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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 #6 : Multiply Rational Numbers

Solve the following:

$-12\times-12$

Possible Answers:

144

Correct answer:

144

Explanation:

We know the following information:

$12\times12=144$

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,

$-12\times-12=144$

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Example Question #1 : Multiply And Divide Rational Numbers Using Properties Of Operations: Ccss.Math.Content.7.Ns.A.2c

Solve:

$35\div-5$

Possible Answers:

Correct answer:

Explanation:

We know the following information:

$35\div5=7$

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,

$35\div-5=-7$

Report an Error

Example Question #331 : The Number System

Solve:

$54\div-6$

Possible Answers:

Correct answer:

Explanation:

We know the following information:

$54\div6=9$

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,

$54\div-6=-9$

Report an Error

Example Question #332 : The Number System

Solve:

$-108\div-12$

Possible Answers:

Correct answer:

Explanation:

We know the following information:

$108\div12=9$

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,

$-108\div-12=9$

Report an Error

Example Question #11 : Multiply And Divide Rational Numbers Using Properties Of Operations: Ccss.Math.Content.7.Ns.A.2c

Solve:

$-10\div-2$

Possible Answers:

Correct answer:

Explanation:

We know the following information:

$10\div2=5$

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,

$-10\div-2=5$

Report an Error

Example Question #334 : The Number System

Solve:

$-16\div-8$

Possible Answers:

Correct answer:

Explanation:

We know the following information:

$16\div8=2$

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,

$-16\div-8=2$

Report an Error

Example Question #12 : Multiply And Divide Rational Numbers Using Properties Of Operations: Ccss.Math.Content.7.Ns.A.2c

Solve the following:

$42\div-7$

Possible Answers:

Correct answer:

Explanation:

We know the following information:

$42\div7=6$

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,

$42\div-7=-6$

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 #6 : Multiply Rational Numbers

Example Question #1 : Multiply And Divide Rational Numbers Using Properties Of Operations: Ccss.Math.Content.7.Ns.A.2c

Example Question #331 : The Number System

Example Question #332 : The Number System

Example Question #11 : Multiply And Divide Rational Numbers Using Properties Of Operations: Ccss.Math.Content.7.Ns.A.2c

Example Question #334 : The Number System

Example Question #12 : Multiply And Divide Rational Numbers Using Properties Of Operations: Ccss.Math.Content.7.Ns.A.2c

All Common Core: 7th Grade Math Resources

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