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

Solve:

Possible Answers:

Correct answer:

Explanation:

When adding two negative numbers, we treat as an addition problem and add the minus sign in the end. The answer is .

Example Question #14 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Solve:

Possible Answers:

Correct answer:

Explanation:

Since  is greater than  and is negative, our answer is negative. We treat as a normal subtraction. Answer is .

Example Question #15 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Possible Answers:

Correct answer:

Explanation:

 Since  is greater than  and is positive, our answer is positive. We treat as a normal subtraction.

 is the answer. 

Example Question #16 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Possible Answers:

Correct answer:

Explanation:

 Since  is greater than  and is negative, our answer is negative. We treat as a normal subtraction.

Answer is .

Example Question #17 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Possible Answers:

Correct answer:

Explanation:

 When adding with another negative number, just treat as an addition problem and then add a negative sign in front.

Answer is  

Example Question #18 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Solve:

Possible Answers:

Correct answer:

Explanation:

When adding with negative values, the sign turns negative. So now we have . Since they have the same sign, we just treat it as an addition problem and add  and then insert the negative sign in front. The answer is 

Example Question #19 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Solve:

Possible Answers:

Correct answer:

Explanation:

When dealing with negative numbers, let's see which number is greater.  is greater than  and is positive so the answer is positive. We treat this as a subtraction problem. 

Example Question #21 : 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. 

 10

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. 

 10 9

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

Example Question #22 : 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. 

 6

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. 

 6 8

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

Example Question #51 : 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. 

 8

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 15

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

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