Subtract Rational Numbers and Understand The Absolute Value of Their Difference: CCSS.Math.Content.7.NS.A.1c - Common Core: 7th Grade Math

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Question

Solve:

Answer

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

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Question

Solve:

Answer

When subtracting with a negative sign, it turns into addition. Now we have . The answer is .

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Question

Answer

When we subtract a negative number, the sign turns positive. It becomes an addition problem. .

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Question

Solve:

Answer

Remember that subtracting a negative number is just like adding the positive of that number, because you move to the right (more positive) on the number line. Therefore

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Question

Subtract:

Answer

Distribute the negative sign through the parentheses. Double negatives equal a positive.

The answer is .

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Question

Answer

When minus signs meet, the sign becomes positive. This becomes an addition problem. Answer is .

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Question

Answer

When two minus signs meet, the sign becomes positive. Since is greater than and is negative, our answer is negative. We treat as a subtraction problem. Answer is .

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Question

Answer

Two minus signs become a plus sign. It's now an addition problem.

Add the ones digits together:

Add the tens digits together:

Combine the ones and tens digit to get final answer.

Answer is .

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Question

Answer

Two minus signs become a plus sign. It's now an addition problem. Since is greater than and is negative, our answer is negative.

We treat as a normal subtraction.

Answer is

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Question

Solve:

Answer

Two minus signs becomes a plus sign. Since is greater than and is positive, our answer is positive. We treat as a normal subtraction. Answer is .

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Question

Solve:

Answer

Two minus signs become a plus sign. This is just simple addition. Answer is .

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Question

Answer

Two negative signs become a plus sign. This is now an addition problem.

Answer is

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Question

Answer

Two negative signs become a plus sign. Since is greater than and is positive, our answer is positive. We treat as a normal subtraction.

Answer is

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Question

Answer

Two minus signs become a plus sign. Since is greater than and is negative, our answer is negative. We treat as a normal subtraction.

Answer is .

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Question

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

Negative number line

Answer

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,

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Question

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

Negative number line

Answer

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,

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Question

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

Negative number line

Answer

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,

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Question

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

Negative number line

Answer

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.

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

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Question

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

Negative number line

Answer

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,

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Question

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

Negative number line

Answer

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 9

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

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