Write each decimal as a percent.
1. 8.5 2.
2.64
3. 0.009
4. 0.0034
The correct answer and explanation is:
To write a decimal as a percent, multiply the decimal by 100 and add a percent sign (%). This is because “percent” means “per hundred.”
Let’s convert each decimal to a percent:
1. 8.5
8.5 × 100 = 850%
✅ Answer: 850%
2. 2.64
2.64 × 100 = 264%
✅ Answer: 264%
3. 0.009
0.009 × 100 = 0.9%
✅ Answer: 0.9%
4. 0.0034
0.0034 × 100 = 0.34%
✅ Answer: 0.34%
🌟 300-Word Explanation
Understanding how to convert decimals to percentages is essential in math and everyday life, especially in finances, measurements, and data interpretation. A percent represents a part of 100. So when we convert a decimal to a percent, we are expressing that number in terms of how many parts out of 100 it represents.
To convert a decimal to a percent, the key step is multiplying the decimal by 100. This works because decimals are based on powers of 10, and multiplying by 100 shifts the decimal point two places to the right, which aligns with the concept of “per hundred.”
Let’s explore the examples:
- 8.5 becomes 850%. This shows that 8.5 is 8 and a half times the whole (more than 100%).
- 2.64 becomes 264%, which means 2.64 times the whole, or 164% more than 100%.
- 0.009 becomes 0.9%, showing a very small portion of the whole — less than 1%.
- 0.0034 becomes 0.34%, even smaller — only about a third of 1%.
This process helps compare values more clearly. For instance, sales tax, discounts, and interest rates are all commonly expressed as percentages. Being comfortable with these conversions allows better decision-making and understanding in practical contexts.
So, remember:
Decimal × 100 = Percent
And always add the % symbol to finish the conversion.