Common Core: 7th Grade Math : The Number System

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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Example Questions

Example Question #61 : The Number System

Use the number line provided to help solve the following problem:


Negative number line

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to start at  on the number line. 

 15

Next, we have  which means we need to move  places to the right on the number line. When we have an addition sign   we move to the right because that is towards the positive side of the number line. When we have a subtraction sign  we move to the left because that is towards the negative side of the number line. 

 15 7

The orange arrow moved  places to the right, and ended at ; thus,

Example Question #62 : The Number System

Use the number line provided to help solve the following problem:

Negative number line

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to start at  on the number line. 

 5

Next, we have  which means we need to move  places to the right on the number line. When we have an addition sign   we move to the right because that is towards the positive side of the number line. When we have a subtraction sign  we move to the left because that is towards the negative side of the number line. 

 5 5

The orange arrow moved  places to the right, and ended at ; thus,

Remember,  and  are opposite numbers. A number and its opposite always have a sum of 

Example Question #61 : The Number System

Use the number line provided to help solve the following problem:


Negative number line

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to start at  on the number line. 

 3

Next, we have  which means we need to move  places to the left on the number line. When we have an addition sign   we move to the right because that is towards the positive side of the number line. When we have a subtraction sign  we move to the left because that is towards the negative side of the number line. 

 3 4

The orange arrow moved  places to the left, and ended at ; thus,

Example Question #62 : The Number System

Use the number line provided to help solve the following problem:

Negative number line

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to start at  on the number line. 

 12

Next, we have  which means we need to move  places to the left on the number line. When we have an addition sign   we move to the right because that is towards the positive side of the number line. When we have a subtraction sign  we move to the left because that is towards the negative side of the number line. 

 12 3

The orange arrow moved  places to the left, and ended at ; thus,

Example Question #63 : The Number System

Use the number line provided to help solve the following problem:


Negative number line

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to start at  on the number line. 

 11

Next, we have  which means we need to move  places to the left on the number line. When we have an addition sign   we move to the right because that is towards the positive side of the number line. When we have a subtraction sign  we move to the left because that is towards the negative side of the number line. 

 11 2

The orange arrow moved  places to the left, and ended at ; thus,

Example Question #64 : The Number System

Use the number line provided to help solve the following problem:


Negative number line

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to start at  on the number line. 

4

Next, we have  which means we need to move  places to the left on the number line. When we have an addition sign   we move to the right because that is towards the positive side of the number line. When we have a subtraction sign  we move to the left because that is towards the negative side of the number line. 

4 10

The orange arrow moved  places to the left, and ended at ; thus,

Example Question #61 : The Number System

Use the number line provided to help solve the following problem:


Negative number line

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to start at  on the number line. 

9

Next, we have  which means we need to move  places to the left on the number line. When we have an addition sign   we move to the right because that is towards the positive side of the number line. When we have a subtraction sign  we move to the left because that is towards the negative side of the number line. 

9 12

The orange arrow moved  places to the left, and ended at ; thus,

Example Question #68 : The Number System

Use the number line provided to help solve the following problem:

Negative number line

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to start at  on the number line. 

 9

Next, we have  which means we need to move  places to the right on the number line. When we have an addition sign   we move to the right because that is towards the positive side of the number line. When we have a subtraction sign  we move to the left because that is towards the negative side of the number line. 

 9 9

The orange arrow moved  places to the right, and ended at ; thus,

Remember,  and  are opposite numbers. A number and its opposite always have a sum of 

Example Question #31 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Use the number line provided to help solve the following problem:


Negative number line

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to start at  on the number line. 

 12

Next, we have  which means we need to move  places to the right on the number line. When we have an addition sign   we move to the right because that is towards the positive side of the number line. When we have a subtraction sign  we move to the left because that is towards the negative side of the number line. 

  8

The orange arrow moved  places to the right, and ended at ; thus,

Example Question #1 : Negative Numbers

Solve:

Possible Answers:

Correct answer:

Explanation:

The problem indicates that the result is  units more negative than , which is .

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