The value of the expression (5-7)(-8+4)/2-(-6) is
The answer key says -33.
????????????
(5-7)(-8+4)/2-(-6)
(-2)(-4)/2-(-6)
8/2 - (-6)
4 + 6
10
or if the whole 2-(-6) is in the denominator,
(5-7)(-8+4)/(2-(-6))
(-2)(-4)/(2+6)
-8/8
-1
I'm not sure how they got -33. Probably there's typo error or something...
To evaluate the expression (5-7)(-8+4)/2-(-6), we can follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction):
1. Simplify the expression within the parentheses: (-8+4) = -4
Now we have: (5-7)(-4)/2-(-6)
2. Perform the operations of multiplication and division from left to right: (5-7) = -2, then (-2)(-4)= 8, then 8/2 = 4
Now we have: 4 - (-6)
3. Perform the subtraction: 4 - (-6) = 4 + 6 = 10
Therefore, according to the calculation, the value of the expression (5-7)(-8+4)/2-(-6) is 10.
It seems that there might be a mistake in the answer key, as the correct answer should be 10, not -33.