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Common Core: 7th Grade Math : Solve Problems with the Four Operations with Rational Numbers: CCSS.Math.Content.7.NS.A.3

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

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All Common Core: 7th Grade Math Resources

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Example Questions

Example Question #311 : The Number System

Solve:

$-3\times12$

Possible Answers:

Correct answer:

Explanation:

We know the following information:

$3\times12=36$

However, the changes our answer, in this particular case. There are a couple of rules that we need to remember when multiplying with negative numbers:

A negative number multiplied by a positive number will always equal a negative number
A negative number multiplied by a negative number will always equal a positive number

Thus,

$-3\times12=-36$

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Example Question #11 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Solve:

$49\div-7$

Possible Answers:

Correct answer:

Explanation:

We know the following information:

$49\div7=7$

However, the changes our answer, in this particular case. There are a couple of rules that we need to remember when multiplying with negative numbers:

A negative number divided by a positive number will always equal a negative number, and a positive number divided by a negative number will always equal a negative number.
A negative number divided by a negative number will always equal a positive number

Thus,

$49\div-7=-7$

Report an Error

Example Question #12 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Solve:

$40\div-5$

Possible Answers:

Correct answer:

Explanation:

We know the following information:

$40\div5=8$

However, the changes our answer, in this particular case. There are a couple of rules that we need to remember when multiplying with negative numbers:

A negative number divided by a positive number will always equal a negative number, and a positive number divided by a negative number will always equal a negative number.
A negative number divided by a negative number will always equal a positive number

Thus,

$40\div-5=-8$

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Example Question #13 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Solve:

$-24\div-8$

Possible Answers:

Correct answer:

Explanation:

We know the following information:

$24\div8=3$

In this particular case, do the negative numbers change our answer? . There are a couple of rules that we need to remember when multiplying with negative numbers:

A negative number divided by a positive number will always equal a negative number, and a positive number divided by a negative number will always equal a negative number.
A negative number divided by a negative number will always equal a positive number

Thus,

$-24\div-8=3$

Report an Error

Example Question #12 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Solve:

-12+5

Possible Answers:

Correct answer:

Explanation:

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.

12 5

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

-12+5=-7

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Example Question #13 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Solve:

-6+6

Possible Answers:

Correct answer:

Explanation:

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

6 6

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

-6+6=0

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

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Example Question #16 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Solve:

-8+16

Possible Answers:

Correct answer:

Explanation:

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

Next, we have +16 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 16

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

-8+16=8

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Example Question #321 : The Number System

Solve:

-3-5

Possible Answers:

Correct answer:

Explanation:

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.

3 5

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

-3-5=-8

Report an Error

Example Question #322 : The Number System

Solve:

10-18

Possible Answers:

Correct answer:

Explanation:

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

10 18

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

10-18=-8

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Example Question #19 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Solve:

3-17

Possible Answers:

Correct answer:

Explanation:

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

3 17

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

3-17=-14

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All Common Core: 7th Grade Math Resources

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Common Core: 7th Grade Math : Solve Problems with the Four Operations with Rational Numbers: CCSS.Math.Content.7.NS.A.3

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

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #311 : The Number System

Example Question #11 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Example Question #12 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Example Question #13 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Example Question #12 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Example Question #13 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Example Question #16 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Example Question #321 : The Number System

Example Question #322 : The Number System

Example Question #19 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

All Common Core: 7th Grade Math Resources

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