Question
Find \( -\frac{1}{4}(-8.6) \). Write your answer as a decimal to the nearest hundredth.
Ask by Montgomery Mcdonald. in the United States
Feb 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The answer is 2.15.
Solution
To compute -⅟4(-8.6), start by multiplying the two negatives, which gives a positive result:
-⅟4(-8.6) = (1/4) × 8.6
Now, by performing the multiplication:
8.6 ÷ 4 = 2.15
Thus, the answer to the nearest hundredth is 2.15.
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
To solve \( -\frac{1}{4}(-8.6) \), we start by calculating \(-\frac{1}{4} \times -8.6\). First, let's find \(\frac{1}{4} \times 8.6\): \[ \frac{8.6}{4} = 2.15 \] Since both numbers were negative, their product becomes positive: \[ -\frac{1}{4}(-8.6) = 2.15 \] Thus, the final answer, rounded to the nearest hundredth, is \(2.15\).