Question 1:
For this question, you simply follow order of operations
P arenthesis
E xponents
M ultiplication
D ivision
A ddition
S ubtraction
Multiplication and Division along with addition and subtraction are of equal order and are done left to right.
-12 ÷ 3 × ( - 8 + (-4)^2 - 6) + 2 ------ Look at parenthesis first. Then there is an exponent in those parenthesis.
-12 ÷ 3 × ( -8 + 16 - 6) + 2 ------- Still simplify parenthesis.
-12 ÷ 3 × 2 + 2 ----- Now division
-4 × 2 + 2 ------- Now multiplication
-8 + 2 ------- And finally addition
-6
Question 2:
|-3| and -3
| | means absolute value. Absolute value is the distance a point is from zero on a number line to explain simply. A distance cannot be negative. We know that -3 is three points away from zero so the |-3| is 3. This is different from just -3 because it is the opposite sign.
