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 #161 : The Number System

Solve: 

\(\displaystyle -3\times5\)

Possible Answers:

\(\displaystyle -15\)

\(\displaystyle 2\)

\(\displaystyle 8\)

\(\displaystyle -2\)

\(\displaystyle -8\)

Correct answer:

\(\displaystyle -15\)

Explanation:

We know the following information:

\(\displaystyle 3\times5=15\)

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,

\(\displaystyle -3\times5=-15\)

Example Question #162 : The Number System

Solve: 

\(\displaystyle -3\times6\)

Possible Answers:

\(\displaystyle 18\)

\(\displaystyle -18\)

\(\displaystyle -9\)

\(\displaystyle 9\)

\(\displaystyle 3\)

Correct answer:

\(\displaystyle -18\)

Explanation:

We know the following information:

\(\displaystyle 3\times6=18\)

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,

\(\displaystyle -3\times6=-18\)

Example Question #163 : The Number System

Solve: 

\(\displaystyle -3\times7\)

Possible Answers:

\(\displaystyle -10\)

\(\displaystyle 4\)

\(\displaystyle 10\)

\(\displaystyle -21\)

\(\displaystyle -4\)

Correct answer:

\(\displaystyle -21\)

Explanation:

We know the following information:

\(\displaystyle 3\times7=21\)

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,

\(\displaystyle -3\times7=-21\)

Example Question #41 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Solve: 

\(\displaystyle -3\times8\)

Possible Answers:

\(\displaystyle -11\)

\(\displaystyle 24\)

\(\displaystyle -24\)

\(\displaystyle 5\)

\(\displaystyle 11\)

Correct answer:

\(\displaystyle -24\)

Explanation:

We know the following information:

\(\displaystyle 3\times8=24\)

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,

\(\displaystyle -3\times8=-24\)

Example Question #165 : The Number System

Solve: 

\(\displaystyle -3\times9\)

Possible Answers:

\(\displaystyle 12\)

\(\displaystyle -27\)

\(\displaystyle 6\)

\(\displaystyle 27\)

\(\displaystyle -12\)

Correct answer:

\(\displaystyle -27\)

Explanation:

We know the following information:

\(\displaystyle 3\times9=27\)

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,

\(\displaystyle -3\times9=-27\)

Example Question #166 : The Number System

Solve: 

\(\displaystyle -4\times7\)

Possible Answers:

\(\displaystyle 11\)

\(\displaystyle 28\)

\(\displaystyle -11\)

\(\displaystyle 3\)

\(\displaystyle -28\)

Correct answer:

\(\displaystyle -28\)

Explanation:

We know the following information:

\(\displaystyle 4\times7=28\)

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,

\(\displaystyle -4\times7=-28\)

Example Question #41 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Solve: 

\(\displaystyle -4\times8\)

Possible Answers:

\(\displaystyle -12\)

\(\displaystyle 32\)

\(\displaystyle -4\)

\(\displaystyle -32\)

\(\displaystyle 4\)

Correct answer:

\(\displaystyle -32\)

Explanation:

We know the following information:

\(\displaystyle 4\times8=32\)

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,

\(\displaystyle -4\times8=-32\)

Example Question #41 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Solve: 

\(\displaystyle -4\times9\)

Possible Answers:

\(\displaystyle 13\)

\(\displaystyle -36\)

\(\displaystyle -5\)

\(\displaystyle 5\)

\(\displaystyle -13\)

Correct answer:

\(\displaystyle -36\)

Explanation:

We know the following information:

\(\displaystyle 4\times9=36\)

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,

\(\displaystyle -4\times9=-36\)

Example Question #171 : The Number System

Solve: 

\(\displaystyle -4\times10\)

Possible Answers:

\(\displaystyle -6\)

\(\displaystyle -14\)

\(\displaystyle -40\)

\(\displaystyle 6\)

\(\displaystyle 14\)

Correct answer:

\(\displaystyle -40\)

Explanation:

We know the following information:

\(\displaystyle 4\times10=40\)

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,

\(\displaystyle -4\times10=-40\)

Example Question #49 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Solve: 

\(\displaystyle -4\times11\)

Possible Answers:

\(\displaystyle -44\)

\(\displaystyle 15\)

\(\displaystyle 44\)

\(\displaystyle 7\)

\(\displaystyle -15\)

Correct answer:

\(\displaystyle -44\)

Explanation:

We know the following information:

\(\displaystyle 4\times6=11\)

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,

\(\displaystyle -4\times11=-44\)

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