The value of $x$ is decreased by $45 \%$ . Which expression represents this situation? $\newline$ $0.955 x$ $\newline$ $45 x$ $\newline$ $0.45 x$ $\newline$ $0.55 x$

Full solution

Q. The value of

x

is decreased by

45 \%

. Which expression represents this situation?

\newline

0.955 x

\newline

45 x

\newline

0.45 x

\newline

0.55 x

Subtract from $100$ %: To decrease a value by a percentage, we subtract that percentage from $100$ % and then apply the resulting percentage to the value. In this case, we are decreasing $x$ by $45\%$ . So, we subtract $45\%$ from $100\%$ . $\newline$ $100\% - 45\% = 55\%$
Convert to decimal: Now we need to express $55\%$ as a decimal to create an expression that represents the decrease. To convert a percentage to a decimal, we divide by $100$ . $\newline$ $55\% = \frac{55}{100} = 0.55$
Expression for decrease: The expression that represents the value of $x$ decreased by $45\%$ is therefore $0.55$ times $x$ . $0.55 x$