Question
2. \( 3.728 \div 0.16 \) 3. \( 0.864 \div 0.024 \) 4. \( 10.044 \div 0.36 \)
Ask by Colon Page. in the United States
Mar 10,2025
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Answer
**Solutions:**
1. \( 3.728 \div 0.16 = 23.3 \)
2. \( 0.864 \div 0.024 = 36 \)
3. \( 10.044 \div 0.36 = 27.9 \)
Solution
**Problem 2: \( 3.728 \div 0.16 \)**
1. Multiply numerator and denominator by 100 to eliminate decimals:
\[
3.728 \div 0.16 = \frac{3.728 \times 100}{0.16 \times 100} = \frac{372.8}{16}
\]
2. Divide:
\[
\frac{372.8}{16} = 23.3
\]
---
**Problem 3: \( 0.864 \div 0.024 \)**
1. Multiply numerator and denominator by 1000:
\[
0.864 \div 0.024 = \frac{0.864 \times 1000}{0.024 \times 1000} = \frac{864}{24}
\]
2. Divide:
\[
\frac{864}{24} = 36
\]
---
**Problem 4: \( 10.044 \div 0.36 \)**
1. Multiply numerator and denominator by 100:
\[
10.044 \div 0.36 = \frac{10.044 \times 100}{0.36 \times 100} = \frac{1004.4}{36}
\]
2. Recognize that:
\[
36 \times 27.9 = 1004.4
\]
3. Thus,
\[
\frac{1004.4}{36} = 27.9
\]
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Simplify this solution Extra Insights
To solve \( 3.728 \div 0.16 \), convert the division into a fraction: \( \frac{3.728}{0.16} \). Multiply both the numerator and the denominator by 100 to eliminate the decimal, resulting in \( \frac{372.8}{16} \). Performing the division gives you \( 23.3 \). For \( 0.864 \div 0.024 \), similarly, set it up as \( \frac{0.864}{0.024} \) and multiply by 1000 to get \( \frac{864}{24} \). Dividing gives you \( 36 \). For \( 10.044 \div 0.36 \), set it as \( \frac{10.044}{0.36} \) and multiply by 100 to get \( \frac{1004.4}{36} \). Perform the division to find that it equals approximately \( 27.9 \).
