Question

a. $-|-1|$ b. $-(-1)$ c. $|1|$ d. $|-1|$ e. $-|1|$

   a. $-|-1|$
b. $-(-1)$
c. $|1|$
d. $|-1|$
e. $-|1|$

Prealgebra

Julie Miller, Molly… 1st Edition

Chapter 2, Problem 64

Instant Answer

Solved by Expert Brandon Fox

07/27/2020

Step 1

$-|-1|$, we first calculate the absolute value of -1, which is 1. Then we take the negative of this result. So, $-|-1|=-(1)=-1$. Show more…

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a. $-|-1|$ b. $-(-1)$ c. $|1|$ d. $|-1|$ e. $-|1|$

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Key Concepts

Absolute Value Function

The absolute value function measures the distance of a number from zero on the number line, always outputting a non-negative result regardless of the input's sign. It is essential for understanding how to simplify expressions that involve taking the absolute value of both positive and negative numbers.

Order of Operations

The order of operations establishes a hierarchy for evaluating mathematical expressions, ensuring that operations like absolute value, negation, and standard arithmetic are performed in the correct sequence. This is crucial when expressions include nested operations, such as an outer negative sign applied to an absolute value.

Negation

Negation is the process of changing the sign of a number, effectively converting a positive number to a negative one and vice versa. It is important to differentiate between simple negation and operations involving absolute values, as the placement of a negative sign can alter the outcome of an expression.

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