Year 5 Maths: Convert Percentages to Decimals

Introduction to Percentages and Decimals

Hello, Year 5! Today we are going to learn how to convert percentages into decimals. This is an important skill that will help you in many areas of maths!

What is a Percentage?

A percentage is a way to express a number as a part of 100. For example, if you score 75 out of 100 on a test, you can say you scored 75%.

What is a Decimal?

A decimal is a way to represent numbers that are not whole numbers. For example, 0.5 is a decimal that means half of something.

How to Convert Percentages to Decimals

Key Rule

To convert a percentage to a decimal, you follow this simple rule:

1. Divide the percentage by 100.

This means moving the decimal point two places to the left.

Step-by-Step Example

Let’s convert 25% to a decimal:

1. Start with 25%.
2. Divide by 100: $$25 \div 100 = 0.25$$

So, 25% as a decimal is 0.25!

More Examples

• 50%: $$50 \div 100 = 0.50$$
• 10%: $$10 \div 100 = 0.10$$
• 75%: $$75 \div 100 = 0.75$$

Tips and Tricks

• Remember that moving the decimal point two places to the left is the same as dividing by 100.
• If there is no number after the decimal point, you can add a zero. For example, 0.5 can also be written as 0.50.
• Practise with real-life examples, like shopping discounts or scoring in games!

Questions for Practice

Easy Level Questions

1. Convert 10% to a decimal.
2. Convert 20% to a decimal.
3. Convert 30% to a decimal.
4. Convert 40% to a decimal.
5. Convert 50% to a decimal.
6. Convert 60% to a decimal.
7. Convert 70% to a decimal.
8. Convert 80% to a decimal.
9. Convert 90% to a decimal.
10. Convert 100% to a decimal.

Medium Level Questions

11. Convert 15% to a decimal.
12. Convert 25% to a decimal.
13. Convert 35% to a decimal.
14. Convert 45% to a decimal.
15. Convert 55% to a decimal.
16. Convert 65% to a decimal.
17. Convert 85% to a decimal.
18. Convert 95% to a decimal.
19. Convert 12% to a decimal.
20. Convert 18% to a decimal.

Hard Level Questions

21. Convert 37% to a decimal.
22. Convert 42% to a decimal.
23. Convert 67% to a decimal.
24. Convert 84% to a decimal.
25. Convert 99% to a decimal.
26. Convert 58% to a decimal.
27. Convert 73% to a decimal.
28. Convert 87% to a decimal.
29. Convert 22% to a decimal.
30. Convert 33% to a decimal.

Answers

Easy Level Answers

1. 0.10
2. 0.20
3. 0.30
4. 0.40
5. 0.50
6. 0.60
7. 0.70
8. 0.80
9. 0.90
10. 1.00

Medium Level Answers

11. 0.15
12. 0.25
13. 0.35
14. 0.45
15. 0.55
16. 0.65
17. 0.85
18. 0.95
19. 0.12
20. 0.18

Hard Level Answers

21. 0.37
22. 0.42
23. 0.67
24. 0.84
25. 0.99
26. 0.58
27. 0.73
28. 0.87
29. 0.22
30. 0.33

Conclusion

Great job, Year 5! Now you know how to convert percentages to decimals. Keep practising, and soon you will be a whiz at it! If you have any questions, feel free to ask!