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The value of
x is decreased by
18%. Which expression does NOT represent this situation?

0.82 x
0.82

1x-0.18 x

(1-0.18)x

The value of $x$ is decreased by $18 \%$ . Which expression does NOT represent this situation? $\newline$ $0.82 x$ $\newline$ $0$ . $82$ $\newline$ $1 x-0.18 x$ $\newline$ $(1-0.18) x$

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Compare percents to each other and to fractions

Full solution

Q. The value of

x

is decreased by

18 \%

. Which expression does NOT represent this situation?

\newline

0.82 x

\newline

0

.

82

\newline

1 x-0.18 x

\newline

(1-0.18) x

Subtract $18$ % from value: To decrease a value by $18$ %, we subtract $18$ % of the value from itself. This can be represented as $x - 0.18x$ or $(1 - 0.18)x$ . Let's check each option to see which one does not represent a decrease of $18\%$ .
Check first option: The first option is $0.82x$ . To check if this represents an $18\%$ decrease, we can see that $1 - 0.18 = 0.82$ . Therefore, $0.82x$ does represent $x$ decreased by $18\%$ .
Check second option: The second option is just $0.82$ without any $x$ . This does not represent a decrease of $x$ by $18\%$ because it does not include the variable $x$ . It is just a number, not an expression involving $x$ .
Check third option: The third option is $1x - 0.18x$ . This can be simplified to $x - 0.18x$ , which is the same as $(1 - 0.18)x$ . This does represent a decrease of $x$ by $18\%$ .
Check fourth option: The fourth option is $(1 - 0.18)x$ . Simplifying the expression inside the parentheses gives us $0.82x$ , which, as we have already determined, represents a decrease of $x$ by $18\%$ .

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