Simplify. -|-(1)/(4)|

Name: Problem 100, Chapter 4: Prealgebra
Uploaded: 2020-07-27T21:56:09-08:00
Duration: 5 s
Channel: Michelle Nguyen
Description: Simplify. -|-(1)/(4)|

step 1 Here we're multiplying negative 1 times negative 1 fourth and that gives us 1 fourth.

Question

Simplify. $$-\left|-\frac{1}{4}\right|$$

   Simplify.
$$-\left|-\frac{1}{4}\right|$$

Prealgebra

Julie Miller, Molly… 1st Edition

Chapter 4, Problem 100

Instant Answer

Solved by Expert Michelle Nguyen

07/27/2020

Step 1

Therefore, the absolute value of any number is always positive or zero. So, the absolute value of $-\frac{1}{4}$ is $\frac{1}{4}$. Show more…

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Simplify. $$-\left|-\frac{1}{4}\right|$$

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Key Concepts

Absolute Value

The absolute value of a number is its nonnegative distance from zero on the number line. It converts negative numbers into positive ones while leaving positive numbers unchanged, meaning that the absolute value of any real number is always nonnegative.

Negative Signs in Arithmetic

Handling negative signs correctly is essential in arithmetic. When a negative sign is placed outside an expression, such as an absolute value, it multiplies the entire result by -1, thus changing the overall sign of the expression after other operations have been performed.

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