Write each decimal as a percent. 0.019
The correct answer and explanation is:
Correct Answer:
0.019 = 1.9%
Explanation (300 words):
To convert a decimal to a percent, the general rule is:
Multiply the decimal by 100, then add the percent symbol (%).
Let’s apply this rule to 0.019: 0.019×100=1.90.019 \times 100 = 1.9
Now, attach the percent symbol: 0.019=1.9%0.019 = 1.9\%
Why does this work?
Percent literally means “per hundred.” So, when you convert a decimal to a percent, you are expressing how many parts out of 100 the decimal represents.
For example:
- 0.5 = 50%, because 0.5 × 100 = 50
- 0.75 = 75%, because 0.75 × 100 = 75
So, in this case, 0.019 means 1.9 parts out of 100, or 1.9%.
Step-by-step conversion:
- Start with the decimal: 0.019
- Multiply by 100: 0.019×100=1.90.019 \times 100 = 1.9
- Add the percent symbol: 1.9%1.9\%
Common Mistake to Avoid:
A common error is to move the decimal place the wrong number of positions. When converting from decimal to percent, move the decimal point two places to the right, which is the same as multiplying by 100.
So:
- 0.019 → move two places → becomes 1.9%
- 0.1 → becomes 10%
- 0.005 → becomes 0.5%
Final Answer:
✅ 0.019 = 1.9%