Use the order of operations in order to simplify (solve) the expression
<span>-12 ÷ 3 x (-8 + (-8) - 6) + 2 Original expression </span><span>-12 ÷ 3 x (-16- 6) + 2 Inside the parenthesis do the addition of the first negatives. -8 +-8 = -16 </span><span>-12 ÷ 3 x (-22) + 2 Inside the parenthesis subtract -16-6 = -22 </span>-4 x (-22) + 2 Multiplication and division is worked from left to right. -12 divided by 3 is -4 88 +2 Multiply -4 x -22 = 88. Two negatives make a positive with multiplication. 90 Addition 88 + 2 = 90
<span>The expression must be simplified using the order of operations. In this case, the terms inside the parenthesis should be simplified first. Within the parenthesis, there is a nested parenthetical term, which is simplified before the rest of the term inside the parenthesis. The +(-8) term simplifies to -8. The terms inside the parenthesis then become (-8-8-6), which is equal to -22. Then, multiplication and division are performed next, in order as they appear. So -12/3 is equal to -4. Then, -4 is multiplied by the -22 from the parenthetical expression to equal 88. Then, addition and subtraction are the final steps in the order of operations, so the 2 is added to the 88, for a total of 90.</span>
The area of a square is found by multiplying its sides. Since a square has perfectly equal side lengths, you know that the square root of the area is equal to the side lengths. The area is 33. The square root of 33 is roughly 5.7. Hope that helps!