Question

Challenge for the Bumper Cars
Evaluate the expression:
$(16÷16)\times (25-6\times 4)\times \left[\right(8-5)\times 8+1]+17$

Answer 1

We know that square bracket is a type of parenthesis.

Hence, in the given expression, we have parentheses inside another pair of parentheses.

So, we must solve the expression inside the innermost parenthesis first.

$(16÷16)\times (25-6\times 4)\times \left[\right(8-5)\times 8+1]+17$
$=(16÷16)\times (25-6\times 4)\times [3\times 8+1]+17$

Now, all the parentheses are at the same level.
$\therefore$ We move from the left to the right while solving the expression in the parenthesis.

$(16÷16)\times (25-6\times 4)\times [3\times 8+1]+17$
$=1\times (25-6\times 4)\times [3\times 8+1]+17$

While solving the expression in the parentheses, we again follow the PEMDAS rule, i.e., first, multiply and then the subtraction.

$=1\times (25-24)\times [3\times 8+1]+17$
$=1\times 1\times [3\times 8+1]+17$
$=1\times 1\times [24+1]+17$
$=1\times 1\times 25+17$
$=1\times 25+17$
$=25+17$
​​​​​​​​​​​​​​$=42$