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Common Core: 7th Grade Math : The Number System

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

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All Common Core: 7th Grade Math Resources

7 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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

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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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Example Question #21 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Solve the following:

$-10\times-9$

Possible Answers:

Correct answer:

Explanation:

We know the following information:

$10\times9=90$

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 to help us answer this question:

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,

$-10\times-9=90$

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Example Question #1 : Multiply Rational Numbers

Solve:

$-1\times3$

Possible Answers:

Correct answer:

Explanation:

We know the following information:

$1\times3=3$

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,

$-1\times3=-3$

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Example Question #2 : Multiply Rational Numbers

Solve:

$-3\times10$

Possible Answers:

Correct answer:

Explanation:

We know the following information:

$3\times10=30$

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,

$-3\times10=-30$

Report an Error

Example Question #3 : Multiply Rational Numbers

Solve:

$-5\times11$

Possible Answers:

Correct answer:

Explanation:

We know the following information:

$5\times11=55$

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,

$-5\times11=-55$

Report an Error

Example Question #4 : Multiply Rational Numbers

Solve:

$-11\times-9$

Possible Answers:

Correct answer:

Explanation:

We know the following information:

$11\times9=99$

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 to help us answer this question:

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,

$-11\times-9=99$

Report an Error

Example Question #1 : Multiply Rational Numbers

Solve:

$-9\times-9$

Possible Answers:

Correct answer:

Explanation:

We know the following information:

$9\times9=81$

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 to help us answer this question:

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,

$-9\times-9=81$

Report an Error

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All Common Core: 7th Grade Math Resources

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Common Core: 7th Grade Math : The Number System

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

All Common Core: 7th Grade Math Resources

Example Questions

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

Example Question #21 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Example Question #1 : Multiply Rational Numbers

Example Question #2 : Multiply Rational Numbers

Example Question #3 : Multiply Rational Numbers

Example Question #4 : Multiply Rational Numbers

Example Question #1 : Multiply Rational Numbers

All Common Core: 7th Grade Math Resources

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