7th grade math worksheets negative numbers

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Negative Numbers Worksheet Hub Page

Welcome to our Negative Numbers Worksheets hub page.

On this page, you will find links to all of our worksheets and resources about negative numbers.

Need help practicing adding, subtracting, multiplying or dividing negative numbers?

You've come to the right place!

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Negative Numbers Worksheet

We have a wide range of negative number resources to help you understand and use negative numbers.

Here are the following resources we currently have on our site:

• What are Negative Numbers

Negative Number Lines

• Comparing Negative Numbers

Adding Negative Numbers

Subtracting negative numbers.

• Mutiplying Negative Numbers

Dividing Negative Numbers

• Negative Number Games
• Absolute Value Worksheets

What are Negative Numbers?

Negative numbers are numbers with a value of less than zero.

They can be fractions, decimals, rational and irrational numbers.

-13, -½ , -√2, -6.4 and -123 are all negative numbers.

We have a page dedicated to learning about negative numbers below.

We have a selection of number lines, both filled and blank that have been designed to support learning and understanding with negative numbers.

One of our pages contains just negative number lines, the other page contains both positive and negative numbers.

• Number Lines with Negative and Positive Numbers
• Number Line Negative Numbers only

Back to Top

Comparing negative numbers

How to compare negative numbers

When you are comparing with negative numbers, everything swaps around and becomes a little more complicated!

With negative numbers, the more negative the number is, the lower its value.

As you go right along the number line, the values are increasing.

As you go left along the number line, the values are decreasing.

This means that any positive number (or even zero) will always be greater than any negative number.

• 0 > -3 this means 0 is greater than -3
• -8 < -5 this means -8 is less than -5
• -27 > -30 this means -27 is greater than -30
• -26 < 2 this means -26 is less than 2
• Ordering Negative Numbers -10 to 10

Randomly Generated Negative Number Worksheets

Our random worksheet generator will create a range of worksheets with values of your choice.

You can create your own unique worksheets complete with answers in seconds!

You can then choose to print or save your sheets for another time.

• Adding Positive and Negative Numbers (randomly generated)
• Subtracting Positive and Negative Numbers (randomly generated)

Adding & Subtracting Negative Numbers

• Adding and Subtracting Negative Numbers (randomly generated)

Multiplying Negative Numbers

• Negative Number Multiplication (randomly generated)
• Dividing Negative Numbers (randomly generated)

Multiplying & Dividing Negative Numbers

• Multiply and Divide Negative Numbers (randomly generated)
• Negative Numbers Games

Take a look at our collection of negative numbers games.

We have a range of games of varying levels of difficulty.

Our games include:

• counting backwards along a number line (easiest)
• comparing and sequencing negative numbers
• subtracting with negative answers
• using all 4 operations to get a negative target number (hardest)

We have a selection of worksheets designed to help students learn about asbolute value.

Topics covered include:

• absolute value and opposite numbers
• comparing absolute values
• absolute value arithmetic
• solving absolute value equations

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Negative Numbers Worksheets

In mathematics, a negative number is a real number that is less than zero. Negative numbers represent opposites of positive numbers. The laws of arithmetic for negative numbers ensure that the common-sense idea of an opposite is reflected in arithmetic. For example, −(−8) = 8 because the opposite of an opposite is the original value.

We use negative numbers in our daily life .

Deposits are normally represented by a positive sign whereas withdrawals are denoted by a negative sign. Negative numbers are used in weather forecasting to show the temperature of a region. Negative integers are used to show the temperature on Fahrenheit and Celsius scales.

Download Negative Numbers Worksheet PDFs

These math worksheets should be practiced regularly and are free to download in PDF formats.

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7th Grade Negative Numbers

7th Grade Negative Numbers - Displaying top 8 worksheets found for this concept.

Some of the worksheets for this concept are Word problems with integers, Unit 4 integers, 501 math word problems, 6 add the two negative, Grade 7 math proportional reasoning, Multiplyingdividing fractions and mixed numbers, Algebraic expressions packet, Exercise work.

Found worksheet you are looking for? To download/print, click on pop-out icon or print icon to worksheet to print or download. Worksheet will open in a new window. You can & download or print using the browser document reader options.

1. 7. Word PROBLEMS WITH INTEGERS

2. unit 4: integers, 3. 501 math word problems, 4. 6, add the two negative numbers., 5. grade 7 math: proportional reasoning, 6. multiplying+dividing fractions and mixed numbers, 7. algebraic expressions packet, 8. exercise worksheets.

Negative Number Worksheets

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Printable Math Worksheets

Seventh Grade Math Worksheets

You may freely use any of the seventh grade worksheets below in your classroom or at home. Just click on the math worksheet title and click on the download link under the worksheet image. Feel free to duplicate as necessary.

Absolute Value Addition – One Digit Numbers

This is a great beginning worksheet for working with absolute values.

Absolute Value Addition – Two Digit Numbers

We’re absolutely certain you will find this absolute value worksheet valuable!

Absolute Value Addition – Working With Variables

The equations are a little more complicated in this absolute value addition worksheet.

Absolute Value Equations – Addition

In this absolute value worksheet, your student will add equations with variables.

Absolute Value Equations – Subtraction

This absolute value worksheet has subtraction equations with variables.

Absolute Value Subtraction – One and Two Digit Numbers

Absolute value subtraction – working with variables.

It’s time for some more challenging equations for subtracting with absolute values!

Adding and Subtracting With Absolute Value

Take your student to the next level with this absolute value worksheet featuring addition and subtraction.

Adding Positive and Negative Integers

You’ll find some great integer addition practice in this worksheet!

Addition and Absolute Value

This worksheet features slightly more complex addition equations using absolute values.

Dividing with Negative Integers

Your student will dive into dividing integers in ths worksheet.

Integer Addition With a Number Line

This positive and negative integer addition worksheet includes a number line drill.

Integer Subtraction With a Number Line

We’re pleased to present this practice for positive and negative integer subtraction!

Multiplying with Negative Integers

Who’s ready for some practice mutliplying integers!

Positive and Negative Integers Division

This division drill for positive and negative integers is divine!

Positive and Negative Integers Multiplication

This worksheet is a must-have for multiplying positive and negative integers!

Positive and Negative Integers Multiplying Three Numbers

Take your student to the next step with this worksheet on multiplying three integers.

Subtracting Positive and Negative Integers

We’re positive you’ll like this subtraction worksheet for integers!

Subtraction and Absolute Value

Your student will get some practice subtracting with absolute values in this worksheet.

Watch the Sign! Adding Positive and Subtracting Integers

It’s time to watch the signs in this worksheet on adding and subtracting negative and positive integers.

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Review articles, unit 1: proportional relationships, unit 2: rates and percentages, unit 3: integers: addition and subtraction, unit 4: rational numbers: addition and subtraction, unit 5: negative numbers: multiplication and division, unit 6: expressions, equations, & inequalities, unit 7: statistics and probability, unit 8: scale copies, unit 9: geometry.

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Seventh Grade (Grade 7) Positive and Negative Numbers Questions

You can create printable tests and worksheets from these Grade 7 Positive and Negative Numbers questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

• It depends on the numbers
• Not enough information to tell
• the sign that comes first.
• the sign of the number with the largest absolute value.
• It will have the sign of the biggest number
• None of the above
• the sign that is there.
• the changed sign.
• not enough information to tell
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Negative Numbers

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Positive and Negative Numbers

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Negative numbers

Here is everything you need to know about negative numbers, including how to add, subtract, multiply, and divide negative numbers and how to order negative numbers.

Students will first learn about negative numbers as a part of the number system in 6 th grade.

What are negative numbers?

Negative numbers are any numbers less than zero. They have a negative or minus sign (-) in front of them.

Numbers greater than zero are referred to as positive numbers. If there is no sign in front of a number, the number is positive.

On the number line below, you can see some positive and negative integers (whole numbers):

The numbers in orange are negative values and the blue numbers are positive values . Zero is neither positive nor negative.

Just like you can add, subtract, multiply and divide positive numbers, you can do the same with negative numbers whether they are integers, decimals or fractions.

Adding and subtracting negative numbers

When adding and subtracting negative numbers, use a number line.

If you are adding, move to the right of the number line, or the positive direction.

If you are subtracting, move to the left of the number line, or the negative direction.

Sometimes a question might have two operations next to each other.

For example, 4+(-2).

If the signs are the same, replace them with a positive sign.

If the signs are different, replace them with a negative sign.

The chart below summarizes this:

As a rule of thumb: Same signs add, different signs subtract.

For example,

Solve: -4+13.

Solve 4+-7.

There are two different signs written next to each other. These become negative.

So, 4+-7 = 4-7

Multiplying and dividing negative numbers

Similar rules apply for multiplying and dividing negative numbers.

• If the signs are the same, the answer is positive.
• If the signs are different, the answer is negative.

When multiplying negative numbers:

The same rules apply for dividing negative numbers:

Solve: -4 \times-3.

Both numbers have the same sign, so the answer will be positive.

Solve: 12 \div-2.

The numbers have different signs, so the answer will be negative.

12 \div-2=-6

Ordering integers

Integers (whole numbers) are ordered on a number line based on positive integers and negative integers. The center of the number line is marked as 0.

The integers that are greater than 0 are positive integers. The integers that are less than 0 are negative integers.

The more an integer is negative , the smaller the value is. The more an integer is positive , the bigger the value is.

Put these numbers in ascending order.

Remember: ascending means smallest to biggest.

-5 is the most negative number, so this is the smallest value.

4 is the most positive number, so this is the biggest value.

So, putting them in ascending order you get, -5, \; -3, \; -2, \; 0, \; 1, \; 2, \; 3, \; 4

Put these numbers in descending order.

Remember, descending means biggest to smallest.

-1 is the least negative number, so this is the biggest value.

-12 is the most negative number, so this is the smallest value.

So, putting them in descending order you get, -1, \; -3, \; -4, \; -6, \; -8, \; -12

Common Core State Standards

How does this relate to 6 th grade math?

• Grade 6: The Number System (6.NS.C.5) Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.
• Grade 6: The Number System (6.NS.C.6) Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.
• Grade 6: The Number System (6.NS.C.7) Understand the ordering and absolute value of rational numbers.

[FREE] Multiplication and Division Worksheet (Grade 4, 5 and 7)

Use this quiz to check your grade 4, 5 and 7 students’ understanding of multiplication and division. 15+ questions with answers covering a range of 4th, 5th and 7th grade multiplication and division topics to identify areas of strength and support!

How to add and subtract negative numbers

In order to add and subtract negative numbers:

If you have two signs next to each other, change them to a single sign.

Circle the first number on the number line.

Use the number line to add or subtract your numbers.

Write your final answer.

Negative numbers examples

Example 1: adding a positive number.

Solve: -5+8.

• If the signs are the same in the middle of the calculation, replace them with a positive sign (+).
• If the signs are different, replace them with a negative sign (-).

In this case you do not have two signs next to each other.

2 Circle the first number on the number line.

The first number in the question is (-5).

3 Use the number line to add or subtract your numbers.

• If you are adding, move to the right of the number in step 2 \; (\rightarrow).
• If you are subtracting, move to the left of the number in step 2 \; (\leftarrow).

In this case you are adding the 8 so move 8 spaces right from the (-5) on the number line:

4 Write your final answer.

Example 2: subtracting a negative number (two operations)

Solve: -7-(-5).

• If the signs are the same in the middle of the calculation, replace with a positive sign (+).
• If the signs are different, replace with a negative sign (-).

In this case you have a minus and a minus next to each other. Since the signs are the same, replace with a plus sign (+).

The first number in the question is (-7).

In this case you are adding 5 so move 5 spaces right from the (-7) on the number line:

How to multiply and divide negative numbers

In order to multiply and divide negative numbers:

Multiply or divide the numbers normally.

Change the sign using the rules of multiplying and dividing negative numbers.

Example 3: multiplying negative numbers

Solve: -6 \times (-7).

• If the signs are the same at the beginning of each number, the answer is positive.

-6 \times -7

In this case we have a negative number times a negative number.

The signs are the same so we must have a positive answer.

-6 \times(-7)=42

Example 4: dividing negative numbers

Solve: -25 \div 5.

In this case we have a negative number divided by a positive number.

The signs are different so we must have a negative quotient.

-25 \div 5=-5

Example 5: real life word problem

The table below shows the temperatures recorded in Chicago at different times of the day.

a) What is the product of the highest and lowest temperatures?

b) What is the difference between the temperatures at 2 am and 1 pm?

Part \textbf{a)} What is the product of the highest and lowest temperatures?

The highest temperature is 3^{\circ} \mathrm{F}.

The lowest temperature is -8^{\circ} \mathrm{F}.

3 \times -8

In this case, you have a positive number times a negative number.

The signs are different so it must have a negative answer.

3 \times-12=-24^{\circ}\mathrm{F}

\textbf{b)} What is the difference between the temperatures at \bf{1} pm and \bf{2} am?

The temperature at 2 am was -8^{\circ}\mathrm{F} and the temperature at 1 pm was 3^{\circ}\mathrm{F}.

To find the difference we must work out -8 - 3.

• If the signs are the same, replace them with a positive sign (+).

The first number in the question is (-8)

In this case, you are subtracting the 3 , so move 3 spaces right from the (-8) on the number line:

Write your final answer .

How to order negative numbers

In order to order negative numbers:

Plot the given numbers on a number line.

List the numbers in ascending or descending order.

Example 6: ascending order

The question asked for the numbers to be placed in ascending order, or from least to greatest.

Looking at the number line, the smallest number is –8. You can then list the rest of the numbers based on their location on the number line, moving from left to right.

The numbers listed in ascending order are:

–8, \; –4, \; –2, \; 0, \; 1, \; 3, \; 5

Example 7: descending order

The question asked for the numbers to be placed in descending order, or from greatest to least.

Looking at the number line, the largest number is 5. You can then list the rest of the numbers based on their location on the number line, moving right to left.

The numbers listed in descending order are:

5, \; 3, \; 1, \; –3, \; –5, \; –7.

Teaching tips for negative numbers

• Use real-world examples when discussing negative numbers. Use a bank account as an example and explain when you spend money, the amount of money spent is usually shown as a negative, and the amount in your account decreases.
• Teach students about opposites, explaining that every negative number has a corresponding positive number with the same magnitude.
• Present students with common misconceptions about negative numbers and have students work through why the example presented is incorrect.

Easy mistakes to make

• Thinking a greater negative means a larger number Students sometimes assume that the larger a negative number the greater it is. For example, students might incorrectly assume -3 is greater than 2 because 3 is a larger number.
• Raising a negative number to a power greater than one Remember, when raising a negative number to a power greater than 1 , the resulting answer could be positive or negative. When you raise a negative number to an odd exponent, the resulting answer is negative; when you raise a negative number to an even exponent, the resulting answer is positive.
• Confusing when to change the signs When adding or subtracting with negative numbers, the signs change only if they are next to each other in the middle of the calculation and are different.

Related multiplication and division lessons

• Multiplication
• Multiplicative comparison
• Multiplying multi digit numbers
• Dividing multi digit numbers
• Long division
• Negative times negative
• Multiplying and dividing integers
• Multiplying and dividing rational numbers

Practice negative numbers questions

1. Solve: -8+10.

Find the first number (–8) on the number line and move to the right the number of places as the second number (10).

2. Solve: -11-(-8).

There are two negative signs (-) together, so change it to a positive (+).

3. Solve: -8 \times (-9).

The signs are the same so the answer is positive.

4. Solve: -144 \div 3.

The signs are different so the answer will be negative.

5. The table shows the temperature in Buffalo, NY at different times of the day in degrees Fahrenheit.

What is the difference between the highest and lowest temperatures?

The calculation you need to solve here is 9-\,-8.  There are two negative signs (-) together so this becomes a positive (+).

6. Place the following numbers in ascending order:

Plot the numbers on a number line.

Ascending order means from least to greatest, so find the smallest number (left side of the number line) and list numbers moving from left to right on the number line.

Negative numbers FAQs

Negative numbers are not natural numbers. Natural numbers are all positive integers from 1 to infinity, often referred to as counting numbers.

When you compare negative numbers, you compare the magnitude of each number. The farther left a number is on the number line, the smaller it is.

Negative numbers can be rational or irrational depending on whether it is expressed as fractions or not. For example, –3 is rational because it can be expressed as \cfrac{-3}{1}, while the square root of –2 is irrational.

The next lessons are

• Types of numbers
• Rounding numbers
• Factors and multiples
• Inequalities

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Worksheets On Negative Numbers

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