Question

Which of the following expressions gives the same answer as the given expression?
$7\times [5+\{28-(19-7)\left\}\right]$

Answer 1

$7\times [5+\{28-\left(\underset{–}{19-7}\right)\left\}\right]\Rightarrow$ Simplify the terms in the innermost parentheses first, as per the order of operations, MDAS.
$=7\times [5+\underset{–}{\{28-12}\}]\Rightarrow$ Simplify the terms in the innermost curly braces next, as per the order of operations, MDAS.
$=7\times \left[\underset{–}{5+16}\right]\Rightarrow$ Simplify the terms in the innermost square brackets next, as per the order of operations, MDAS.
$=\underset{–}{7\times 21}$
$=147$

Option A
$\underset{–}{7\times 5}+28-19-7\Rightarrow$ Perform multiplication or division first, whichever appears first from left to right.
$=\underset{–}{35+28}-19-7\Rightarrow$ Perform addition or subtraction, whichever appears first from left to right.
$=\underset{–}{63-19}-7\Rightarrow$ Perform addition or subtraction, whichever appears first from left to right.
$=\underset{–}{44-7}$
$=37$

Option B
$7\times \{5+(\underset{–}{28-19}-7\left)\right\}\Rightarrow$ Simplify the terms in the innermost parentheses first, as per the order of operations, MDAS.
$=7\times \{5+(\underset{–}{9-7}\left)\right\}$
$=7\times \left\{\underset{–}{5+2}\right\}\Rightarrow$ Simplify the terms in the curly braces next, as per the order of operations, MDAS.
$=\underset{–}{7\times 7}$
$=49$

Option C
$7\times \{5+(\underset{–}{28-19}+7\left)\right\}\Rightarrow$ Simplify the terms in the innermost parentheses first, as per the order of operations, MDAS.
$=7\times \{5+(\underset{–}{9+7}\left)\right\}$
$=7\times \left\{\underset{–}{5+16}\right\}\Rightarrow$ Simplify the terms in the curly braces, as per the order of operations, MDAS.
$=7\times 21$
$=147$

Option D
$7\times \{5+28-(\underset{–}{19-7}\left)\right\}\Rightarrow$ Simplify the terms in the innermost parentheses first, as per the order of operations, MDAS.
$=7\times \{\underset{–}{5+28}-12\}\Rightarrow$ Simplify the terms in the innermost curly braces next, as per the order of operations, MDAS.
$=7\times \left\{\underset{–}{33-12}\right\}$
$=\underset{–}{7\times 11}$
$=77$