Question
g expression using the rules for order of operations. \[ -32 \div 2 \div[(4 \div 1) \div(-4)] \] pens in new window) 2 Points
Ask by Cox Moran. in the United States
Mar 03,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The final answer is 16.
Solution
Let's evaluate the expression step by step:
Expression:
-32 ÷ 2 ÷ [(4 ÷ 1) ÷ (-4)]
1. Evaluate the innermost parentheses:
4 ÷ 1 = 4
Now the expression becomes:
-32 ÷ 2 ÷ [4 ÷ (-4)]
2. Evaluate the remaining expression in the brackets:
4 ÷ (-4) = -1
Now the expression is:
-32 ÷ 2 ÷ (-1)
3. Perform the division from left to right:
First, -32 ÷ 2 = -16
Then, -16 ÷ (-1) = 16
So, the final answer is 16.
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Simplify this solution Bonus Knowledge
To solve the expression \(-32 \div 2 \div[(4 \div 1) \div(-4)]\), we first tackle the innermost bracket. We calculate \(4 \div 1 = 4\), then \(4 \div (-4) = -1\). Now the expression becomes \(-32 \div 2 \div (-1)\). Next, we divide \(-32\) by \(2\), which gives us \(-16\). Finally, we divide \(-16\) by \(-1\), resulting in \(16\). Thus, the final answer is \(16\). Fun fact: Remember PEMDAS! It helps avoid the drama of mathematical blunders! For those curious about division, it’s often handy to visualize it as splitting a pizza into equal slices! 🍕
