4.9 can be expressed in terms of percentage as (A) 4.9% (B) 490% (C) 0.049% (D) 0.49%
The Correct Answer and Explanation is:
The correct answer is: (B) 490%
Explanation:
To express a decimal number as a percentage, you multiply it by 100 and add the percent symbol (%).
So, for the number 4.9, we do the following: 4.9×100=4904.9 \times 100 = 490
Therefore: 4.9=490%4.9 = 490\%
Why Multiply by 100?
Percent means “per hundred.” It comes from the Latin per centum, meaning “out of 100.” So, converting a decimal to a percent is essentially expressing that number as parts out of 100. For example:
- 0.5 means 50 per 100 → 50%
- 1.0 means 100 per 100 → 100%
- 2.0 means 200 per 100 → 200%
- Similarly, 4.9 means 490 per 100 → 490%
Understanding the Other Choices:
Let’s break down why the other options are incorrect:
- (A) 4.9%: This would mean 0.049 as a decimal (since 4.9 ÷ 100 = 0.049). But we started with 4.9, not 0.049.
- (C) 0.049%: This is 0.00049 as a decimal — clearly too small.
- (D) 0.49%: This equals 0.0049 as a decimal — still far smaller than 4.9.
Final Notes:
It’s important to distinguish between decimals and percentages. A number greater than 1 in decimal form will always be greater than 100% when converted into a percentage.
So again: 4.9=490%\boxed{4.9 = 490\%}
Thus, the correct answer is (B) 490%.
