Common Core: 7th Grade Math : Interpret Products of Rational Numbers and Understand Properites of Operations: CCSS.Math.Content.7.NS.A.2a

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

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Example Questions

Example Question #71 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Solve: 

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

Possible Answers:

\(\displaystyle 3\)

\(\displaystyle -17\)

\(\displaystyle -70\)

\(\displaystyle 17\)

\(\displaystyle 70\)

Correct answer:

\(\displaystyle 70\)

Explanation:

We know the following information:

\(\displaystyle 7\times10=70\)

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,

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

Example Question #72 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Solve: 

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

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle -77\)

\(\displaystyle -4\)

\(\displaystyle -18\)

\(\displaystyle 77\)

Correct answer:

\(\displaystyle 77\)

Explanation:

We know the following information:

\(\displaystyle 7\times11=77\)

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,

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

Example Question #73 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Solve: 

\(\displaystyle -7\times-12\)

Possible Answers:

\(\displaystyle -84\)

\(\displaystyle 5\)

\(\displaystyle -19\)

\(\displaystyle 19\)

\(\displaystyle 84\)

Correct answer:

\(\displaystyle 84\)

Explanation:

We know the following information:

\(\displaystyle 7\times12=84\)

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,

\(\displaystyle -7\times-12=84\)

Example Question #74 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Solve: 

\(\displaystyle -8\times-3\)

Possible Answers:

\(\displaystyle 24\)

\(\displaystyle -24\)

\(\displaystyle -11\)

\(\displaystyle -5\)

\(\displaystyle 5\)

Correct answer:

\(\displaystyle 24\)

Explanation:

We know the following information:

\(\displaystyle 8\times3=24\)

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,

\(\displaystyle -8\times-3=24\)

Example Question #75 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Solve: 

\(\displaystyle -8\times-4\)

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle 32\)

\(\displaystyle 12\)

\(\displaystyle -12\)

\(\displaystyle -32\)

Correct answer:

\(\displaystyle 32\)

Explanation:

We know the following information:

\(\displaystyle 8\times4=32\)

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,

\(\displaystyle -8\times-4=32\)

Example Question #76 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Solve: 

\(\displaystyle -8\times-5\)

Possible Answers:

\(\displaystyle -3\)

\(\displaystyle 40\)

\(\displaystyle 13\)

\(\displaystyle -13\)

\(\displaystyle -40\)

Correct answer:

\(\displaystyle 40\)

Explanation:

We know the following information:

\(\displaystyle 8\times5=40\)

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,

\(\displaystyle -8\times-5=40\)

Example Question #381 : Grade 7

Solve: 

\(\displaystyle -8\times-6\)

Possible Answers:

\(\displaystyle 2\)

\(\displaystyle 14\)

\(\displaystyle -2\)

\(\displaystyle 48\)

\(\displaystyle -48\)

Correct answer:

\(\displaystyle 48\)

Explanation:

We know the following information:

\(\displaystyle 8\times6=48\)

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,

\(\displaystyle -8\times-6=48\)

Example Question #382 : Grade 7

Solve: 

\(\displaystyle -8\times-7\)

Possible Answers:

\(\displaystyle -1\)

\(\displaystyle -56\)

\(\displaystyle 56\)

\(\displaystyle -15\)

\(\displaystyle 15\)

Correct answer:

\(\displaystyle 56\)

Explanation:

We know the following information:

\(\displaystyle 8\times7=56\)

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,

\(\displaystyle -8\times-7=56\)

Example Question #391 : Grade 7

Solve: 

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

Possible Answers:

\(\displaystyle -16\)

\(\displaystyle 64\)

\(\displaystyle -64\)

\(\displaystyle 0\)

\(\displaystyle 16\)

Correct answer:

\(\displaystyle 64\)

Explanation:

We know the following information:

\(\displaystyle 8\times8=64\)

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,

\(\displaystyle -8\times-8=64\)

Example Question #392 : Grade 7

Solve: 

\(\displaystyle -8\times-9\)

Possible Answers:

\(\displaystyle -1\)

\(\displaystyle -72\)

\(\displaystyle 72\)

\(\displaystyle -17\)

\(\displaystyle 1\)

Correct answer:

\(\displaystyle 72\)

Explanation:

We know the following information:

\(\displaystyle 8\times9=72\)

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,

\(\displaystyle -8\times-9=72\)

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