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Changing Decimal to Percentage
Changing Decimals to Percentages
Year 7 .
1. What is a percentage?
A percentage is a number out of 100. The % symbol means “per hundred”.
Decimal → Percentage means:
decimal × 100 and add %.
2. How to change a decimal to a percentage
Step-by-step method
- Move the decimal point two places to the right.
- Add the % sign.
Example 1:
0.47 → 47%
Why? Move decimal two places: 0.47 → 47
Example 2:
0.8 = 80%
Example 3:
0.03 = 3%
3. Decimals greater than 1
Use the same rule: multiply by 100.
1.25 × 100 = 125%4. Repeating decimals
If a decimal repeats, convert by multiplying:
0.333… × 100 = 33.3…%5. Common mistakes
- Moving the decimal left instead of right.
- Forgetting to add
%. - Incorrect rounding.
6. Practice questions
- Convert
0.64to a percentage. - Convert
0.09to a percentage. - Convert
0.125to a percentage. - Convert
1.4to a percentage. - Convert
0.005to a percentage.
Answers
0.64 = 64%0.09 = 9%0.125 = 12.5%1.4 = 140%0.005 = 0.5%