Common Core: 7th Grade Math : Divide Rational Numbers

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

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Example Questions

Example Question #1 : Multiply And Divide Rational Numbers Using Properties Of Operations: Ccss.Math.Content.7.Ns.A.2c

Solve: 

Possible Answers:

Correct answer:

Explanation:

We know the following information:

However, the  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,

Example Question #331 : The Number System

Solve: 

Possible Answers:

Correct answer:

Explanation:

We know the following information:

However, the  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,

Example Question #332 : The Number System

Solve: 

Possible Answers:

Correct answer:

Explanation:

We know the following information:

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,

Example Question #331 : The Number System

Solve: 

 

Possible Answers:

Correct answer:

Explanation:

We know the following information:

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,

Example Question #334 : The Number System

Solve: 

Possible Answers:

Correct answer:

Explanation:

We know the following information:

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,

Example Question #12 : Multiply And Divide Rational Numbers Using Properties Of Operations: Ccss.Math.Content.7.Ns.A.2c

Solve the following: 

Possible Answers:

Correct answer:

Explanation:

We know the following information:

However, the  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,

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