Common Core: 7th Grade Math : Grade 7

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

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Example Questions

Example Question #471 : Grade 7

Solve: 

\(\displaystyle -18\div-2\)

Possible Answers:

\(\displaystyle 9\)

\(\displaystyle 16\)

\(\displaystyle -8\)

\(\displaystyle 8\)

\(\displaystyle -9\)

Correct answer:

\(\displaystyle 9\)

Explanation:

We know the following information:

\(\displaystyle 18\div2=9\)

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,

\(\displaystyle -18\div-2=9\)

Example Question #472 : Grade 7

Solve: 

\(\displaystyle -20\div-2\)

Possible Answers:

\(\displaystyle -10\)

\(\displaystyle -11\)

\(\displaystyle 10\)

\(\displaystyle 11\)

\(\displaystyle -18\)

Correct answer:

\(\displaystyle 10\)

Explanation:

We know the following information:

\(\displaystyle 20\div2=10\)

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,

\(\displaystyle -20\div-2=10\)

Example Question #473 : Grade 7

Solve: 

\(\displaystyle -22\div-2\)

Possible Answers:

\(\displaystyle 10\)

\(\displaystyle -12\)

\(\displaystyle -11\)

\(\displaystyle 12\)

\(\displaystyle 11\)

Correct answer:

\(\displaystyle 11\)

Explanation:

We know the following information:

\(\displaystyle 22\div2=11\)

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,

\(\displaystyle -22\div-2=11\)

Example Question #474 : Grade 7

Solve: 

\(\displaystyle -24\div-2\)

Possible Answers:

\(\displaystyle -11\)

\(\displaystyle 11\)

\(\displaystyle -12\)

\(\displaystyle 12\)

\(\displaystyle -22\)

Correct answer:

\(\displaystyle 12\)

Explanation:

We know the following information:

\(\displaystyle 24\div2=12\)

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,

\(\displaystyle -24\div-2=12\)

Example Question #475 : Grade 7

Solve: 

\(\displaystyle -80\div-8\)

Possible Answers:

\(\displaystyle -12\)

\(\displaystyle -72\)

\(\displaystyle 12\)

\(\displaystyle -10\)

\(\displaystyle 10\)

Correct answer:

\(\displaystyle 10\)

Explanation:

We know the following information:

\(\displaystyle 80\div8=10\)

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,

\(\displaystyle -80\div-8=10\)

Example Question #476 : Grade 7

Solve: 

\(\displaystyle -88\div-8\)

Possible Answers:

\(\displaystyle 10\)

\(\displaystyle -11\)

\(\displaystyle 12\)

\(\displaystyle -12\)

\(\displaystyle 11\)

Correct answer:

\(\displaystyle 11\)

Explanation:

We know the following information:

\(\displaystyle 88\div8=11\)

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,

\(\displaystyle -88\div-8=11\)

Example Question #477 : Grade 7

Solve: 

\(\displaystyle -96\div-8\)

Possible Answers:

\(\displaystyle -11\)

\(\displaystyle 12\)

\(\displaystyle 13\)

\(\displaystyle -12\)

\(\displaystyle 88\)

Correct answer:

\(\displaystyle 12\)

Explanation:

We know the following information:

\(\displaystyle 96\div8=12\)

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,

\(\displaystyle -96\div-8=12\)

Example Question #478 : Grade 7

Solve: 

\(\displaystyle -8\div-8\)

Possible Answers:

\(\displaystyle 2\)

\(\displaystyle -1\)

\(\displaystyle 16\)

\(\displaystyle 1\)

\(\displaystyle 0\)

Correct answer:

\(\displaystyle 1\)

Explanation:

We know the following information:

\(\displaystyle 8\div8=1\)

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,

\(\displaystyle -8\div-8=1\)

Example Question #479 : Grade 7

Solve: 

\(\displaystyle -2\div-2\)

 

Possible Answers:

\(\displaystyle 0\)

\(\displaystyle -4\)

\(\displaystyle -1\)

\(\displaystyle 1\)

\(\displaystyle 4\)

Correct answer:

\(\displaystyle 1\)

Explanation:

We know the following information:

\(\displaystyle 2\div2=1\)

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,

\(\displaystyle -2\div-2=1\)

Example Question #480 : Grade 7

Solve: 

\(\displaystyle -4\div-2\)

Possible Answers:

\(\displaystyle -6\)

\(\displaystyle 2\)

\(\displaystyle 6\)

\(\displaystyle -2\)

\(\displaystyle 1\)

Correct answer:

\(\displaystyle 2\)

Explanation:

We know the following information:

\(\displaystyle 4\div2=2\)

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,

\(\displaystyle -4\div-2=2\)

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