Question
Use the rule for order of operations to simplify the expression as much as possible: \( -14+8(-2+8)+(-7)= \)
Ask by Simpson Schneider. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified value of the expression is 27.
Solution
To simplify the expression -14 + 8(-2 + 8) + (-7), follow the order of operations (parentheses, multiplication, then addition/subtraction):
1. First, simplify the parentheses:
-2 + 8 = 6
2. Replace the parentheses in the expression:
-14 + 8·6 + (-7)
3. Next, perform the multiplication:
8 · 6 = 48
4. Now, substitute the result:
-14 + 48 + (-7)
5. Lastly, perform the additions/subtractions from left to right:
-14 + 48 = 34
34 + (-7) = 27
The simplified value of the expression is 27.
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Simplify this solution Bonus Knowledge
To simplify the expression \( -14 + 8(-2 + 8) + (-7) \), start by resolving the parentheses first. Inside the parentheses, \( -2 + 8 = 6 \). Now the expression looks like this: \(-14 + 8(6) + (-7)\). Next, multiply \( 8 \times 6 = 48 \). So now we have: \(-14 + 48 - 7\). Adding them together, \(-14 + 48 = 34\). Now, subtract \(7\): \(34 - 7 = 27\). Therefore, the simplified result is \( 27 \).
