Question

Replace? with =, >, or < to make the statement true. 4 ∙ 16 – 16? 4 ∙ [24 – 2 ∙ (4 + 8)]

a. <
b. =
c. >

Answer 1

`4 * 16 - 16 = \ \ \ \ |\hbox{multiplication before subtraction} \\ 64-16= \\ 48 \\ \\ 4 * [24 -2 * (4+8)]= \ \ \ \ \ |\hbox{parentheses first} \\ 4 * [24 - 2 * 12]= \ \ \ \ \ \ \ \ \ \ \ |\hbox{multiplication before subtraction} \\ 4 * [24 - 24]= \\ 4 * 0= \\ 0 \\ \\ 48 \ \textgreater \ 0 \\ \Downarrow \\ 4 * 16 - 16 \ \textgreater \ 4 * [24- 2 * (4+8)]`

The answer is c. >.