Question
3. \( \left\{\left(2^{3} \times 2.5\right) \div \frac{1}{2}\right\}+120 \)
Ask by Bright Lane. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The final answer is 160.
Solution
Let's evaluate the given expression step by step:
\[
\left\{\left(2^{3} \times 2.5\right) \div \frac{1}{2}\right\} + 120
\]
1. **Calculate \(2^{3}\):**
\[
2^{3} = 2 \times 2 \times 2 = 8
\]
2. **Multiply by 2.5:**
\[
8 \times 2.5 = 20
\]
3. **Divide by \(\frac{1}{2}\):**
\[
20 \div \frac{1}{2} = 20 \times 2 = 40
\]
(Dividing by a fraction is the same as multiplying by its reciprocal.)
4. **Add 120:**
\[
40 + 120 = 160
\]
**Final Answer:** \(160\)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
Let's break this down step by step! First, calculate \( 2^{3} \), which equals 8. Then, multiply that by 2.5: \( 8 \times 2.5 = 20 \). Next, we need to divide this result by \( \frac{1}{2} \). Dividing by a fraction is the same as multiplying by its reciprocal, so: \( 20 \div \frac{1}{2} = 20 \times 2 = 40 \). Finally, add 120 to this result: \( 40 + 120 = 160 \). The final answer is \( 160 \).
