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Pre-Algebra : Absolute Value

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Example Questions

Example Question #31 : Absolute Value

Evaluate: $1-(-1)-\left | -1\right |-1$

Possible Answers:

Correct answer:

Explanation:

In this scenario, we have to first simplify the absolute value, and then eliminate the double negatives.

Eliminate the absolute value. The value inside will become positive.

$1-(-1)-\left | -1\right |-1 = 1-(-1)-(1)-1$

Combine double signs into one sign.

1-(-1)-(1)-1 = 1+1-1-1=0

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Example Question #31 : Absolute Value

Solve the absolute value: $-\left | -3+6\right |-3$

Possible Answers:

Correct answer:

Explanation:

Evaluate the quantity inside the absolute value, and then solve.

$-\left | -3+6\right |-3 = -(3)-3 =-6$

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Example Question #33 : Absolute Value

Simplify the absolute value: $\left | 6-8\right |^3-\left | -2\right |^2$

Possible Answers:

Correct answer:

Explanation:

First evaluate the terms inside the absolute value.

The absolute value bars make the value inside of them positive.

Simplify the absolute value.

(2)^3-(2)^2 = 8-4 =4

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Example Question #32 : Absolute Value

Solve:

$-\left | 10\right |-1$

Possible Answers:

Correct answer:

Explanation:

Quantities inside an absolute value will be converted to a positive value.

In this particular case the negative sign is outside of the absolute value bars and thus the bars can be dropped. Once the absolut value bars are dropped, work from left to right to solve.

$\\-\left | 10\right |-1 \\= -10-1 \\= -11$

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Example Question #351 : Operations

Solve the expression: $-\left | 3\cdot2\right |-3\left | -2\right |$

Possible Answers:

Correct answer:

Explanation:

To solve this, first evaluate the terms inside the absolute values.

Recall that any value inside an absolute value sign will become positive and the absolute value bars will go away.

$-\left | 3\cdot2\right |-3\left | -2\right | = -(6)-3(2)$

Simplify.

-(6)-3(2) = -6-6 =-12

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Example Question #352 : Operations

Solve:

$-\left | -3^2\right |^3$

Possible Answers:

243

Correct answer:

Explanation:

Solve by evaluating the quantity inside the absolute value.

-3^2 = -9

Remember that the absolute value bars will turn any value inside of them to a positive value.

Now simplify the absolute value, and apply order of operations.

$\\ -\left | -3^2\right |^3 = -\left | -9 |^3 \\ = -(9)^3 = -(9\times 9\times 9) \\= -729$

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Example Question #353 : Operations

Solve: $\left | -9(-9)\right |-\left | -18\right |$

Possible Answers:

Correct answer:

Explanation:

Simplify the terms inside the absolute value.

Negative and positive values inside the absolute value will become positive.

$\left | 81\right |-\left | 18\right | = 81-18 = 63$

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Example Question #354 : Operations

Solve: $\left | -2\right |^3 -2^4$

Possible Answers:

Correct answer:

Explanation:

Evaluate by first eliminating the absolute value. Any positive or negative value inside the absolute value will be converted to a positive value.

$\left | -2\right |^3 -2^4 = (2)^3 -2^4$

The exponents can be expanded.

$(2)^3 -2^4 = 2\cdot2\cdot2 - 2\cdot2\cdot2\cdot2$

Multiply the terms and subtract.

=8-16

The answer is .

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Example Question #355 : Operations

Possible Answers:

Correct answer:

Explanation:

Simplify the numbers inside the absolute value first. Do not distribute the negative signs into the absolute value. Values inside the absolute value sign are converted to positive values.

Simplify the above expression.

-(3)-(4)(4) = -3-16

Subtract the values.

-3-16 = -19

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Example Question #356 : Operations

Determine the value of: $-\left |(10)^2 \right |$

Possible Answers:

100

200

Correct answer:

Explanation:

Evaluate the quantity that is squared.

Any value inside the absolute value sign will be converted to a positive number.

$-\left |100 \right | = -100$

The answer is:

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Pre-Algebra : Absolute Value

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #31 : Absolute Value

Example Question #31 : Absolute Value

Example Question #33 : Absolute Value

Example Question #32 : Absolute Value

Example Question #351 : Operations

Example Question #352 : Operations

Example Question #353 : Operations

Example Question #354 : Operations

Example Question #355 : Operations

Example Question #356 : Operations

All Pre-Algebra Resources

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