GED Math : Basic Operations

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #131 : Basic Operations

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

Possible Answers:

Correct answer:

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, subtract 1,276 feet, and add 4,874 feet. 

This expression is

.

Example Question #131 : Basic Operations

Evaluate without the aid of a calculator:

Possible Answers:

Correct answer:

Explanation:

Since absolute value bars are grouping symbols, we first raise  to the power of 3. An odd power of a negative number is negative, so we do this by raising 5 to the third power, then affixing a negative symbol.

The absolute value of a negative number is the corresponding positive, so

.

Example Question #13 : Operations With Negative Numbers

An airplane takes off from Death Valley, which is 282 feet below sea level. It is now flying at an elevation of  feet. How many feet has the plane ascended since taking off?

Possible Answers:

Correct answer:

Explanation:

We are looking for the difference between the current elevation of the plane and the initial elevation, so we subtract initial elevation  from current elevation . This is

.

 is the correct choice.

Example Question #13 : Operations With Negative Numbers

How many of these statements are correct?

I) 

II) 

III) 

Possible Answers:

None

Two

Three 

One

Correct answer:

One

Explanation:

The absolute value of a negative number can be determined by removing the negative symbol, so . Of the three numbers of the set , only 12 is greater than or equal to 12 (it is equal), so only the first statement is correct.

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?

Possible Answers:

Correct answer:

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) 

Possible Answers:

One

None

Two 

Three

Correct answer:

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.

Possible Answers:

Correct answer:

Explanation:

To divide two numbers of like sign, just divide their absolute values; their quotient will be positive.

Example Question #303 : Ged Math

Solve:  

Possible Answers:

Correct answer:

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 #24 : Operations With Negative Numbers

Solve:  

Possible Answers:

Correct answer:

Explanation:

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

Simplify this expression.

The answer is:  

Example Question #25 : Operations With Negative Numbers

Evaluate:  

Possible Answers:

Correct answer:

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:  

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