Common Core: 7th Grade Math : The Number System

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

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Example Questions

Example Question #281 : Operations

Solve:

Possible Answers:

Correct answer:

Explanation:

When multiplying a negative number and a positive number, our answer is negative. Multiply normally. Answer is .

Example Question #282 : Operations

Solve:

Possible Answers:

Correct answer:

Explanation:

When multiplying two negative numbers, the answer is positive. Then multiply normally. Answer is .

Example Question #131 : The Number System

Possible Answers:

Correct answer:

Explanation:

 When multiplying with a negative number, our answer is negative.

Answer is 

Example Question #132 : The Number System

Possible Answers:

Correct answer:

Explanation:

 When multiplying with two negative numbers, our answer is positive.

Answer is 

Example Question #91 : Negative Numbers

Solve:

Possible Answers:

Correct answer:

Explanation:

When multiplying two negative numbers, the negative signs cancel each other out, making for a positive solution. If only one number is negative, the solution will be negative.

Therefore we can rewrite  as , which is .

Example Question #92 : Negative Numbers

Solve:

Possible Answers:

Correct answer:

Explanation:

First, since we are multiplying a negative value with a positive value, we need to realize the product is going to be negative. Next, we can multiply the values.

 

Since the answer is negative, the answer is .

Example Question #133 : 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 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,

Example Question #132 : 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 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,

Example Question #134 : 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 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,

Example Question #133 : 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 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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