Problem Overview:
The task involves converting percentages to decimals and decimals to percentages, with specific rounding instructions. Let's solve each part step by step.
---
Part 1: Write each as a decimal. Round to the thousandths place.
####
Step-by-Step Solution:
1.
90%
- To convert a percentage to a decimal, divide by 100.
- \( 90\% = \frac{90}{100} = 0.900 \)
- Rounded to the thousandths place:
0.900
2.
30%
- \( 30\% = \frac{30}{100} = 0.300 \)
- Rounded to the thousandths place:
0.300
3.
115.9%
- \( 115.9\% = \frac{115.9}{100} = 1.159 \)
- Rounded to the thousandths place:
1.159
4.
9%
- \( 9\% = \frac{9}{100} = 0.090 \)
- Rounded to the thousandths place:
0.090
5.
7%
- \( 7\% = \frac{7}{100} = 0.070 \)
- Rounded to the thousandths place:
0.070
6.
65%
- \( 65\% = \frac{65}{100} = 0.650 \)
- Rounded to the thousandths place:
0.650
7.
0.3%
- \( 0.3\% = \frac{0.3}{100} = 0.003 \)
- Rounded to the thousandths place:
0.003
8.
445%
- \( 445\% = \frac{445}{100} = 4.450 \)
- Rounded to the thousandths place:
4.450
---
Part 2: Write each as a percent. Round to the nearest tenth of a percent.
####
Step-by-Step Solution:
9.
0.452
- To convert a decimal to a percentage, multiply by 100.
- \( 0.452 \times 100 = 45.2\% \)
- Rounded to the nearest tenth of a percent:
45.2%
10.
0.006
- \( 0.006 \times 100 = 0.6\% \)
- Rounded to the nearest tenth of a percent:
0.6%
11.
0.002
- \( 0.002 \times 100 = 0.2\% \)
- Rounded to the nearest tenth of a percent:
0.2%
12.
0.05
- \( 0.05 \times 100 = 5.0\% \)
- Rounded to the nearest tenth of a percent:
5.0%
13.
4.78
- \( 4.78 \times 100 = 478.0\% \)
- Rounded to the nearest tenth of a percent:
478.0%
14.
0.1
- \( 0.1 \times 100 = 10.0\% \)
- Rounded to the nearest tenth of a percent:
10.0%
15.
3.63
- \( 3.63 \times 100 = 363.0\% \)
- Rounded to the nearest tenth of a percent:
363.0%
16.
0.03
- \( 0.03 \times 100 = 3.0\% \)
- Rounded to the nearest tenth of a percent:
3.0%
---
Final Answers:
1. \( 0.900 \)
2. \( 0.300 \)
3. \( 1.159 \)
4. \( 0.090 \)
5. \( 0.070 \)
6. \( 0.650 \)
7. \( 0.003 \)
8. \( 4.450 \)
9. \( 45.2\% \)
10. \( 0.6\% \)
11. \( 0.2\% \)
12. \( 5.0\% \)
13. \( 478.0\% \)
14. \( 10.0\% \)
15. \( 363.0\% \)
16. \( 3.0\% \)
---
Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
1. & 0.900 \\
2. & 0.300 \\
3. & 1.159 \\
4. & 0.090 \\
5. & 0.070 \\
6. & 0.650 \\
7. & 0.003 \\
8. & 4.450 \\
9. & 45.2\% \\
10. & 0.6\% \\
11. & 0.2\% \\
12. & 5.0\% \\
13. & 478.0\% \\
14. & 10.0\% \\
15. & 363.0\% \\
16. & 3.0\% \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of pre algebra fraction worksheet with answers.
