Year 5 Maths: Convert Decimals to Percentages

Introduction

Hello Year 5! Today, we’re going to learn how to convert decimals to percentages. This is an important skill that helps us understand how to express numbers in different ways. Let’s dive in!

What is a Decimal?

A decimal is a way to show a number that is not a whole number. For example, 0.25 is a decimal. It means 25 hundredths.

What is a Percentage?

A percentage is a way to express a number as a part of 100. For example, 25% means 25 out of 100.

How to Convert Decimals to Percentages

Step-by-Step Guide

1. Start with Your Decimal: Let’s say we have the decimal 0.75.
2. Multiply by 100: To convert it to a percentage, you multiply the decimal by 100. $$0.75 \times 100 = 75$$
3. Add the Percentage Sign: After multiplying, we add the percentage sign (%).
   • So, 0.75 becomes 75%.

Examples

1. Example 1: Convert 0.5 to a percentage.
   • Multiply: $$0.5 \times 100 = 50$$
   • Answer: 50%
2. Example 2: Convert 0.85 to a percentage.
   • Multiply: $$0.85 \times 100 = 85$$
   • Answer: 85%

Key Rules and Tips

• Remember: Always multiply by 100 to convert.
• Practice: The more you practice, the easier it gets!
• Use a Calculator: If it’s tricky, you can use a calculator to help you multiply by 100.

Questions

Easy Level Questions

1. Convert 0.1 to a percentage.
2. Convert 0.2 to a percentage.
3. Convert 0.3 to a percentage.
4. Convert 0.4 to a percentage.
5. Convert 0.6 to a percentage.
6. Convert 0.7 to a percentage.
7. Convert 0.8 to a percentage.
8. Convert 0.9 to a percentage.
9. Convert 0.05 to a percentage.
10. Convert 0.25 to a percentage.
11. Convert 0.01 to a percentage.
12. Convert 0.15 to a percentage.
13. Convert 0.35 to a percentage.
14. Convert 0.45 to a percentage.
15. Convert 0.55 to a percentage.
16. Convert 0.65 to a percentage.
17. Convert 0.75 to a percentage.
18. Convert 0.95 to a percentage.
19. Convert 0.12 to a percentage.
20. Convert 0.09 to a percentage.

Medium Level Questions

1. Convert 0.33 to a percentage.
2. Convert 0.67 to a percentage.
3. Convert 0.4 to a percentage.
4. Convert 0.78 to a percentage.
5. Convert 0.92 to a percentage.
6. Convert 0.22 to a percentage.
7. Convert 0.44 to a percentage.
8. Convert 0.66 to a percentage.
9. Convert 0.88 to a percentage.
10. Convert 0.99 to a percentage.
11. Convert 0.11 to a percentage.
12. Convert 0.19 to a percentage.
13. Convert 0.29 to a percentage.
14. Convert 0.49 to a percentage.
15. Convert 0.59 to a percentage.
16. Convert 0.79 to a percentage.
17. Convert 0.91 to a percentage.
18. Convert 0.03 to a percentage.
19. Convert 0.07 to a percentage.
20. Convert 0.14 to a percentage.

Hard Level Questions

1. Convert 0.125 to a percentage.
2. Convert 0.375 to a percentage.
3. Convert 0.555 to a percentage.
4. Convert 0.666 to a percentage.
5. Convert 0.888 to a percentage.
6. Convert 0.142 to a percentage.
7. Convert 0.238 to a percentage.
8. Convert 0.847 to a percentage.
9. Convert 0.934 to a percentage.
10. Convert 0.004 to a percentage.
11. Convert 0.056 to a percentage.
12. Convert 0.067 to a percentage.
13. Convert 0.072 to a percentage.
14. Convert 0.083 to a percentage.
15. Convert 0.091 to a percentage.
16. Convert 0.215 to a percentage.
17. Convert 0.305 to a percentage.
18. Convert 0.423 to a percentage.
19. Convert 0.512 to a percentage.
20. Convert 0.718 to a percentage.

Answers

Easy Level Answers

1. 10%
2. 20%
3. 30%
4. 40%
5. 60%
6. 70%
7. 80%
8. 90%
9. 5%
10. 25%
11. 1%
12. 15%
13. 35%
14. 45%
15. 55%
16. 65%
17. 75%
18. 95%
19. 12%
20. 9%

Medium Level Answers

1. 33%
2. 67%
3. 40%
4. 78%
5. 92%
6. 22%
7. 44%
8. 66%
9. 88%
10. 99%
11. 11%
12. 19%
13. 29%
14. 49%
15. 59%
16. 79%
17. 91%
18. 3%
19. 7%
20. 14%

Hard Level Answers

1. 12.5%
2. 37.5%
3. 55.5%
4. 66.6%
5. 88.8%
6. 14.2%
7. 23.8%
8. 84.7%
9. 93.4%
10. 0.4%
11. 5.6%
12. 6.7%
13. 7.2%
14. 8.3%
15. 9.1%
16. 21.5%
17. 30.5%
18. 42.3%
19. 51.2%
20. 71.8%

Conclusion

Great job today, Year 5! You’ve learned how to convert decimals to percentages. Remember to practice this skill, and soon it will become second nature to you. Keep up the good work!