Simplify.
-$8 - | 8 - 4 \cdot 5 | + ( - 5 ) ^ { 2 } \div 5 ^ { 2 }$
A) $- 3$
B) $- 11$
C) 3
D) 11

Question

Quizplus · Accepted Answer

First, we need to simplify the expression inside the absolute value:

$8 - |8 - 4 \cdot 5| + (-5)^2 \div 5^2 = 8 - |8 - 20| + 1 = 8 - |-12| + 1$

Since the expression inside the absolute value is negative, we can simplify further:

$8 - |-12| + 1 = 8 - (-12) + 1 = 21$

Now, we just need to subtract 21 by the remaining terms:

$21 + (-5)^2 \div 5^2 = 21 + 1 = 22$

Finally, we get:

$8 - |8 - 4 \cdot 5| + (-5)^2 \div 5^2 = -22 + 22 = \boxed{A) -3}$

Simplify - 8−∣8−4⋅5∣+(−5)2÷528 - | 8 - 4 \cdot 5 | + ( - 5 ) ^ { 2 } \div 5 ^ { 2 }8−∣8−4⋅5∣+(−5)2÷52