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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 #83 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Solve:

$-9\times-3$ $\displaystyle -9\times-3$

Possible Answers:

$\displaystyle -12$

$\displaystyle 27$

$\displaystyle 6$

$\displaystyle 12$

$\displaystyle -27$

Correct answer:

$\displaystyle 27$

Explanation:

We know the following information:

$9\times3=27$ $\displaystyle 9\times3=27$

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,

$-9\times-3=27$ $\displaystyle -9\times-3=27$

Report an Error

Example Question #211 : The Number System

Solve:

$-10\times-3$ $\displaystyle -10\times-3$

Possible Answers:

$\displaystyle -7$

$\displaystyle -13$

$\displaystyle -30$

$\displaystyle 13$

$\displaystyle 30$

Correct answer:

$\displaystyle 30$

Explanation:

We know the following information:

$10\times3=30$ $\displaystyle 10\times3=30$

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,

$-10\times-3=30$ $\displaystyle -10\times-3=30$

Report an Error

Example Question #81 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Solve:

$-10\times-4$ $\displaystyle -10\times-4$

Possible Answers:

$\displaystyle -16$

$\displaystyle 6$

$\displaystyle -6$

$\displaystyle -40$

$\displaystyle 40$

Correct answer:

$\displaystyle 40$

Explanation:

We know the following information:

$10\times4=40$ $\displaystyle 10\times4=40$

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,

$-10\times-4=40$ $\displaystyle -10\times-4=40$

Report an Error

Example Question #82 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Solve:

$-10\times-5$ $\displaystyle -10\times-5$

Possible Answers:

$\displaystyle 50$

$\displaystyle -50$

$\displaystyle -15$

$\displaystyle -5$

$\displaystyle 15$

Correct answer:

$\displaystyle 50$

Explanation:

We know the following information:

$10\times5=50$ $\displaystyle 10\times5=50$

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,

$-10\times-5=50$ $\displaystyle -10\times-5=50$

Report an Error

Example Question #211 : The Number System

Solve:

$-10\times-6$ $\displaystyle -10\times-6$

Possible Answers:

$\displaystyle 60$

$\displaystyle -60$

$\displaystyle 16$

$\displaystyle -16$

$\displaystyle 4$

Correct answer:

$\displaystyle 60$

Explanation:

We know the following information:

$10\times6=60$ $\displaystyle 10\times6=60$

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,

$-10\times-6=60$ $\displaystyle -10\times-6=60$

Report an Error

Example Question #401 : Grade 7

Solve:

$-10\times-7$ $\displaystyle -10\times-7$

Possible Answers:

$\displaystyle -3$

$\displaystyle 17$

$\displaystyle -70$

$\displaystyle -17$

$\displaystyle 70$

Correct answer:

$\displaystyle 70$

Explanation:

We know the following information:

$10\times7=70$ $\displaystyle 10\times7=70$

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,

$-10\times-7=70$ $\displaystyle -10\times-7=70$

Report an Error

Example Question #211 : The Number System

Solve:

$-10\times-8$ $\displaystyle -10\times-8$

Possible Answers:

$\displaystyle -18$

$\displaystyle -80$

$\displaystyle 80$

$\displaystyle -2$

$\displaystyle 18$

Correct answer:

$\displaystyle 80$

Explanation:

We know the following information:

$10\times8=80$ $\displaystyle 10\times8=80$

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,

$-10\times-8=80$ $\displaystyle -10\times-8=80$

Report an Error

Example Question #402 : Grade 7

Solve:

$-10\times-9$ $\displaystyle -10\times-9$

Possible Answers:

$\displaystyle -19$

$\displaystyle 90$

$\displaystyle 19$

$\displaystyle -90$

$\displaystyle 1$

Correct answer:

$\displaystyle 90$

Explanation:

We know the following information:

$10\times9=90$ $\displaystyle 10\times9=90$

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,

$-10\times-9=90$ $\displaystyle -10\times-9=90$

Report an Error

Example Question #403 : Grade 7

Solve:

$-11\times-4$ $\displaystyle -11\times-4$

Possible Answers:

$\displaystyle -15$

$\displaystyle 44$

$\displaystyle -7$

$\displaystyle 7$

$\displaystyle -44$

Correct answer:

$\displaystyle 44$

Explanation:

We know the following information:

$11\times4=44$ $\displaystyle 11\times4=44$

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,

$-11\times-4=44$ $\displaystyle -11\times-4=44$

Report an Error

Example Question #211 : The Number System

Solve:

$-11\times-5$ $\displaystyle -11\times-5$

Possible Answers:

$\displaystyle -16$

$\displaystyle 6$

$\displaystyle 55$

$\displaystyle 16$

$\displaystyle -55$

Correct answer:

$\displaystyle 55$

Explanation:

We know the following information:

$11\times5=55$ $\displaystyle 11\times5=55$

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,

$-11\times-5=55$ $\displaystyle -11\times-5=55$

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 #83 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Example Question #211 : The Number System

Example Question #81 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Example Question #82 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Example Question #211 : The Number System

Example Question #401 : Grade 7

Example Question #211 : The Number System

Example Question #402 : Grade 7

Example Question #403 : Grade 7

Example Question #211 : The Number System

All Common Core: 7th Grade Math Resources

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