# GED Math : Operations with Negative Numbers

## Example Questions

### Example Question #21 : Operations With Negative Numbers

An airplane takes off from Death Valley, which is 282 feet below sea level. It ascends 12,879 feet before leveling off, then it ascends 4,276 feet; it finally descends 1,874 feet. Which of the following expressions is equal to the plane's current elevation in feet?     Explanation:

The initial elevation of the plane is 282 feet below sea level, which is feet in elevation. Ascent is an increase in elevation and descent is a decrease, so, to the elevation, in turn, add 12,879 feet, add 4,276 feet, and subtract 1,874 feet.

This expression is .

### Example Question #22 : Operations With Negative Numbers

How many of these statements are correct?

I) II) III) None

Two

One

Three

Two

Explanation:

The absolute value of positive number is the number itself, so . Of the three numbers , 7 is not less than 7 itself, but the other two are.

### Example Question #23 : Operations With Negative Numbers

Evaluate: Do not use a calculator.     Explanation:

To divide two numbers of like sign, just divide their absolute values; their quotient will be positive. ### Example Question #21 : Operations With Negative Numbers

Solve:       Explanation:

When a negative number is subtracted with a positive number, we will have an increasingly negative number. Double negative signs will translate into a positive sign. Sum the two numbers. The answer is: ### Example Question #25 : Operations With Negative Numbers

Solve:       Explanation:

Evaluate the terms in the parentheses first.  Double negatives will turn into a positive. Simplify this expression.

The answer is: ### Example Question #26 : Operations With Negative Numbers

Evaluate:       Explanation:

A positive and a negative sign will be combined as a negative. When a negative number is subtracted, it becomes increasingly negative.

The answer is: ### Example Question #27 : Operations With Negative Numbers

Evaluate:       Explanation:

Double negatives can be converted to a positive sign. Compute the sum. The answer is: ### Example Question #23 : Operations With Negative Numbers

Simplify the following:       Explanation:

Begin by simplifying everything that is found in parentheses: Next, perform the subtraction in the numerator: Although you cannot simplify the fraction, you can cancel out the negatives since you have a negative in both the numerator and the denominator.  Thus, your answer is: ### Example Question #22 : Operations With Negative Numbers

Simplify the following:       Explanation:

Okay, this is complex.  However, just do it step by step and you will surely get it correct!  First, handle everything in parentheses: Next, simplify each of the smaller fractions: Now, remember that to divide two fractions, you need to multiply by the reciprocal, this means: You don't have to do any more work, however!  The answer is, of all things, !  This is because the first fraction is equal to .

### Example Question #30 : Operations With Negative Numbers

Subtract:       Explanation:

Convert double negatives to a positive sign. The answer is:  