up to millionths. Represent the place value of the underlined digit in each decimal. Simple word problems based on place value are also featured here.

Write the Place Value of the Digits

Write the Place Value of the Digits

This array of resourceful pdf worksheets comprises six problems per page. Note down the place value for the particular digit specified in each question. Use the answer key to verify your responses.

Identify the Decimal Based on Place Value - MCQs

Identify the Decimal Based on Place Value - MCQs

Practice this series of MCQs to gauge the ability of young learners in solving problems on place value. Apply your logical skills and choose the correct answer from the list of options. Identify the decimal that contains the digit with the specified place value.

Place Value - Money

Place Value - Money

In these printable money worksheets, find the place value of the underlined digit in each decimal number (expressed in dollars). When the underlined digit holds tenths and hundredths, answers can also be written with a cent(¢) sign. 'Download all' for a unique learning experience.

Decimal Place Value Charts

Decimal Place Value Charts

Looking for some displays to teach decimal place values to kids? Get instant access to several visually engaging charts, printable posters, and customizable templates on place values of a decimal number with just a single click!

(28 Worksheets)

Decimal Number Names

Decimal Number Names

Impart knowledge of decimal number names to 4th grade and 5th grade students with this assortment of printable worksheets! Express decimal numbers in the word form and translate such names to decimal numerals.

(75 Worksheets)

Decimals in Standard and Expanded Forms

Decimals in Standard and Expanded Forms

Now that you're well versed with decimal place values, converting between their standard and expanded forms is no tall order. Expand a decimal number according to the place value of its digits, as well as truncate a decimal expansion to the standard numerical form.

(78 Worksheets)

Related Worksheets

» Rounding Decimals

» Place Value Charts

» Decimals on a Number Line

» Place Value

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Place Value Worksheets

Welcome to the Place Value worksheets page at Math-Drills.com! This page includes Place value worksheets for whole numbers and decimals including place value charts. Students who have a good understanding of place value will certainly excel at math. They will be better at estimating, calculating, and conceptualizing and may go on to great mathematical success in school and beyond.

Most Popular Place Value Worksheets this Week

Decimal Place Value Chart (Hundred Millions to Millionths)

Place Value Charts

decimal place value practice questions

Place value charts can be used to learn about place value. They might also be useful in correcting student thinking when they don't quite get the place holder concept (e.g. writing 132 as 100302 or 1004 as 14). Place value charts can also be used for addition, subtraction, multiplication and division. For example, to add two numbers, write each addend in its own row then add starting with the lowest place, regroup and keep moving to the left until the third row shows the sum. Each place value chart includes multiple lines for this purpose. Division on a place value chart parallels the long division algorithm, so it might be a good place to go if students are struggling with long division. There are plenty of place value charts in this section with different ranges both for whole and decimal numbers.

  • Place Value Charts Place Value Chart to Hundreds Place Value Chart to Thousands Place Value Chart to Ten Thousands Place Value Chart to Hundred Thousands Place Value Chart to Millions Place Value Chart to Ten Millions Place Value Chart to Hundred Millions
  • Decimal Place Value Charts Decimal Place Value Chart ( Ones to Hundredths ) Decimal Place Value Chart ( Ones to Thousandths ) Decimal Place Value Chart ( Hundreds to Hundredths ) Decimal Place Value Chart ( Thousands to Thousandths ) Decimal Place Value Chart ( Hundred Thousands to Thousandths ) Decimal Place Value Chart ( Hundred Millions to Millionths )

The main difference in the decimal place value charts in this section is that a comma is used as a decimal. Many countries outside of North America use this number format.

  • European Format Decimal Place Value Charts European Format Decimal Place Value Chart ( Ones to Hundredths ) European Format Decimal Place Value Chart ( Ones to Thousandths ) European Format Decimal Place Value Chart ( Hundreds to Hundredths ) European Format Decimal Place Value Chart ( Thousands to Thousandths ) European Format Decimal Place Value Chart ( Hundred Thousands to Thousandths ) European Format Decimal Place Value Chart ( Hundred Millions to Millionths )

decimal place value practice questions

Starting at the very beginning, students learn the names of numbers and probably how to count. They may start encountering individual numbers in writing, and learn how to identify them. Then things start getting complicated! Two- and three-digit numbers start to enter their lives and they must learn how to name those, and that is when a good knowledge of place comes in handy. In order to say the number 793, for example, children must know that the 7 is in the hundreds place, the 9 is in the tens place and the 3 is in the ones place to be able to say, "Seven hundred ninety-three."

"Determine Place and Value" worksheets are listed first in this section as they are the ones that are used most frequently. Students are asked to identify both the place and the value of an underlined digit. For example in 4 5,678, the underlined 4 is in the ten thousands place and has a value of 40,000. If students need a little more instruction to help them learn place value, the "Identify Place Only" worksheets might help. In those, students only have to determine which place is underlined. For example, in 4 5 ,678, they would say the thousands place is underlined.

There are also two worksheets for re-writing numbers with thousands separators. The first is not overly exciting, but the second also gets the student to follow a path to build the number before including the thousands separators.

  • Determine Place and Value Worksheets Determine Place and Value (to Hundreds ) ✎ Determine Place and Value (to Hundreds ) Large Print ✎ Determine Place and Value (to Thousands ) ✎ Determine Place and Value (to Thousands ) Large Print ✎ Determine Place and Value (to Ten Thousands ) ✎ Determine Place and Value (to Ten Thousands ) Large Print ✎ Determine Place and Value (to Hundred Thousands ) ✎ Determine Place and Value (to Hundred Thousands ) Large Print Determine Place and Value (to Millions ) ✎ Determine Place and Value (to Millions ) Large Print ✎ Determine Place and Value (to Ten Millions ) ✎ Determine Place and Value (to Ten Millions ) Large Print ✎ Determine Place and Value (to Hundred Millions ) ✎ Determine Place and Value (to Hundred Millions ) Large Print ✎
  • Identify Place Only Worksheets Identify Place Only (to Hundreds ) ✎ Identify Place Only (to Hundreds ) Large Print ✎ Identify Place Only (to Thousands ) ✎ Identify Place Only (to Thousands ) Large Print ✎ Identify Place Only (to Ten Thousands ) ✎ Identify Place Only (to Ten Thousands ) Large Print ✎ Identify Place Only (to Hundred Thousands ) ✎ Identify Place Only (to Hundred Thousands ) Large Print ✎ Identify Place Only (to Millions ) ✎ Identify Place Only (to Millions ) Large Print ✎ Identify Place Only (to Ten Millions ) ✎ Identify Place Only (to Ten Millions ) Large Print ✎ Identify Place Only (to Hundred Millions ) ✎ Identify Place Only (to Hundred Millions ) Large Print ✎
  • Re-Write Numbers with Thousands Separators Worksheets Re-Write Numbers with Thousands Separators Follow the Arrows to Build a Number and Insert Thousands Separators (Grid Numbers in Order) Follow the Arrows to Build a Number and Insert Thousands Separators (Grid Numbers Mixed)

Similar to the last section, but the numbers in this section are formatted with thin spaces for thousands separators as you might find in Canada or other English countries that have adopted the Metric (or S.I.) system. The final worksheet has students re-write numbers with spaces as thousands separators.

  • Determine Place and Value Worksheets (SI Format: Space-Separated Thousands) SI Format Determine Place and Value (to Thousands ) ✎ SI Format Determine Place and Value (to Thousands ) Large Print ✎ SI Format Determine Place and Value (to Ten Thousands ) ✎ SI Format Determine Place and Value (to Ten Thousands ) Large Print ✎ SI Format Determine Place and Value (to Hundred Thousands ) ✎ SI Format Determine Place and Value (to Hundred Thousands ) Large Print ✎ SI Format Determine Place and Value (to Millions ) ✎ SI Format Determine Place and Value (to Millions ) Large Print ✎ SI Format Determine Place and Value (to Ten Millions ) ✎ SI Format Determine Place and Value (to Ten Millions ) Large Print ✎ SI Format Determine Place and Value (to Hundred Millions ) ✎ SI Format Determine Place and Value (to Hundred Millions ) Large Print ✎
  • Identify Place Only Worksheets (SI Format: Space-Separated Thousands) SI Format Identify Place Only (to Thousands ) ✎ SI Format Identify Place Only (to Thousands ) Large Print ✎ SI Format Identify Place Only (to Ten Thousands ) ✎ SI Format Identify Place Only (to Ten Thousands ) Large Print ✎ SI Format Identify Place Only (to Hundred Thousands ) ✎ SI Format Identify Place Only (to Hundred Thousands ) Large Print ✎ SI Format Identify Place Only (to Millions ) ✎ SI Format Identify Place Only (to Millions ) Large Print ✎ SI Format Identify Place Only (to Ten Millions ) ✎ SI Format Identify Place Only (to Ten Millions ) Large Print ✎ SI Format Identify Place Only (to Hundred Millions ) ✎ SI Format Identify Place Only (to Hundred Millions ) Large Print ✎
  • Re-Write Numbers with Thousands Separators Worksheets (SI Format: Space-Separated Thousands) SI Format Re-Write Numbers with Thousands Separators

The worksheets in this section are similar to the previous two sections, but use a point-comma format for numbers where the point is used as a thousands separator and a comma is used as a decimal.

  • Determine Place and Value Worksheets (European Format: Period-Separated Thousands) European Determine Place and Value (to Thousands ) ✎ European Determine Place and Value (to Thousands ) Large Print ✎ European Determine Place and Value (to Ten Thousands ) ✎ European Determine Place and Value (to Ten Thousands ) Large Print ✎ European Determine Place and Value (to Hundred Thousands ) ✎ European Determine Place and Value (to Hundred Thousands ) Large Print ✎ European Determine Place and Value (to Millions ) ✎ European Determine Place and Value (to Millions ) Large Print ✎ European Determine Place and Value (to Ten Millions ) ✎ European Determine Place and Value (to Ten Millions ) Large Print ✎ European Determine Place and Value (to Hundred Millions ) ✎ European Determine Place and Value (to Hundred Millions ) Large Print ✎
  • Identify Place Only Worksheets (European Format: Period-Separated Thousands) European Identify Place Only (to Thousands ) ✎ European Identify Place Only (to Thousands ) Large Print ✎ European Identify Place Only (to Ten Thousands ) ✎ European Identify Place Only (to Ten Thousands ) Large Print ✎ European Identify Place Only (to Hundred Thousands ) ✎ European Identify Place Only (to Hundred Thousands ) Large Print ✎ European Identify Place Only (to Millions ) ✎ European Identify Place Only (to Millions ) Large Print ✎ European Identify Place Only (to Ten Millions ) ✎ European Identify Place Only (to Ten Millions ) Large Print ✎ European Identify Place Only (to Hundred Millions ) ✎ European Identify Place Only (to Hundred Millions ) Large Print ✎
  • Re-Write Numbers with Thousands Separators Worksheets (European Format: Period-Separated Thousands) European Re-Write Numbers with Thousands Separators

Decimal Place Value Worksheets

decimal place value practice questions

So, you've learned all the places before the decimal, how about the ones after the decimal? These worksheets might help. Unlike the numbers before the decimal, the ones after aren't usually in groups of three, so it is necessary to count very carefully and remember that the first place after the decimal is tenths. If you have trouble, try using a place value chart. As an added bonus, students can also practice their whole number place values as every question includes an underlined whole number digit and an underlined decimal digit.

  • Determine Place and Value of Decimal Numbers Worksheets Determine Place and Value of Decimal Numbers ( Hundredths to Tens ) ✎ Determine Place and Value of Decimal Numbers ( Hundredths to Tens ) Large Print ✎ Determine Place and Value of Decimal Numbers ( Thousandths to Hundreds ) ✎ Determine Place and Value of Decimal Numbers ( Thousandths to Hundreds ) Large Print ✎ Determine Place and Value of Decimal Numbers ( Ten Thousandths to Thousands ) ✎ Determine Place and Value of Decimal Numbers ( Ten Thousandths to Thousands ) Large Print ✎ Determine Place and Value of Decimal Numbers ( Hundred Thousandths to Ten Thousands ) ✎ Determine Place and Value of Decimal Numbers ( Hundred Thousandths to Ten Thousands ) Large Print ✎ Determine Place and Value of Decimal Numbers ( Millionths to Hundred Thousands ) ✎ Determine Place and Value of Decimal Numbers ( Millionths to Hundred Thousands ) Large Print ✎ Determine Place and Value of Decimal Numbers ( Ten Millionths to Millions ) ✎ Determine Place and Value of Decimal Numbers ( Ten Millionths to Millions ) Large Print ✎
  • Identify Place Only of Decimal Numbers Worksheets Identify Place Only of Decimal Numbers ( Hundredths to Tens ) ✎ Identify Place Only of Decimal Numbers ( Hundredths to Tens ) Large Print ✎ Identify Place Only of Decimal Numbers ( Thousandths to Hundreds ) ✎ Identify Place Only of Decimal Numbers ( Thousandths to Hundreds ) Large Print ✎ Identify Place Only of Decimal Numbers ( Ten Thousandths to Thousands ) ✎ Identify Place Only of Decimal Numbers ( Ten Thousandths to Thousands ) Large Print ✎ Identify Place Only of Decimal Numbers ( Hundred Thousandths to Ten Thousands ) ✎ Identify Place Only of Decimal Numbers ( Hundred Thousandths to Ten Thousands ) Large Print ✎ Identify Place Only of Decimal Numbers ( Millionths to Hundred Thousands ) ✎ Identify Place Only of Decimal Numbers ( Millionths to Hundred Thousands ) Large Print ✎ Identify Place Only of Decimal Numbers ( Ten Millionths to Millions ) ✎ Identify Place Only of Decimal Numbers ( Ten Millionths to Millions ) Large Print ✎

Very much the same as the previous section, but a thin space for a thousands separator is used. The lesser numbers are excluded from this section as there is no thousands separator involved, so the worksheets in the U.S. section can be used.

  • Determine Place and Value of Decimal Numbers Worksheets (SI Format: Space-Separated Thousands) SI Format Determine Place and Value of Decimal Numbers ( Hundred Thousandths to Ten Thousands ) ✎ SI Format Determine Place and Value of Decimal Numbers ( Hundred Thousandths to Ten Thousands ) Large Print ✎ SI Format Determine Place and Value of Decimal Numbers ( Millionths to Hundred Thousands ) ✎ SI Format Determine Place and Value of Decimal Numbers ( Millionths to Hundred Thousands ) Large Print ✎ SI Format Determine Place and Value of Decimal Numbers ( Ten Millionths to Millions ) ✎ SI Format Determine Place and Value of Decimal Numbers ( Ten Millionths to Millions ) Large Print ✎
  • Identify Place Only of Decimal Numbers Worksheets (SI Format: Space-Separated Thousands) SI Format Identify Place Only of Decimal Numbers ( Hundred Thousandths to Ten Thousands ) ✎ SI Format Identify Place Only of Decimal Numbers ( Hundred Thousandths to Ten Thousands ) Large Print ✎ SI Format Identify Place Only of Decimal Numbers ( Millionths to Hundred Thousands ) ✎ SI Format Identify Place Only of Decimal Numbers ( Millionths to Hundred Thousands ) Large Print ✎ SI Format Identify Place Only of Decimal Numbers ( Ten Millionths to Millions ) ✎ SI Format Identify Place Only of Decimal Numbers ( Ten Millionths to Millions ) Large Print ✎

The European Format uses a comma for a decimal and periods for thousands separators.

  • Determine Place and Value of Decimal Numbers Worksheets (European Format: Period-Separated Thousands and Comma Decimal) European Format Determine Place and Value of Decimal Numbers ( Hundredths to Tens ) European Format Determine Place and Value of Decimal Numbers ( Hundredths to Tens ) Large Print ✎ European Format Determine Place and Value of Decimal Numbers ( Thousandths to Hundreds ) ✎ European Format Determine Place and Value of Decimal Numbers ( Thousandths to Hundreds ) Large Print ✎ European Format Determine Place and Value of Decimal Numbers ( Ten Thousandths to Thousands ) ✎ European Format Determine Place and Value of Decimal Numbers ( Ten Thousandths to Thousands ) Large Print ✎ European Format Determine Place and Value of Decimal Numbers ( Hundred Thousandths to Ten Thousands ) ✎ European Format Determine Place and Value of Decimal Numbers ( Hundred Thousandths to Ten Thousands ) Large Print ✎ European Format Determine Place and Value of Decimal Numbers ( Millionths to Hundred Thousands ) ✎ European Format Determine Place and Value of Decimal Numbers ( Millionths to Hundred Thousands ) Large Print ✎ European Format Determine Place and Value of Decimal Numbers ( Ten Millionths to Millions ) ✎ European Format Determine Place and Value of Decimal Numbers ( Ten Millionths to Millions ) Large Print ✎
  • Identify Place Only of Decimal Numbers Worksheets (European Format: Period-Separated Thousands and Comma Decimal) European Format Identify Place Only of Decimal Numbers ( Hundredths to Tens ) ✎ European Format Identify Place Only of Decimal Numbers ( Hundredths to Tens ) Large Print ✎ European Format Identify Place Only of Decimal Numbers ( Thousandths to Hundreds ) ✎ European Format Identify Place Only of Decimal Numbers ( Thousandths to Hundreds ) Large Print ✎ European Format Identify Place Only of Decimal Numbers ( Ten Thousandths to Thousands ) ✎ European Format Identify Place Only of Decimal Numbers ( Ten Thousandths to Thousands ) Large Print ✎ European Format Identify Place Only of Decimal Numbers ( Hundred Thousandths to Ten Thousands ) ✎ European Format Identify Place Only of Decimal Numbers ( Hundred Thousandths to Ten Thousands ) Large Print ✎ European Format Identify Place Only of Decimal Numbers ( Millionths to Hundred Thousands ) ✎ European Format Identify Place Only of Decimal Numbers ( Millionths to Hundred Thousands ) Large Print ✎ European Format Identify Place Only of Decimal Numbers ( Ten Millionths to Millions ) ✎ European Format Identify Place Only of Decimal Numbers ( Ten Millionths to Millions ) Large Print ✎

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Free Math Worksheets – Math Fun Worksheets

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PLACE VALUE FOR DECIMAL

Home > Numbers & Operations > Place Value > Place value for Decimals

PLACE VALUE FOR DECIMALS

Free printable place value worksheets for decimals are for Grade 4 through Grade 6. we have learnt the place value of whole numbers. Decimal number place value system starts from tenths. A whole number is seperated from it’s decimal number using a dot(.) .

Eg. 834.986

Whole Number- 843 is seperated from its Decimal number 986 using a dot.

Lets look into the decimal numbers now. 9 tenths = 9/10 This can also be written as 0.9 8 hundredths = 8/100 8/100 can also be represented as 0.08 6 thousandths = 6/1000 This is written as 0.006

In the whole number decimal system we used tens, hundreds, thousands, ten thousands. Here, we will use ten ths , hundred ths , thousand ths , ten thousand ths , and more. Lets learn to read decimal numbers and write them in words. 1. 0.7 is read as Seven tenths 2. 2.68 is read as Two and sixty eight hundredths 3. 55.937 is read as Fifty five and nine hundred thirty seven thousandths 4. 623.1472 is read as Six hundred twenty three and one thousand four hundres seventy two ten thousandths .

Download all these free worksheets to learn decimal place value system and to round decimal numbers withe reference to their place value.

PRINTABLE DECIMAL PLACE VALUE WORKSHEETS

RELATED PLACE VALUE TOPICS   :    2 digit place value ,  3 digit place value , 4 digit place value , 5 digit place value , 6 digit place value

Decimal place value - 3 digits

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Decimal Place value Worksheets

Decimal place value - 4 digits

Decimal Place value Worksheets

Decimal place value - 5 digits

Decimal Place value Worksheets

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Decimal Place value Worksheets

Round decimal numbers

Decimal Place value Worksheets

Round numbers and find the sum or difference

Decimal Place value Worksheets

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decimal place value practice questions

What is Decimal Place Value?

Decimals made easy! The ins and outs of decimal place values – what they’re named, how they work, and applying them to real problems

headshot of author Tess Loucka

Author Tess Loucka

decimal place value practice questions

Published November 7, 2023

decimal place value practice questions

Published Nov 1, 2023

Published Nov 7, 2023

  • Key takeaways
  • Decimal numbers get smaller the farther away from the decimal point they are. Decimal places closer to the decimal point are bigger.
  • Adding zeros after a decimal number does not change the number’s value.
  • To round decimal places, look at the number that comes after the decimal place value you are rounding to. Numbers 5 or more are rounded up. Numbers 4 or less can be kept the same.

Table of contents

  • What is decimal place value?
  • What are the decimal places?

Practice problems

When you’re buying something from the store or measuring something with a ruler, you’ve probably noticed that you don’t always get whole numbers . For example, a candy bar might cost $1.98 or a shelf in your room might be 15.25 inches long. 

But how do you work with numbers like this? 

In this article, we’ll go over decimal place values , decimal comparison, rounding decimals, and the decimal place value chart . 

decimal place value practice questions

Decimals are numbers made up of a whole number followed by a fractional number. These two numbers are separated by a dot called a decimal point. 

For example, 13.5 is a decimal number because of the decimal point in the middle. The 13 is the whole number and the 5 is a fractional part.

Numbers that come after decimal points should be thought of as fractions. The position a number falls in relation to the decimal point is called its decimals place value . 

Let’s take a look at a decimal places chart to better understand each decimal place.

What are the Decimal Places?

Decimal place values have different names and values according to how close or far away they are from the decimal point. The decimal places are all powers of 10. This is visualized on the decimal chart . 

Place value chart with decimals:

decimal place value

Take a look at the decimals chart above. 

Decimal numbers get smaller as they move farther away from the decimal point, and larger as they move closer. Whole numbers are the opposite. 

Let’s compare the tens place and the tenths place . When a whole number reaches the tens place, it means there are tens of something . When a decimal number reaches the tenths place , it means there is a tenth of something or a fraction of a whole. 

Tenths Place

decimal place value practice questions

The tenths place is one decimal place after the decimal point and is the largest value decimal place. Numbers in this place are called tenths because when turned into fractions, they are put over a 10. 

Ex. 13.5 = 13 5/10 or 13 ½ when simplified

Hundredths Place

The hundredths place comes second after the decimal point. When decimal numbers reach this place, it means they will be written over 100 in fraction form. 

Ex. 12.25 = 12 25/100 or 12 ¼  

Thousandths Place

The thousandths place comes third after the decimal point. When turned into a fraction, these numbers will be written over 1,000. 

Ex. 3.825 = 3 825/1,000 or 3 33/44

Comparing Decimal Values

We already mentioned that negative numbers appear on thermometers to show us that the temperature is “below zero”, but that’s not the only real-life example of negative numbers. 

Negative numbers are all around us! When we make purchases, the money or credit due is a negative number. Negative numbers also appear on elevation maps to indicate places that are “below sea level”. 

Negative numbers can be used as penalties in games, quizzes, and tests. When you get an answer wrong, you may get -5 points, meaning 5 points are being taken away from your total score. 

In sports, too, negative numbers can be used to denote the scores of teams. One great example is golf. The golfer with the lowest score, which represents the least amount of strokes, wins!

As you can see, there are many real-world applications of negative numbers. They may not be as common as positive numbers, but they’re just as important. 

Now, let’s go over the rules for working with negative numbers. 

How to Round Decimals Using Decimal Place Values

Pi is a rare number that has 31.4 trillion decimal place values and counting!

When doing math with pi, mathematicians definitely don’t use 31.4 trillion decimal places. They round pi down to a more manageable number. At NASA , pi is rounded down to 15 digits: 3.14159265358979. 

Let’s try rounding to the one decimal place . 

What is 12.57 rounded to the nearest tenths place ? 

We’re rounding to the tenths place , so look at the hundredths place . In this case, that’s 7.

Next, determine whether this number is 5 or more, or 4 or less. Numbers 5 or more are rounded up. Numbers 4 or less are kept the same. In this case, round up since 7 falls under the category of 5 or more. 

So, 12.57 rounded to the nearest tenth is 12.6. 

Now let’s try to round to three decimal places . What is 2.4983 rounded to the nearest thousandths place ? 

The number that comes after the thousandths place is 3. Since 3 falls under the category of 4 or less, we will be keeping the number in the thousandths place the same. 

So, 2.4983 rounded to the nearest thousandth is 2.498. 

For more help with reading, writing, and rounding decimals, there are great online math apps and websites you can use that will provide you with detailed instruction, a decimals place value chart , practice questions, and explanations to strengthen your understanding of decimals.

Click on the boxes below to see the answers!

Answer: 5 34/100.

Since the number 5.34 ends in the hundredths decimal place, the number after the decimal point can be written over 100 in fraction form.

Answer: 8.72

To round to the second decimal place, look at the number that comes after it in the thousandths place, 3. Since 3 is smaller than 5, you keep the hundredths place the same. So, 8.723 rounded to the second decimal place is 8.72.

Answer: 1.6

To compare the size of decimal numbers, start by comparing the whole numbers and work your way to the right. The number 1.54 has a 5 in the tenths place while 1.6 has a 6 in the tenths place. Six is larger than 5, so 1.6 is the larger number.

FAQs about Decimal Place Value

Decimal place value is the value of numbers according to how far away they are from a decimal point. Place values after a decimal point represent fractions of a whole number.

Place value in decimals starts with the tenths place and grows by powers of 10 as you move to the right. The second place value is the hundredths place and the third is the thousandths place .

No, negative numbers are not whole numbers. Whole numbers are only positive round numbers, including 0.

The hundredths place in a decimal is the second decimal place value after the decimal point.

Group 208

Lesson credits

headshot of author Tess Loucka

Tess Loucka

Tess Loucka discovered her passion for writing in high school and has not stopped writing since. Combined with her love of numbers, she became a math and English tutor, focusing on middle- and high-school-level topics. Since graduating from Hunter College, her goal has been to use her writing to spread knowledge and the joy of learning to readers of all ages.

decimal place value practice questions

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Place Value Decimals (Tenths)

The place value PDFs on this page can be used for teaching students to write numbers in word name format, standard notation, and expanded form. Also review ordering numbers, comparing numbers, and more.

Place Value Worksheets: Decimals (Tenths)

Decimal Place Value

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Decimal Place Value – Definition, Examples, Practice Problems

Created: January 7, 2024

Last updated: January 10, 2024

At Brighterly , we believe that understanding decimals and their place value is a crucial skill for children learning mathematics. Through our comprehensive and interactive approach, we aim to make learning fun and engaging. In this blog post, we will delve into the fascinating world of decimals and place value, providing clear explanations, real-life examples, and interactive practice questions to strengthen your child’s understanding and foster a lifelong love for mathematics.

What is Decimal Place Value?

Decimal place value is the value of each digit in a decimal number based on its position relative to the decimal point. Just as in whole numbers, the position of a digit in a decimal number determines its value. Each place to the right of the decimal point is worth ten times less than the one immediately to its left.

For example, in the number 42.37:

  • The digit 4 is in the tens place, making it worth 40.
  • The digit 2 is in the ones place, making it worth 2.
  • The digit 3 is in the tenths place, making it worth 0.3.
  • The digit 7 is in the hundredths place, making it worth 0.07.

Dividing Whole Numbers By Decimals Worksheet PDF

Dividing Whole Numbers By Decimals Worksheet

Dividing Decimals By Whole Numbers Worksheet PDF

Dividing Decimals By Whole Numbers Worksheet

In order to better master this topic, we recommend that you pay attention to the math worksheets from Brighterly. They will allow you to learn and consolidate your knowledge on the topic Decimal Place Value.

Decimal Place Value Chart

A decimal place value chart is a visual representation of the values of the digits in a decimal number. It helps in understanding and identifying the place value of each digit in a decimal number. The chart typically shows columns for each decimal place, including whole numbers, tenths, hundredths, and so on. Using a decimal place value chart can help children gain a better understanding of the decimal system and how the value of each digit is determined by its position in the number.

Decimal Chart to Hundredths

A decimal chart to hundredths is a chart that shows decimal numbers up to the hundredths place. It is useful for teaching children about decimal place value and for comparing and ordering decimal numbers. The chart can be organized in various ways, such as by rows and columns, and can include whole numbers, tenths, and hundredths.

About Decimal Place Value System

The decimal place value system is a way of representing numbers using a base-10 system. In this system, each position in a number has a value that is a power of 10. The decimal point is used to separate the whole number part from the fractional part. The place values to the right of the decimal point are tenths, hundredths, thousandths, and so on, with each place being worth ten times less than the one to its left. Understanding the decimal place value system is essential for working with decimals in various mathematical operations, such as addition, subtraction, multiplication, and division.

Standard Form

The standard form of a decimal number is the most common way of writing decimal numbers, with the digits arranged according to their place value and separated by a decimal point. For example, the standard form of the number “four and thirty-seven hundredths” is written as 4.37.

Expanded Form

The expanded form of a decimal number shows the value of each digit in the number, separated by addition symbols. For example, the expanded form of the number 4.37 is written as 4 + 0.3 + 0.07, indicating the value of each digit in the number.

Writing Decimal Numbers in the Decimal Place Value

Writing decimal numbers in the decimal place value system involves placing each digit in its correct position relative to the decimal point. To do this, identify the place value of each digit and write the number accordingly. For example, to write the decimal number 0.528:

  • The digit 5 is in the tenths place.
  • The digit 2 is in the hundredths place.
  • The digit 8 is in the thousandths place.

So, the number is written as 0.528.

Understanding the Decimal Place Value Chart

To understand the decimal place value chart, start by recognizing that each column represents a different place value. From left to right, the place values decrease by a factor of ten. The chart can be used to help visualize the position of each digit in a decimal number, making it easier to understand the value of each digit and perform mathematical operations with decimals.

Decimal Place Value Examples

Let’s look at some examples to further illustrate the concept of decimal place value:

In the number 7.14:

  • The digit 7 is in the ones place.
  • The digit 1 is in the tenths place.
  • The digit 4 is in the hundredths place.

In the number 0.009:

  • The digit 0 is in the tenths place.
  • The digit 0 is in the hundredths place.
  • The digit 9 is in the thousandths place.

Division Of Decimals By Whole Numbers Worksheets

Division Of Decimals By Whole Numbers Worksheets

Dividing Decimals By Whole Numbers Worksheet Answer Key

Dividing Decimals By Whole Numbers Worksheet Answer Key

Practice Questions on Decimal Place Value

Here are some practice questions to test your understanding of decimal place value:

  • What is the value of the digit 3 in the number 0.831?
  • Write the number “six and twenty-five hundredths” in standard form.
  • Write the expanded form of the number 12.09.
  • Arrange the following decimal numbers in ascending order: 0.45, 0.2, 0.12, 0.3.

Mastering decimal place value is a cornerstone of mathematics education and a vital skill for working with decimal numbers effectively. At Brighterly, our mission is to empower children with the knowledge and tools they need to excel in mathematics and beyond. By learning about decimal place value and practicing with our carefully curated examples and exercises, children can become more confident, proficient, and enthusiastic about their mathematical abilities. Remember, a solid understanding of decimals and place value will open doors to a world of exciting mathematical possibilities! Join us at Brighterly and help your child unlock their full potential.

Frequently Asked Questions on Decimal Place Value

What is the difference between decimal place value and whole number place value.

Decimal place value refers to the value of digits in a decimal number, while whole number place value refers to the value of digits in a whole number. In both systems, the value of each digit is determined by its position relative to the decimal point or ones place, but decimal place values decrease by a factor of ten moving to the right of the decimal point.

How do you round decimal numbers?

Rounding decimal numbers involves adjusting the value of a decimal number to a specified place value. To round a decimal number, look at the digit immediately to the right of the desired rounding place. If this digit is 5 or greater, increase the digit in the rounding place by 1. If the digit is less than 5, leave the digit in the rounding place unchanged. All digits to the right of the rounding place are removed.

Why is understanding decimal place value important?

Understanding decimal place value is important because it forms the foundation for working with decimal numbers in various mathematical operations, such as addition, subtraction, multiplication, and division. It also helps children develop number sense and the ability to compare, order, and estimate decimal numbers.

  • Decimal (Wikipedia)
  • Decimals and Place Value (BBC Bitesize)
  • Place Value and Decimals (National Council of Teachers of Mathematics – NCTM)

Jessica is a a seasoned math tutor with over a decade of experience in the field. With a BSc and Master’s degree in Mathematics, she enjoys nurturing math geniuses, regardless of their age, grade, and skills. Apart from tutoring, Jessica blogs at Brighterly. She also has experience in child psychology, homeschooling and curriculum consultation for schools and EdTech websites.

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Welcome to another enlightening post from Brighterly, your trusted partner in making the world of mathematics accessible, enjoyable, and truly brighter for children! Today, we’re tackling a critical cornerstone of arithmetic – Long Multiplication. Understanding and mastering long multiplication is akin to learning a new language. It’s a step-by-step dialogue between numbers, each communicating their […]

In words, 99 is spelled as “ninety-nine”. This number is one less than one hundred. If you are counting ninety-nine balloons, this means you have a bunch of ninety balloons, and then you add nine more balloons to this bunch, making a total of ninety-nine balloons. Tens Ones 9 9 How to Write 99 in […]

Welcome to another adventurous journey into the thrilling universe of numbers on the Brighterly platform. Our mission today? To navigate the intriguing world of factor pairs. Here at Brighterly, we believe that every child has the potential to become a champion mathematician, and through our engaging and easy-to-understand posts, we aim to make the learning […]

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Place Value Questions

Place value questions with solutions are provided here for students to practice and enhance their skills. The place value of a digit in a number represents the position or place of that digit. For example, the place value of 2 in 726 is the tens place. Knowledge of place values will help kids to write numbers in words in both Indian and international systems.

Place value charts in Indian and International systems of numerals :

Learn more about Place Values .

Place Value Questions with Solution

Identifying the place value of a digit within a given number are taught to students of grades 1 to 5. These questions on place values will help them affirm their concept regarding place values and the numeral system.

Question 1: Find the place value of 5 for the following numbers:

Question 2: Find the place value of 2 and 7 for the following numbers:

(iii) 28467

Questions 3: Fill in the blanks:

(i) 20600 + ____ + 30 + 5 = 28635.

(ii) _____ + ____ + 86 = 4586.

(iii) 4000 + 3 + 400 + ____ = 4443.

(iv) 34589 = _____ + _____ + ____ + ______ +_____.

(i) 20600 + 8000 + 30 + 5 = 28635.

(ii) 4000 + 500 + 86 = 4586.

(iii) 4000 + 3 + 400 + 40 = 4443.

(iv) 34589 = 30,000 + 4000 + 500 + 80 + 9 .

  • Numbers in Words
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  • Types of Numbers

Question 4: Identify the number which has 4 in tens place and 8 in thousands place. The digit in ones is half the sum of the digits in tens and thousands, and the digit in hundreds place is six less than the digit in ones place. Find the number.

Given, the number has 4 in the tens place and 8 in thousands place.

Digit in ones place = (8 + 4) ÷ 2 = 12/2 = 6

Digit in hundreds place = less than the digit in ones place = 6 – 6 = 0

Thus, the number is –

Question 5: Write following numbers in the place value chart in both Indian and International system:

(ii) 912597

(iii) 213709

(iv) 120986

Question 6: Find the sum and product of the place value and face value of 6 in the number 86245.

Place value of 6 = 6000

Face value of 6 = 6

6000 + 6 = 6006

6000 × 6 = 36000

Question 7: State ‘true’ or ‘false’ for the following statements:

(i) The place value and face value of any digit in ones place are the same.

(ii) Sum of the place values of 3 in the numbers 3986 and 9723 is 3030.

(iii) 300 + 60 + 5 = 356.

(iv) The face value of any digit is either less than or equal to the place value of the digit.

(v) The product of the place value of 4 in 4956 and the face value of 7 in 171 is 280000.

(i) The place value and face value of any digit in ones place are the same. (True)

(ii) Sum of the place values of 3 in the numbers 3986 and 9723 is 3030. (False)

(iii) 300 + 60 + 5 = 356. (False)

(iv) The face value of any digit is either less than or equal to the place value of the digit. (True)

(v) The product of the place value of 4 in 4956 and the face value of 7 in 171 is 280000. (False)

Question 8: Write the following numbers in words according to the Indian system:

(ii) 129644

(iii) 25456

(i) 94562 – Ninety-four thousand five hundred sixty-two.

(ii) 129644 – One lakh twenty-nine thousand six hundred forty-four.

(iii) 2545600 – Twenty-five lakhs forty-five thousand six hundred.

(v) 30764 – Thirty thousand seven hundred sixty-four.

Question 9: Write the following numbers in words according to the International system:

(ii) 5720964

(iii) 40972

(iv) 497114

(i) 34921 – Thirty-four thousand nine hundred twenty-one

(ii) 5720964 – Five million seven hundred twenty thousand nine hundred sixty-four

(iii) 40972 – Forty thousand nine hundred seventy-two

(iv) 497114 – Four hundred ninety-seven thousand one hundred fourteen

Question 10: Compare the following using ‘>’, ‘<’ or ‘=’:

(i) Place value of 3 in 3245 ____ Place value of 6 in 265

(ii) Places value of 5 in 456 ____ Place value of 2 in 234

(iii) Place value of 7 in 7980 ____ Place value of 5 in 5790

(iv) Place value of 4 in 234 ____ Face value of 9 in 494

(i) Place value of 3 in 3245 > Place value of 6 in 265

(ii) Places value of 5 in 456 < Place value of 2 in 234

(iii) Place value of 7 in 7980 > Place value of 5 in 5790

(iv) Place value of 4 in 234 = Face value of 4 in 495

Question 11: Write the following numbers in the place value charts:

(ii) 325.006

(iii) 0.976

Question 12: Fill in the blanks:

(i) 1 × 100 + 2 × 10 + 8 × 1 + 5 × 1/10 + 2 × 1/100 = _____.

(ii) 2 × 1000 + 28 × 10 + 1 × 1/10 + 1 × 1/100 = ________.

(iii) 0.008 + 1.07 + 0.5 = _______.

(iv) 300 + 4 + 45 + 0.0006 + 0.007 + 0.08 = ______.

(i) 1 × 100 + 2 × 10 + 8 × 1 + 5 × 1/10 + 2 × 1/100 = 128.52

(ii) 2 × 1000 + 28 × 10 + 1 × 1/10 + 1 × 1/100 = 2280.11

(iii) 0.008 + 1.07 + 0.5 = 1.578

(iv) 300 + 4 + 45 + 0.0006 + 0.007 + 0.08 = 349.0876

Practice Questions:

1. Find the place value of 6 for the following numbers:

(iii) 497612

2. The digits in the tens and the thousands place of a number are 3 and 9, respectively. The digit in the ones and the ten thousands places are 3 and 4 more than the digit in tens place. If the digit in the hundreds place is three less than the digit in ten thousands place, find the number.

3. Fill in the blanks:

(i) 3000 + 700 + _____ + 8 = 3758.

(ii) 200 + 9050 + 4 = ______.

(iii) 2000 + 0.009 + 12.23 + 300 = _____.

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Decimal Place Value – Definition, Examples, Practice Problems, FAQs

What are decimal numbers, what is decimal place value, understanding the decimal place value chart, solved examples on decimal place value, practice problems on decimal place value, frequently asked questions on decimal place value.

Decimals help express small units of money and to measure mass, length , and capacity in higher units.

75 dollars 25 cents can be expressed using decimal numbers like $\$$75.25.

A decimal number consists of a whole number and a fractional part, separated by a decimal point . The decimal point is the dot that appears between the full number and the fractions .

For example, 25.5 is a decimal number.

Here, 25 is the whole number, and 5 is the fraction. “.” is the decimal point. 

For whole numbers, we know how to place the digits in the place value chart. In this article, we will explore the place and the value of places after the decimal point.

Decimal place value chart

Related Games

Add 3-Digit and 1-Digit Number Using Place Value Game

Depending upon the position of a digit in a number, it has a value called its place value. 

The value of the digits in the decimal (base ten) system is based on the number ten. 

In a place value chart, as we move from right to left, the value of each place increases by 10 times.  

The value of the tens place is ten times that of the ones place. The value of the hundreds place is ten times that of the tens place and so on.

Moving left in the place value chart

When we move from one place to the next place on the right side of a place value table, the place becomes one-tenth 110 of its previous place.

The value of the hundreds place is 110 of the thousands place. The value of tens place is 110 of hundreds place. The value of ones place is 110 of the tens place.

Moving right in the place value chart

On moving to the right of the ones place, we get a place ten times smaller than 1, that is, one-tenth or “ tenths ”, which is a fractional part. Hence, we separate it by a decimal point. So, our place value chart with decimals looks like this:

Tenths in the decimal place value chart

The place to the right of “tenths” is the “hundredths” and the place to the right of “hundredths” is the “ thousandths ”. 

Understanding decimal place value chart

Now, we have our decimal place value chart ready.This decimal chart helps us find the place value of the digits in a decimal number.

We separate the whole number part and decimal part by putting a dot (point) called a decimal point.

In a decimal number chart, the place values of all digits are represented, including those before and after the decimal point.

Related Worksheets

Add 1 Digit and 3 Digit Numbers Using Place Value

Writing Decimal Numbers in the Decimal Place Value Chart

Decimal number may contain a whole number part and a fractional part (decimal part).

In case the decimals consist of only one part that is a decimal part or the whole part, we will write zero in the whole or decimal part.

For example:

$.23 = 0.23$

$42 = 42.0$

Let’s write the following decimals in the place value table:

452.123; 1000.788; 3.409; 33.005; 710.01

Writing Decimals in the place value table

This helps us in identifying the place of each digit of the decimal number.

Now each place is associated with a value. Let’s learn about the place value of decimal numbers.

When looking at the decimal place value chart, you can see that place values before the decimal point begin with ones, then tens, hundreds, and so on, but place values following the decimal point begin with tenths, then hundredths, then thousandths, and so on.

Value of each place in the decimal place value chart

The fraction part of the number is represented by the digits following the decimal point of a decimal number.

For example, the number 0.46 is made up of 4 tenths and 6 hundredths.

Using decimal place value chart to write number in expanded form

This can also be written as $0.46 = 0.4 + 0.06$.

In other words, it means, $0.46 = 4/10 + 6/100$.

The face value of a digit in a number is the value of the digit itself, which does not depend on the place of the digit, whereas the place value is the value of that digit in that place, which changes as the place of the digit changes.

Example 1: Identify the digit at thousandths place for the given decimals.

(b) 172.231

First, write the decimal in place value chart. Then look at the digit at the thousandths place.

Identify digit at thousands pace using the place value chart

  • 0, as there is no digit at the thousandths place for the given decimal number.

$14.3 = 14.300$   

Example 2: Identify the place value of the underlined digits.

(a) 893.871

First, write the number in a place value chart.

Then, look at the place of the digit and find its place value.

Finding the place value of digits of decimal numbers

  • The digit 7 is in the hundredths place. Therefore, its place value is 7 hundredths or 0.07.
  • There are two 6s in the given decimal, but the underlined 6 is in the ones place. Therefore, its place value is 6 ones or 6.
  • The digit 5 is in the thousandths place. Therefore, its place value is 5 thousandths or 0.005.

Example 3:  In 1.5327, which digit is in the hundredths place?

The hundredths place represents the position of the second digit after the decimal point.

In 1.5327, the second digit after the decimal point is 3. 

Example 3: What is the sum of the digit at the tenths and hundredths place in the number 354.168?

Digit at the tenths place $= 1$

Digit at the hundredths place $= 6$

Sum of digits $= 1 + 6 = 7$

In 1.5327, the second digit after the decimal point is 3.

Decimal Place Value – Definition With Examples

Attend this quiz & Test your knowledge.

Which of the following decimals can be written as a whole number?

4 thousandths can be written as__________., in which of these numbers does 9 represent a value of 0.009, what is the place value of 5 in the decimal number 32.56, in the number 124.082, what is the decimal place value of the number 8, in 624.185, which digit is at the tenths place.

How is a decimal place value chart useful for students?

A decimal place value chart is useful in finding the place values of decimal digits and is also used for comparison and ordering of decimals.

What place comes to the right of the thousandths place?

The ten-thousandths place comes to the right of the thousandths place.

Can the place value and face value be the same for any digit?

The place value and face value are different for the digits of a number, except for the digits at the ones place.

For example, in 23.15, the face value of 2 is 2 but the place value for 2 is 20.

but, the face value and place value of 3, which is in the ones place is the same: 3.

Can we write very large numbers using decimals?

Yes, we can write large numbers using decimals.

For example, $\$$4,450,000 as $\$$4.45 millions.

The approximate distance of the Sun from Earth is 91,300,000 miles or 91.3 million miles.

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Decimal Place Value

Here we will learn about decimal place values, including what place value means for decimal numbers and how to use it.

There are also decimal place value worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.

What is decimal place value?

Decimal place value extends our understanding of place value to decimal numbers. Decimal places are the digits to the right of the decimal point.

The place value of a number helps us to understand the value of each digit in the number. To determine the value of each digit in a number we can use a place value chart or place value grid.

place value image 1

For example, let’s place the number 5.793 into the place value chart.

The digit 5 goes in the ones column.

The digit 7 goes in the tenths column.

The digit 9 goes in the hundredths column.

The digit 3 goes in the thousandths column.

Decimal place value image 2

This means that the number 5.793 is equivalent to 5 ones, 7 tenths, 9 hundredths and 3 thousandths.

What is decimal place value?

  • Zero place holder

Sometimes we need to use zero as a placeholder in decimal numbers.

For example, the number 0.05 has zeros in the ones column and the tenths column. To indicate there are no ones and no tenths.

Decimal place value image 3

  • Decimal fractions

Decimal fractions are fractions where the denominator is 10, \ 100, \ 1000 or another power of 10.

For example,

Decimal fractions can also be used to write the value of the digits in a decimal number. This means that in the number 5.793 the digit 9 is worth 9 hundredths or 0.09 or \frac{9}{100}.

  • Very small numbers

Decimal place values can be extended beyond tenths, hundredths and thousandths.

The decimal place value chart could be extended so there are more columns to the right. Powers of ten can be used to help write very small numbers.

Decimal place value image 4

  • Ordering decimals

Decimal place value can help with ordering decimals.

Place these decimals in size order from smallest to largest.

Let’s take each decimal and compare the place value of the digits.

The digit 9 in 0.0009 represents 9 ten-thousandths. This is the smallest value.

The digit 7 in 0.007 represents 7 thousandths. This is the next biggest value.

The digit 6 in 0.06 represents 6 hundreths. This is the next biggest value.

The digit 1 in 0.1 represents 1 tenth. This is the biggest value.

The decimals in order of size from smallest to largest will be:

How to write the value of a digit in a decimal number

In order to write the value of a digit in a decimal number:

Locate the digit within the number.

Recall the place value of that column.

Write the value of the digit.

Explain how to write the value of a digit in a decimal number

Explain how to write the value of a digit in a decimal number

Decimal place value worksheet

Get your free decimal place value worksheet of 20+ questions and answers. Includes reasoning and applied questions.

Related lessons on decimals

Decimal place value  is part of our series of lessons to support revision on  decimals . You may find it helpful to start with the main decimals lesson for a summary of what to expect, or use the step by step guides below for further detail on individual topics. Other lessons in this series include:

  • Decimal number line
  • Multiplying and dividing decimals
  • Multiplying decimals
  • Dividing decimals
  • Adding and subtracting decimals
  • Adding decimals
  • Subtracting decimals

Decimal place value examples

Example 1: tenths.

Write the value of 3 in the number 4.392.

Decimal place value example 1

2 Recall the place value of that column.

The 3 is in the tenths place.

3 Write the value of the digit.

The digit and the place value of the digit combine to give the value of the digit.

The value of the digit 3 in the number 4.392 is 3 tenths or 0.3 or as a decimal fraction \frac{3}{10}.

Example 2: tenths

Write the value of 7 in the number 5.708.

Decimal place value example 2

The 7 is in the tenths column.

Note: The 0 in the hundredths column is a placeholder.

The value of the digit 7 in the number 5.708 is 7 tenths or 0.7 or as a decimal fraction \frac{7}{10}.

Example 3: hundredths

Write the value of 8 in the number 6.489.

Decimal place value example 3

The 8 is in the hundredths column.

The value of the digit 8 in the number 6.489 is 8 hundredths or 0.08 or as a decimal fraction \frac{8}{100}.

Example 4: hundredths

Write the value of 2 in the number 30.1289.

Decimal place value example 4

The 2 is in the hundredths place.

Note: The 0 in the ones column is a placeholder.

The value of the digit 2 in the number 30.1289 is 2 hundredths or 0.02 or as a decimal fraction \frac{2}{100}.

Example 5: thousandths

Write the value of 1 in the number 35.941.

Decimal place value example 5

The 1 is in the thousandths column.

The value of the digit 1 in the number 35.941 is 1 thousandths or 0.001 or as a decimal fraction \frac{1}{1000}.

Example 6: thousandths

Write the value of 9 in the number 835.219.

Decimal place value example 6

The 9 is in the thousandths place.

The value of the digit 9 in the number 835.219 is 9 thousandths or 0.009 or as a decimal fraction \frac{9}{1000}.

Common misconceptions

  • Thousands or thousandths

Numbers to the right of the decimal point are parts of a whole and so they each end with ‘ths’. Numbers to the left of the decimal point do not end in ‘ths’ as they are whole numbers.

Practice decimal place value questions

1. Write the value of 1 in the number 7.129.

GCSE Quiz False

The digit 1 is in the tenths column.

The value of the 1 is 1 tenth or 0.1 or \frac{1}{10}.

2. Write the value of 3 in the number 54.391.

3 hundreths

The digit 3 is in the tenths column.

The value of the 3 is 3 tenths or 0.3 or \frac{3}{10}.

3. Write the value of 4 in the number 9.048.

The digit 4 is in the hundredths column.

The value of the 4 is 4 hundredths or 0.04 or \frac{4}{100}.

4. Write the value of 9 in the number 17.295.

9 thousandths

The digit 9 is in the hundredths column.

The value of the 9 is 9 hundredths or 0.09 or \frac{9}{100}.

5. Write the value of 2 in the number 197.8126.

2 ten thousandths

2 thousandths

The digit 2 is in the thousandths column.

The value of the 2 is 2 thousandths or 0.02 or \frac{2}{1000}.

6. Write the value of 6 in the number 438.1068.

6 hundreths

The digit 6 is in the thousandths column.

The value of the 6 is 6 thousandths or 0.06 or \frac{6}{1000}.

Decimal place value GCSE questions

1. Use the number 56.973 to answer the following questions.

(a) What is the digit in the tens place?

(b) Write down the value of the digit 7.

(b) 7 hundredths or 0.07 or \frac{7}{100}

2. (a) Write down the value of 3 in the number 2.319.

(b) Write down the value of 7 in the number 58.107.

(a) 3 tenths or 0.3 or \frac{3}{10}

(b) 7 thousandths or 0.007 or \frac{7}{1000}

3. (a) Calculate 0.328 \div 10.

(b) Write down the value of 3 in the answer to part (a).

(b) 3 hundredths or 0.03 or \frac{3}{100}

4. (a) Ben says,

“the value of the digit 9 in 8.459 is 9000”.

Is Ben correct? Explain your answer.

(b) Callum says,

“0.009 is bigger than 0.08 because 9 is bigger than 8”.

Is Callum correct? Explain your answer.

Correct explanation involving thousandths

For example, Ben has said that the 9 is in the thousands column when he meant to say the thousandths column or 0.009.

Correct explanation using the value of the digits 9 and 8.

For example, the 9 in 0.009 is worth \frac{9}{1000} or 9 thousandths.

The 8 in 0.08 is worth \frac{8}{100} or 8 hundreths.

So, 0.009 is actually smaller in value than 0.08.

5. In 2009 the world record for the 100 \ m sprint was 9.69 seconds.

Usain Bolt broke the world record for 100 \ m sprint.

Usain Bolt took 11 hundreths of a second off the previous world record.

Work out the time Usain Bolt ran, setting the new world record for the 100 \ m sprint.

Subtracting 11 hundredths from 9.69.

9.58 seconds

Learning checklist

You have now learned how to:

  • Understand and use place value for decimals

The next lessons are

  • Percentages
  • Comparing fractions, decimals and percentages

Still stuck?

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  1. Decimal Place Value Worksheets

    Practice this series of MCQs to gauge the ability of young learners in solving problems on place value. Apply your logical skills and choose the correct answer from the list of options. Identify the decimal that contains the digit with the specified place value.

  2. Decimal place value

    Quiz Unit test About this unit Put on your math detective hat and dive into this unit on decimal place value. You'll learn how to locate decimals on a number line, see which ones are bigger or smaller, and round them to the nearest whole number. Decimal place value intro Learn Place value with decimals Decimal place value review Practice

  3. Place Value Worksheets

    Decimal Place Value Worksheets Welcome to the Place Value worksheets page at Math-Drills.com! This page includes Place value worksheets for whole numbers and decimals including place value charts. Students who have a good understanding of place value will certainly excel at math.

  4. Decimal place value review (article)

    Problem 1 The digit 9 in which number represents a value of 0.009 ? Choose 1 answer: 2.0 9 5 A 2.0 9 5 8 9, 653 B 8 9, 653 0.72 9 C 0.72 9

  5. Decimals and place value

    Quiz Unit test About this unit In this topic, we will learn what a decimal is and how to show it visually and on a number line. We will also add, subtract, multiply, and divide with decimals. Decimal fractions Learn

  6. Place Value Practice Questions

    Place Value Practice Questions Click here for Questions . Click here for Answers . Practice Questions Previous: Using Calculations Practice Questions The Corbettmaths Practice Questions on Place Value

  7. PLACE VALUE FOR DECIMAL

    1. 0.7 is read as Seven tenths. 2. 2.68 is read as Two and sixty eight hundredths. 3. 55.937 is read as Fifty five and nine hundred thirty seven thousandths. 4. 623.1472 is read as Six hundred twenty three and one thousand four hundres seventy two ten thousandths. Download all these free worksheets to learn decimal place value system and to ...

  8. What is Decimal Place Value?

    Click on the boxes below to see the answers! Answer: 5 34/100. Since the number 5.34 ends in the hundredths decimal place, the number after the decimal point can be written over 100 in fraction form. Answer: 8.72. To round to the second decimal place, look at the number that comes after it in the thousandths place, 3.

  9. Decimal Place Value Worksheets

    Digit Values (Tenths) In the first part of this worksheet, students will write the value of the underlined digit. In the second half, they will answer several questions regarding the values of digits in a given number. Numbers go up to the tenths place. View PDF.

  10. Decimal Place Value

    Worksheets Knowledge Base Decimal Place Value - Definition, Examples, Practice Problems Decimal Place Value - Definition, Examples, Practice Problems Jessica Kaminski January 7, 2024 January 10, 2024 Brighterly, we believe that understanding decimals and their place value is a crucial skill for children learning mathematics.

  11. Decimal Places

    0.200 0.200 can be read as two-hundred thousandths These values are all equivalent. You can use place value to round a number to given decimal places such as tenths, hundredths, and thousandths. To round a decimal, you find the decimal place you wish to round to and look at the value after that number.

  12. Free Printable Decimal Place Value worksheets

    Decimal Place Value worksheets are an essential tool for teachers who aim to enhance their students' understanding of Math and Decimals. These worksheets provide a structured and engaging way for students to practice and master the concept of decimal place values. With a variety of exercises, ranging from simple identification of place values ...

  13. Decimal Place Value

    to to As the places become smaller, each is \cfrac {1} {10} 101 the size of the place to its left. As the places become larger, each is 10 10 times the size of the place to its right. These are the same patterns you see with whole numbers. What is decimal place value? Common Core State Standards

  14. Place value and decimals

    Quiz Unit test Decimal place value intro Learn Place value with decimals Decimal place value review Practice Up next for you: Place value names Get 5 of 7 questions to level up! Start Not started Value of a digit Get 5 of 7 questions to level up! Practice Not started Decimals on the number line Learn Thousandths on the number line

  15. Decimal Places

    Place value; Rounding decimals; Significant figures; Practice decimal places questions. 1. Round 5.162 to one decimal place. 5.1 . 5.2 . 6.2 . 5.0 . The first decimal place is 1 . The value to the right of this is 6 , which is greater than 5, so round up. The answer is 5.2 . 2.

  16. Math Practice Problems

    1. one hundred six and seventeen thousand six hundred fifty-nine hundred thousandths 2. sixty-six and thirty-three thousand two hundred forty-nine hundred thousandths Complexity=2000 Give each number in standard form. Example: 2000 + 100 + 50 + 3 = 2,153 1. eighty-nine and one hundred ten thousand three hundred

  17. Place value and decimal place value Test questions

    Test questions. Place value is the value of each digit in a number, for example ones, tens or hundreds. Decimal place values include tenths, hundredths and thousandths. The value of a digit goes ...

  18. Place Value Worksheets

    a) The value of the 5? b) The value of the 2? [2 marks] a) The 5 is the first digit after the decimal place, meaning it is in the tenths column. So, it is worth \dfrac{5}{10} or 0.5. b) The 2 is the 4 th digit after the decimal place, meaning it is in the ten thousandths column. So, it is worth

  19. Place value names (practice)

    Lesson 1: Decimal place value intro Place value with decimals Place value names Value of a digit Decimal place value review Math > 5th grade > Decimal place value > Decimal place value intro Place value names Google Classroom What is the place value of the 4 in 12. 4 7 ? Choose 1 answer: Ones A Ones Tenths B Tenths Hundredths C Hundredths Tens D

  20. Place Value Questions

    Solution: Question 2: Find the place value of 2 and 7 for the following numbers: (i) 29975 (ii) 8627 (iii) 28467 (iv)720000 Solution: Questions 3: Fill in the blanks: (i) 20600 + ____ + 30 + 5 = 28635. (ii) _____ + ____ + 86 = 4586. (iii) 4000 + 3 + 400 + ____ = 4443. (iv) 34589 = _____ + _____ + ____ + ______ +_____. Solution:

  21. What is Decimal Place Value? Definition, Chart, Examples, Facts

    Depending upon the position of a digit in a number, it has a value called its place value. The value of the digits in the decimal (base ten) system is based on the number ten. In a place value chart, as we move from right to left, the value of each place increases by 10 times. The value of the tens place is ten times that of the ones place.

  22. Decimal Place Value

    Decimal place value can help with ordering decimals. For example, Place these decimals in size order from smallest to largest. 0.06 \hspace {1cm} 0.1 \hspace {1cm} 0.007 \hspace {1cm} 0.0009 0.06 0.1 0.007 0.0009. Let's take each decimal and compare the place value of the digits. The digit 9 9 in 0.0009 0.0009 represents 9 9 ten-thousandths.

  23. Round decimals (practice)

    Lesson 7: Rounding decimals. Rounding decimals on the number line. Round decimals using a number line. Worked example: Rounding decimals to nearest tenth. Round decimals. Understand decimal rounding. Rounding decimals word problems. Round decimals word problems. Decimal place value: FAQ.