Let's solve each problem on the worksheet step by step. The goal is to
convert fractions to decimals, where the denominators are 10, 100, or 1000. This is straightforward because these denominators correspond directly to decimal places:
- Denominator of
10 → one decimal place
- Denominator of
100 → two decimal places
- Denominator of
1000 → three decimal places
We'll go through each item:
---
1. $ \frac{5}{100} $
- 5 divided by 100 = 0.05
✔ Answer: 0.05
---
2. $ 2\frac{3}{10} $
- This is a mixed number: $ 2 + \frac{3}{10} $
- $ \frac{3}{10} = 0.3 $
- So, $ 2 + 0.3 = 2.3 $
✔ Answer: 2.3
---
3. $ \frac{105}{100} $
- $ 105 ÷ 100 = 1.05 $
✔ Answer: 1.05
---
4. $ \frac{7}{10} $
- 7 ÷ 10 = 0.7
✔ Answer: 0.7
---
5. $ 3\frac{44}{100} $
- $ 3 + \frac{44}{100} = 3 + 0.44 = 3.44 $
✔ Answer: 3.44
---
6. $ \frac{45}{10} $
- 45 ÷ 10 = 4.5
✔ Answer: 4.5
---
7. $ \frac{135}{1000} $
- 135 ÷ 1000 = 0.135
✔ Answer: 0.135
---
8. $ 4\frac{204}{1000} $
- $ 4 + \frac{204}{1000} = 4 + 0.204 = 4.204 $
✔ Answer: 4.204
---
9. $ \frac{3005}{1000} $
- 3005 ÷ 1000 = 3.005
✔ Answer: 3.005
---
10. $ \frac{47}{100} $
- 47 ÷ 100 = 0.47
✔ Answer: 0.47
---
11. $ 10\frac{67}{100} $
- $ 10 + \frac{67}{100} = 10 + 0.67 = 10.67 $
✔ Answer: 10.67
---
12. $ \frac{576}{100} $
- 576 ÷ 100 = 5.76
✔ Answer: 5.76
---
13. $ \frac{2}{10} $
- 2 ÷ 10 = 0.2
✔ Answer: 0.2
---
14. $ 1\frac{887}{1000} $
- $ 1 + \frac{887}{1000} = 1 + 0.887 = 1.887 $
✔ Answer: 1.887
---
15. $ \frac{883}{10} $
- 883 ÷ 10 = 88.3
✔ Answer: 88.3
---
16. $ \frac{22}{100} $
- 22 ÷ 100 = 0.22
✔ Answer: 0.22
---
17. $ 5\frac{1}{100} $
- $ 5 + \frac{1}{100} = 5 + 0.01 = 5.01 $
✔ Answer: 5.01
---
18. $ \frac{4321}{1000} $
- 4321 ÷ 1000 = 4.321
✔ Answer: 4.321
---
✔ Final Answers (in order):
1. 0.05
2. 2.3
3. 1.05
4. 0.7
5. 3.44
6. 4.5
7. 0.135
8. 4.204
9. 3.005
10. 0.47
11. 10.67
12. 5.76
13. 0.2
14. 1.887
15. 88.3
16. 0.22
17. 5.01
18. 4.321
---
🔍 Explanation Summary:
- When converting fractions with denominators of 10, 100, or 1000 to decimals, you simply move the decimal point in the numerator based on how many zeros are in the denominator.
- For example:
- $ \frac{47}{100} $ → Move decimal in 47 two places left → 0.47
- $ \frac{204}{1000} $ → Move decimal in 204 three places left → 0.204
- Mixed numbers: Convert the fractional part to decimal and add it to the whole number.
This method works efficiently for all such problems! 🎯
Parent Tip: Review the logic above to help your child master the concept of relate fractions and decimals worksheet 5th grade.
