Common Core: 7th Grade Math : Multiply and Divide Rational Numbers Using Properties of Operations: CCSS.Math.Content.7.NS.A.2c

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

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Example Questions

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

Possible Answers:

Correct answer:

Explanation:

Let's work from left to right since it's only multiplication and division. Since there is only one negative number, the product of  is negative which is . Now we have . Two negative numbers in a  division problem makes the answer positive. 

Example Question #311 : Operations

Solve:  

Possible Answers:

Correct answer:

Explanation:

When solving this problem remember our orders of operation, or PEMDAS. 

PEMDAS stands for parentheses, exponents, multiplication/division, and addition/subtraction. When you have a problem with several different operations, you need to solve the problem in this order and you work from left to right for multiplication/division and addition/subtraction.

Simplify the quantities inside the parentheses.  Then multiply and distribute the coefficient in front.

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:

When solving this problem remember our orders of operation, or PEMDAS.

PEMDAS stands for parentheses, exponents, multiplication/division, and addition/subtraction. When you have a problem with several different operations, you need to solve the problem in this order and you work from left to right for multiplication/division and addition/subtraction.

Evaluate the quantities inside the parentheses first.

Example Question #2 : 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 #3 : 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 #4 : 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 #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:

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 #2 : 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:

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 #7 : 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:

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 #8 : 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 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,

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