GED Math : Operations with Negative Numbers

Study concepts, example questions & explanations for GED Math

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Example Questions

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Example Question #1 : Operations With Negative Numbers

Solve:

Possible Answers:

Correct answer:

Explanation:

When a negative number is multipied by a positive number, the result is negative.

Therefore,

.

Example Question #2 : Operations With Negative Numbers

Evaluate:

Do not use a calculator.

Possible Answers:

Correct answer:

Explanation:

To subtract a larger positive number from a smaller positive number, do the reverse, then affix a negative symbol, as demonstrated here:

So subtract 3.7 from 9.17:

Since the answer must be negative, it is .

Example Question #3 : Operations With Negative Numbers

Evaluate:

Do not use a calculator.

Possible Answers:

Correct answer:

Explanation:

To obtain the product of two numbers of unlike sign, multiply their absolute values:

The product will remain positive.

Example Question #4 : Operations With Negative Numbers

Evaluate  for . Do NOT use a calculator.

Possible Answers:

Correct answer:

Explanation:

Substitute  for  in the expression.

Example Question #5 : Operations With Negative Numbers

Evaluate: 

Do not use a calculator.

Possible Answers:

Correct answer:

Explanation:

To subtract with negative numbers, change to an addition and make the second number its opposite:

To add two numbers of unlike sign, if the positive has the greater absolute value, simply subtract the absolute values.

The answer is 45.

Example Question #6 : Operations With Negative Numbers

Evaluate:

Do NOT use a calculator.

Possible Answers:

Correct answer:

Explanation:

To obtain the product of two numbers of unlike sign, multiply their absolute values and affix a negative symbol.

Example Question #7 : Operations With Negative Numbers

Which of these is not equal to  ?

Do not use a calculator.

Possible Answers:

The reciprocal of 

Correct answer:

Explanation:

Only one of the choices is positive - , which is the quotient of two negative numbers. This must be the correct response.

Example Question #8 : Operations With Negative Numbers

Evaluate:

Possible Answers:

Correct answer:

Explanation:

Example Question #9 : Operations With Negative Numbers

How many of these statements are correct?

I) 

II) 

III) 

Possible Answers:

Two

None

Three

One

Correct answer:

Three

Explanation:

The absolute value of a negative number can be determined by removing the negative symbol, so . Of the three numbers , all are less than or equal to 0.5. 

Example Question #10 : Operations With Negative Numbers

Raise  to the third power.

Do not use a calculator.

Possible Answers:

Correct answer:

Explanation:

An odd power of a negative number is negative, so take 11 to the third power,  then affix a negaitve symbol.

The result must be negative, so the correct response is .

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