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 #213 : The Number System

Solve: 

\(\displaystyle -10\times-4\)

Possible Answers:

\(\displaystyle -16\)

\(\displaystyle 6\)

\(\displaystyle 40\)

\(\displaystyle -6\)

\(\displaystyle -40\)

Correct answer:

\(\displaystyle 40\)

Explanation:

We know the following information:

\(\displaystyle 10\times4=40\)

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,

\(\displaystyle -10\times-4=40\)

Example Question #214 : The Number System

Solve: 

\(\displaystyle -10\times-5\)

Possible Answers:

\(\displaystyle 50\)

\(\displaystyle -5\)

\(\displaystyle 15\)

\(\displaystyle -15\)

\(\displaystyle -50\)

Correct answer:

\(\displaystyle 50\)

Explanation:

We know the following information:

\(\displaystyle 10\times5=50\)

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,

\(\displaystyle -10\times-5=50\)

Example Question #215 : The Number System

Solve: 

\(\displaystyle -10\times-6\)

Possible Answers:

\(\displaystyle 60\)

\(\displaystyle 16\)

\(\displaystyle -16\)

\(\displaystyle -60\)

\(\displaystyle 4\)

Correct answer:

\(\displaystyle 60\)

Explanation:

We know the following information:

\(\displaystyle 10\times6=60\)

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,

\(\displaystyle -10\times-6=60\)

Example Question #216 : The Number System

Solve: 

\(\displaystyle -10\times-7\)

Possible Answers:

\(\displaystyle -3\)

\(\displaystyle 70\)

\(\displaystyle -70\)

\(\displaystyle -17\)

\(\displaystyle 17\)

Correct answer:

\(\displaystyle 70\)

Explanation:

We know the following information:

\(\displaystyle 10\times7=70\)

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,

\(\displaystyle -10\times-7=70\)

Example Question #217 : The Number System

Solve: 

\(\displaystyle -10\times-8\)

Possible Answers:

\(\displaystyle -18\)

\(\displaystyle -80\)

\(\displaystyle -2\)

\(\displaystyle 80\)

\(\displaystyle 18\)

Correct answer:

\(\displaystyle 80\)

Explanation:

We know the following information:

\(\displaystyle 10\times8=80\)

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,

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

Example Question #218 : The Number System

Solve: 

\(\displaystyle -10\times-9\)

Possible Answers:

\(\displaystyle 90\)

\(\displaystyle -19\)

\(\displaystyle -90\)

\(\displaystyle 1\)

\(\displaystyle 19\)

Correct answer:

\(\displaystyle 90\)

Explanation:

We know the following information:

\(\displaystyle 10\times9=90\)

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,

\(\displaystyle -10\times-9=90\)

Example Question #219 : The Number System

Solve: 

\(\displaystyle -11\times-4\)

Possible Answers:

\(\displaystyle -44\)

\(\displaystyle -7\)

\(\displaystyle -15\)

\(\displaystyle 44\)

\(\displaystyle 7\)

Correct answer:

\(\displaystyle 44\)

Explanation:

We know the following information:

\(\displaystyle 11\times4=44\)

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,

\(\displaystyle -11\times-4=44\)

Example Question #220 : The Number System

Solve: 

\(\displaystyle -11\times-5\)

Possible Answers:

\(\displaystyle -16\)

\(\displaystyle 16\)

\(\displaystyle 55\)

\(\displaystyle 6\)

\(\displaystyle -55\)

Correct answer:

\(\displaystyle 55\)

Explanation:

We know the following information:

\(\displaystyle 11\times5=55\)

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,

\(\displaystyle -11\times-5=55\)

Example Question #401 : Grade 7

Solve: 

\(\displaystyle -11\times-6\)

Possible Answers:

\(\displaystyle -5\)

\(\displaystyle -17\)

\(\displaystyle -66\)

\(\displaystyle 66\)

\(\displaystyle 5\)

Correct answer:

\(\displaystyle 66\)

Explanation:

We know the following information:

\(\displaystyle 11\times6=66\)

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,

\(\displaystyle -11\times-6=66\)

Example Question #402 : Grade 7

Solve: 

\(\displaystyle -11\times-7\)

Possible Answers:

\(\displaystyle -18\)

\(\displaystyle 77\)

\(\displaystyle -77\)

\(\displaystyle -4\)

\(\displaystyle 4\)

Correct answer:

\(\displaystyle 77\)

Explanation:

We know the following information:

\(\displaystyle 11\times7=77\)

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,

\(\displaystyle -11\times-7=77\)

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