GED Math : Basic Operations

Study concepts, example questions & explanations for GED Math

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Example Questions

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Example Question #41 : Operations With Negative Numbers

Solve this equation: 

Possible Answers:

Correct answer:

Explanation:

Subtracting a negative can sound a little confusing, but it is rather simple.

When subtracting a negative, you are adding it to your positive number. If that sounds confusing, then think of Leave, Change, Opposite.

We shall use our equation to demonstrate this technique. We have  minus . We're going to leave our  alone, change our minus into a plus, and opposite our  into a .

Our equation now should be  because we changed our sign and our subtraction. If this still confuses you I suggest you use a calculator and input  and you should get the same answer, which is .

Our answer is .

Example Question #42 : Operations With Negative Numbers

Solve the equation: 

Possible Answers:

Correct answer:

Explanation:

When multiplying with a negative, you need to understand when to bring the negative sign over in the final answer. You only have the number be negative if the one of the numbers is negative and the other is positive. If both numbers are negative, then they will cancel each other and be positive.

For our example we can see that we only have one negative number and a positive number,  and  respectively. So our answer has to be negative.

Multiply the two numbers as you would, making sure that your end result has a negative in it.

Our answer is .

Example Question #43 : Operations With Negative Numbers

Solve the equation: 

Possible Answers:

Correct answer:

Explanation:

When multiplying with a negative, you need to understand when to bring the negative sign over in the final answer. You only have the number be negative if the one of the numbers is negative and the other is positive. If both numbers are negative, then they will cancel each other and be positive.

For our example, we can see that both of our numbers are negative,  and . This means that our final answer will be positive, as both of the negative signs will cancel each other out.

Multiply the two numbers together as you would, making sure to leave out the negative in your final answer.

Our final answer is .

Example Question #161 : Basic Operations

Solve the equation: 

Possible Answers:

Correct answer:

Explanation:

Dividing with a negative is the same as multiplying with a negative. You only have the number be negative if the one of the numbers is negative and the other is positive. If both numbers are negative, then they will cancel each other and be positive.

Here we can see that we have one negative and one positive,  and  respectively. This means that our final answer will have a negative in it.

Divide the problem as you would, making sure that you place a negative sign in your answer. 

Our answer is .

Example Question #51 : Operations With Negative Numbers

Solve the equation: 

Possible Answers:

Correct answer:

Explanation:

Dividing with a negative is the same as multiplying with a negative. You only have the number be negative if the one of the numbers is negative and the other is positive. If both numbers are negative, then they will cancel each other and be positive.

Here we can see that both of our numbers are negative,  and . Because of this we won't add a negative sign in our answer because both will cancel each other.

Divide the problem as you would, making sure to leave out the negative sign.

Our final answer is .

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