Question

Evaluate:
$2550-[510-\{270-(90-\overline{80+7}\left)\right\}]$

Answer 1

To evaluate an expression, we must first simplify the expression below the vinculum, then inside the small bracket, then inside the curly bracket, and finally inside the square bracket using the DMAS rule.

Thus, $2550-[510-\{270-(90-\overline{80+7}\left)\right\}]$
$=2550-[510-\{270-(90-87\left)\right\}]$
[Removing vinculum]
$=2550-[510-\{270-3\}]$
[Removing small bracket]
$=2550-[510-267]$
[Removing curly bracket]
$=2550–243$
[Removing square bracket]
$=2307$

$\therefore$ The value of $2550-[510-\{270-(90-\overline{80+7}\left)\right\}]$ is $2307.$