The Number System - 7th Grade Math

Let's work from left to right since it's only subtraction and addition. Since is greater than and it's positive our answer is positive, but we treat this like a subtraction problem because the is negative. . Now we have . is greater than and it's negative so our answer is negative and we treat this like a subtraction problem. , but since our answer should be negative our answer is .

Break up the parentheses. Double negatives result in a positive sign, and positive with a negative sign will result in a negative sign.

Next, simplify by adding and subtracting each component from left to right.

Solve by first combining signs and eliminate the parentheses.

A positive multiplied with a negative sign will give a negative sign.

Eliminate the double negatives first.

Double negatives will result in a positive sign.

Simplify the terms.

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

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.

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

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

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.

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

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

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.

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

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

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.

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

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

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.

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

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

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.

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 .

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

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.

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

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

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.

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

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

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.

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

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

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.

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

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

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.

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

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

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.

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

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

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.

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 .

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

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.

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

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

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.

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