Question

To access gate C, simplify the expression:
$\left[\right(14÷2\times 3)+16\times (7-7)+16-14÷7+15]÷2\times 10$

Answer 1

In the given expression, there are multiple parentheses. Hence we go for the innermost parentheses.

While evaluating the expression inside parentheses, we follow the PEMDAS rule.

$\left[\right(14÷2\times 3)+16\times (7-7)+16-14÷7+15]÷2\times 10$
$=\left[\right(7\times 3)+16\times (7-7)+16-14÷7+15]÷2\times 10$
$=[21+16\times (7-7)+16-14÷7+15]÷2\times 10$

We move to the following innermost parentheses expression.

$[21+16\times (7-7)+16-14÷7+15]÷2\times 10$
$=[21+16\times 0+16-14÷7+15]÷2\times 10$

Now, the square brackets have multiple operations.
Hence, we follow the PEMDAS rule to solve the expression inside it.

$[21+16\times 0+16-14÷7+15]÷2\times 10$
$=[21+0+16-14÷7+15]÷2\times 10$
$=[21+0+16-2+15]÷2\times 10$

Now the expression inside square brackets has addition operations. We move from left to right.

$[21+0+16-2+15]÷2\times 10$
$=[21+16-2+15]÷2\times 10$
$=[37-2+15]÷2\times 10$
$=[35+15]÷2\times 10$
$=50÷2\times 10$

Now the resulting expression has only multiplication and division operations.

$50÷2\times 10$
$=25\times 10$
$=250$