Question

Find the absolute value of the following numbers. a. abs(7)=? b. abs(-7)=? c. -abs(7)=? d. -abs(-7)=?

Piecewise-Defined Functions
ANSWERED
asked 2021-01-05
Find the absolute value of the following numbers.
a. \(\displaystyle{\left|{{7}}\right|}=\)?
b. \(\displaystyle{\left|{-{7}}\right|}=\)?
c. \(\displaystyle-{\left|{{7}}\right|}=\)?
d. \(\displaystyle-{\left|{-{7}}\right|}=\)?

Answers (1)

2021-01-06
Step 1 : Analysis
Given :
a. \(\displaystyle{\left|{{7}}\right|}\)
b. \(\displaystyle{\left|{-{7}}\right|}\)
c. \(\displaystyle-{\left|{{7}}\right|}\)
d. \(\displaystyle-{\left|{-{7}}\right|}\)
Step 2 : Simplification
a. \(\displaystyle{\left|{{7}}\right|}\)
We know that the absolute value of any number is always positive,
\(\displaystyle{\left|{{7}}\right|}={7}\)
b. \(\displaystyle{\left|{-{7}}\right|}\)
We know that the absolute value of any number is always positive,
\(\displaystyle{\left|{-{7}}\right|}={7}\)
Step 3 : Solution
c. \(\displaystyle-{\left|{{7}}\right|}\)
We know that the absolute value of any number is always positive,
\(\displaystyle-{\left|{{7}}\right|}=-{7}\)
d. \(\displaystyle-{\left|{-{7}}\right|}\)
We know that the absolute value of any number is always positive,
\(\displaystyle-{\left|{-{7}}\right|}=-{7}\)
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