GED Math : Basic Operations

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #36 : Operations With Negative Numbers

Evaluate:  

Possible Answers:

Correct answer:

Explanation:

Evaluate using order of operations first.  Double negatives will turn into a positive.

Determine the sum.

The answer is:  

Example Question #37 : Operations With Negative Numbers

Solve:  

Possible Answers:

Correct answer:

Explanation:

Expand the expression by order of operations.

The answer is:  

Example Question #153 : Basic Operations

Solve:  

Possible Answers:

Correct answer:

Explanation:

Solve by first evaluating the parentheses.  Double negatives result in a positive sign, while a positive and negative sign will result in a negative sign.

Simplify the terms so that there is one sign remaining for each integer.

Evaluate the sum.

The answer is:  

Example Question #38 : Operations With Negative Numbers

Evaluate:  

Possible Answers:

Correct answer:

Explanation:

Evaluate the terms of the inner parentheses.

Double negatives translates to a positive sign.

The answer is:  

Example Question #41 : Operations With Negative Numbers

Simplify:  

Possible Answers:

Correct answer:

Explanation:

Evaluate by using the order of operations.  Double negatives result into positive.

Evaluate the sum.

The answer is:  

Example Question #41 : Operations With Negative Numbers

Solve:  

Possible Answers:

Correct answer:

Explanation:

Simplify the signs first.  Double negatives result in a positive.

The answer is:  

Example Question #157 : Basic Operations

Simplify the following expression:

Possible Answers:

Correct answer:

Explanation:

Simplify the following expression:

We are dealing with a complex series of negative numbers. We have to combine these accurately to get the correct answer.

Let's deal with the first two terms. When subtracting from a negative number, we are essentially adding a negative to an already negative number. Therefore, 

Which can be combined to get:

Now, we need to deal with the third term. Subtracting a negative is the same as adding a postive (recall that two negative signs make a positive).

So, our final answer is 10

 

Example Question #41 : Operations With Negative Numbers

Evaluate: 

Possible Answers:

Correct answer:

Explanation:

A negative number raised to an even-numbered power is equal to the absolute value of the number taken to that power. Therefore,

This number is equal to 4 taken as a factor four times, so 

Example Question #41 : Operations With Negative Numbers

What is the value of the expression  if  and ?

Possible Answers:

Correct answer:

Explanation:

To find the value of , plug in the given x and y values into the appropriate places.

For  and ,

Now, follow the order of operations to simplify. Tackle the exponent first.

Next, multiply.

Finally, subtract.

Example Question #151 : Basic Operations

Add the equation: 

Possible Answers:

Correct answer:

Explanation:

Adding negatives is the same as subtracting. This is because we are adding negative numbers to our positive number, which in turn will make it smaller than when we originally started.

Let's take  and add our  to it, making sure to count down because this is a negative we are working with.

.

We have counted  down from our original number, . We can see that  is what we'll get when we add .

Our answer is .

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