The Number System

Help Questions

7th Grade Math › The Number System

Questions 1 - 10
1

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

Negative number line

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 8

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

2

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

Negative number line

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,

3

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

Negative number line

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,

4

is equal to which of the following?

Explanation

This is a straightforward problem. Remember that when adding a negative number, you are actually subtracting:

Be sure to remember that the first number is also negative, meaning we are subtracting a number from a negative number:

The answer is -6.25.

5

For the equation provided, what value when substituted for , will equal

Explanation

In order to answer this question, we can solve for . When solving for we need to isolate the variable on one side of the equation.

We can subtract to both sides in order to isolate the variable, .

6

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

Negative number line

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,

7

Explanation

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

is the answer.

8

is equal to which of the following?

Explanation

This is a straightforward problem. Remember that when adding a negative number, you are actually subtracting:

Be sure to remember that the first number is also negative, meaning we are subtracting a number from a negative number:

The answer is -6.25.

9

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

Negative number line

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,

10

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

Negative number line

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,

Page 1 of 69
Return to subject