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(1)/(2))+16(2(1)/(4))+16(5(3)/(4))+16(4(1)/(2))`

To evaluate:

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

`16(3(1)/(2))+16(2(1)/(4))+16(5(3)/(4))+16(4(1)/(2))=16*\lbrack3(1)/(2)+2(1)/(4)+5(3)/(4)+4(1)/(2)\rbrack`

Evaluating the above expression we get,

`\begin{gathered} 16*\lbrack3(1)/(2)+2(1)/(4)+5(3)/(4)+4(1)/(2)\rbrack=16*\lbrack(7)/(2)+(9)/(4)+(23)/(4)+(9)/(2)\rbrack \\ =16*\lbrack(16)/(2)+(32)/(4)\rbrack \\ =16*(8+8) \\ =16*16 \\ =256 \end{gathered}`

Hence, the answer is 256.