Question

Tre is shown earning an hourly wage. An expressionfor the amount of money earned in one week is16(32)+ 16(22）+ 16(5%) + 16(4}). Rewrite theexpression so that it only has one multiplicationoperation, and then evaluate the expression.

Answer 1

Given:

$16(3\frac{1}{2})+16(2\frac{1}{4})+16(5\frac{3}{4})+16(4\frac{1}{2})$

To evaluate:

First, rewrite the expression so that it has one multiplication.

$16(3\frac{1}{2})+16(2\frac{1}{4})+16(5\frac{3}{4})+16(4\frac{1}{2})=16\times\lbrack3\frac{1}{2}+2\frac{1}{4}+5\frac{3}{4}+4\frac{1}{2}\rbrack$

Evaluating the above expression we get,

$\begin{gathered} 16\times\lbrack3\frac{1}{2}+2\frac{1}{4}+5\frac{3}{4}+4\frac{1}{2}\rbrack=16\times\lbrack\frac{7}{2}+\frac{9}{4}+\frac{23}{4}+\frac{9}{2}\rbrack \\ =16\times\lbrack\frac{16}{2}+\frac{32}{4}\rbrack \\ =16\times(8+8) \\ =16\times16 \\ =256 \end{gathered}$

Hence, the answer is 256.