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Common Core: 7th Grade Math : Grade 7

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 #461 : Grade 7

Solve:

$24\div-3$ $\displaystyle 24\div-3$

Possible Answers:

$\displaystyle -8$

$\displaystyle 8$

$\displaystyle -21$

$\displaystyle 21$

$\displaystyle -27$

Correct answer:

$\displaystyle -8$

Explanation:

We know the following information:

$24\div3=8$ $\displaystyle 24\div3=8$

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 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,

$24\div-3=-8$ $\displaystyle 24\div-3=-8$

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Example Question #462 : Grade 7

Solve:

$27\div-3$ $\displaystyle 27\div-3$

Possible Answers:

$\displaystyle 9$

$\displaystyle 24$

$\displaystyle 30$

$\displaystyle -9$

$\displaystyle -30$

Correct answer:

$\displaystyle -9$

Explanation:

We know the following information:

$27\div3=9$ $\displaystyle 27\div3=9$

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 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,

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

Report an Error

Example Question #463 : Grade 7

Solve:

$56\div-8$ $\displaystyle 56\div-8$

Possible Answers:

$\displaystyle -7$

$\displaystyle 9$

$\displaystyle 48$

$\displaystyle 7$

$\displaystyle -9$

Correct answer:

$\displaystyle -7$

Explanation:

We know the following information:

$56\div8=7$ $\displaystyle 56\div8=7$

However, the $\displaystyle -8$ 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,

$56\div-8=-7$ $\displaystyle 56\div-8=-7$

Report an Error

Example Question #464 : Grade 7

Solve:

$64\div-8$ $\displaystyle 64\div-8$

Possible Answers:

$\displaystyle 72$

$\displaystyle -8$

$\displaystyle -9$

$\displaystyle 7$

$\displaystyle 8$

Correct answer:

$\displaystyle -8$

Explanation:

We know the following information:

$64\div8=8$ $\displaystyle 64\div8=8$

However, the $\displaystyle -8$ 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,

$64\div-8=-8$ $\displaystyle 64\div-8=-8$

Report an Error

Example Question #465 : Grade 7

Solve:

$72\div-8$ $\displaystyle 72\div-8$

Possible Answers:

$\displaystyle 8$

$\displaystyle -9$

$\displaystyle 64$

$\displaystyle -64$

$\displaystyle 9$

Correct answer:

$\displaystyle -9$

Explanation:

We know the following information:

$72\div8=9$ $\displaystyle 72\div8=9$

However, the $\displaystyle -8$ 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,

$72\div-8=-9$ $\displaystyle 72\div-8=-9$

Report an Error

Example Question #466 : Grade 7

Solve:

$80\div-8$ $\displaystyle 80\div-8$

Possible Answers:

$\displaystyle -11$

$\displaystyle 10$

$\displaystyle 9$

$\displaystyle -72$

$\displaystyle -10$

Correct answer:

$\displaystyle -10$

Explanation:

We know the following information:

$80\div8=10$ $\displaystyle 80\div8=10$

However, the $\displaystyle -8$ 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,

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

Report an Error

Example Question #467 : Grade 7

Solve:

$-40\div-5$ $\displaystyle -40\div-5$

Possible Answers:

$\displaystyle 35$

$\displaystyle -7$

$\displaystyle -8$

$\displaystyle 9$

$\displaystyle 8$

Correct answer:

$\displaystyle 8$

Explanation:

We know the following information:

$40\div5=8$ $\displaystyle 40\div5=8$

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,

$-40\div-5=8$ $\displaystyle -40\div-5=8$

Report an Error

Example Question #468 : Grade 7

Solve:

$-45\div-5$ $\displaystyle -45\div-5$

Possible Answers:

$\displaystyle -40$

$\displaystyle -9$

$\displaystyle -8$

$\displaystyle 9$

$\displaystyle 8$

Correct answer:

$\displaystyle 9$

Explanation:

We know the following information:

$45\div5=9$ $\displaystyle 45\div5=9$

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,

$-45\div-5=9$ $\displaystyle -45\div-5=9$

Report an Error

Example Question #469 : Grade 7

Solve:

$-50\div-5$ $\displaystyle -50\div-5$

Possible Answers:

$\displaystyle -45$

$\displaystyle 10$

$\displaystyle 45$

$\displaystyle -10$

$\displaystyle 55$

Correct answer:

$\displaystyle 10$

Explanation:

We know the following information:

$50\div5=5$ $\displaystyle 50\div5=5$

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,

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

Report an Error

Example Question #470 : Grade 7

Solve:

$-55\div-5$ $\displaystyle -55\div-5$

Possible Answers:

$\displaystyle -50$

$\displaystyle -11$

$\displaystyle 11$

$\displaystyle 10$

$\displaystyle -10$

Correct answer:

$\displaystyle 11$

Explanation:

We know the following information:

$55\div5=11$ $\displaystyle 55\div5=11$

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,

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

Report an Error

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Common Core: 7th Grade Math : Grade 7

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

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #461 : Grade 7

Example Question #462 : Grade 7

Example Question #463 : Grade 7

Example Question #464 : Grade 7

Example Question #465 : Grade 7

Example Question #466 : Grade 7

Example Question #467 : Grade 7

Example Question #468 : Grade 7

Example Question #469 : Grade 7

Example Question #470 : Grade 7

All Common Core: 7th Grade Math Resources

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