Question

Evaluate:
$-8-\{-6(9-11)+18÷(-3\left)\right\}$

Answer 1

Evaluate $-8-\{-6(9-11)+18÷(-3\left)\right\}$

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

Thus,

$-8-\{-6(9-11)+18÷(-3\left)\right\}$ [Removing small bracket]

$=-8-\{-6(-2)+(-6\left)\right\}$
[Division:$18÷(-3)=-6$]

$=-8-\{12+(-6\left)\right\}$
[Multiplication: $(-6)(-2)=12$]

$=-8-\left\{6\right\}$ [Removing square brackets]

$=-8-6=-14$

$\therefore$ The value of $-8-\{-6(9-11)+18÷(-3\left)\right\}$ is $-14.$