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

Solve:

$-2\times11$ $\displaystyle -2\times11$

Possible Answers:

$\displaystyle -13$

$\displaystyle 9$

$\displaystyle -9$

$\displaystyle 13$

$\displaystyle -22$

Correct answer:

$\displaystyle -22$

Explanation:

We know the following information:

$2\times11=22$ $\displaystyle 2\times11=22$

However, the $\displaystyle -2$ 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,

$-2\times11=-22$ $\displaystyle -2\times11=-22$

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Example Question #38 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Solve:

$-2\times12$ $\displaystyle -2\times12$

Possible Answers:

$\displaystyle 14$

$\displaystyle -10$

$\displaystyle -14$

$\displaystyle 10$

$\displaystyle -24$

Correct answer:

$\displaystyle -24$

Explanation:

We know the following information:

$2\times12=24$ $\displaystyle 2\times12=24$

However, the $\displaystyle -2$ 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,

$-2\times12=-24$ $\displaystyle -2\times12=-24$

Report an Error

Example Question #39 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Solve:

$-3\times3$ $\displaystyle -3\times3$

Possible Answers:

$\displaystyle -6$

$\displaystyle 6$

$\displaystyle 0$

$\displaystyle 9$

$\displaystyle -9$

Correct answer:

$\displaystyle -9$

Explanation:

We know the following information:

$3\times3=9$ $\displaystyle 3\times3=9$

However, the $\displaystyle -3$ 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,

$-3\times3=-9$ $\displaystyle -3\times3=-9$

Report an Error

Example Question #40 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Solve:

$-3\times4$ $\displaystyle -3\times4$

Possible Answers:

$\displaystyle 1$

$\displaystyle 7$

$\displaystyle -7$

$\displaystyle -12$

$\displaystyle 12$

Correct answer:

$\displaystyle -12$

Explanation:

We know the following information:

$3\times4=12$ $\displaystyle 3\times4=12$

However, the $\displaystyle -3$ 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,

$-3\times4=-12$ $\displaystyle -3\times4=-12$

Report an Error

Example Question #161 : The Number System

Solve:

$-3\times5$ $\displaystyle -3\times5$

Possible Answers:

$\displaystyle -15$

$\displaystyle 2$

$\displaystyle 8$

$\displaystyle -2$

$\displaystyle -8$

Correct answer:

$\displaystyle -15$

Explanation:

We know the following information:

$3\times5=15$ $\displaystyle 3\times5=15$

However, the $\displaystyle -3$ 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,

$-3\times5=-15$ $\displaystyle -3\times5=-15$

Report an Error

Example Question #162 : The Number System

Solve:

$-3\times6$ $\displaystyle -3\times6$

Possible Answers:

$\displaystyle 18$

$\displaystyle -18$

$\displaystyle -9$

$\displaystyle 9$

$\displaystyle 3$

Correct answer:

$\displaystyle -18$

Explanation:

We know the following information:

$3\times6=18$ $\displaystyle 3\times6=18$

However, the $\displaystyle -3$ 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,

$-3\times6=-18$ $\displaystyle -3\times6=-18$

Report an Error

Example Question #163 : The Number System

Solve:

$-3\times7$ $\displaystyle -3\times7$

Possible Answers:

$\displaystyle -10$

$\displaystyle 4$

$\displaystyle 10$

$\displaystyle -21$

$\displaystyle -4$

Correct answer:

$\displaystyle -21$

Explanation:

We know the following information:

$3\times7=21$ $\displaystyle 3\times7=21$

However, the $\displaystyle -3$ 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,

$-3\times7=-21$ $\displaystyle -3\times7=-21$

Report an Error

Example Question #164 : The Number System

Solve:

$-3\times8$ $\displaystyle -3\times8$

Possible Answers:

$\displaystyle -24$

$\displaystyle 11$

$\displaystyle 24$

$\displaystyle -11$

$\displaystyle 5$

Correct answer:

$\displaystyle -24$

Explanation:

We know the following information:

$3\times8=24$ $\displaystyle 3\times8=24$

However, the $\displaystyle -3$ 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,

$-3\times8=-24$ $\displaystyle -3\times8=-24$

Report an Error

Example Question #165 : The Number System

Solve:

$-3\times9$ $\displaystyle -3\times9$

Possible Answers:

$\displaystyle 12$

$\displaystyle -27$

$\displaystyle 6$

$\displaystyle 27$

$\displaystyle -12$

Correct answer:

$\displaystyle -27$

Explanation:

We know the following information:

$3\times9=27$ $\displaystyle 3\times9=27$

However, the $\displaystyle -3$ 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,

$-3\times9=-27$ $\displaystyle -3\times9=-27$

Report an Error

Example Question #166 : The Number System

Solve:

$-4\times7$ $\displaystyle -4\times7$

Possible Answers:

$\displaystyle 11$

$\displaystyle 28$

$\displaystyle -11$

$\displaystyle 3$

$\displaystyle -28$

Correct answer:

$\displaystyle -28$

Explanation:

We know the following information:

$4\times7=28$ $\displaystyle 4\times7=28$

However, the $\displaystyle -4$ 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,

$-4\times7=-28$ $\displaystyle -4\times7=-28$

Report an Error

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

Example Question #38 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Example Question #39 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Example Question #40 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Example Question #161 : The Number System

Example Question #162 : The Number System

Example Question #163 : The Number System

Example Question #164 : The Number System

Example Question #165 : The Number System

Example Question #166 : The Number System

All Common Core: 7th Grade Math Resources

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