Answer :
Final answer:
The expression −10 ÷ 2 (−22) (−8) when solved following the order of operations yields −440, which corresponds to option b. -440.The correct option is b. -440.
Explanation:
To solve the expression −10 ÷ 2 (−22) (−8), we should follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction). Since there are no parentheses or exponents to resolve first, we proceed to multiplication and division. Multiplication and division should be performed from left to right.
First, we divide −10 by 2, which gives us −5. Next, we multiply −5 by −22, resulting in 110. Finally, we multiply 110 by −8 to get our final answer, which is −440.
First, we perform the multiplication within the parentheses:
-10 ÷ 2(-22)(-8)a = -10 ÷ 2 × -22 × -8a
−10 ÷ 2 = −5
−5 × (−22) = 110
110 × (−8) = −440
