Convert decimal fraction 0.65 to percentage.

Question

Accepted Answer

The correct option is 3:
To convert a decimal fraction to a percentage, we multiply the decimal by 100 and add the percent symbol (%).
Recall that "percent" means "per hundred," so multiplying by 100 effectively expresses the number as a fraction of 100.

Step 1: Identify the given decimal fraction.
The given decimal fraction is $0.65$.

Step 2: Multiply the decimal fraction by 100.
To convert $0.65$ to a percentage, we perform the multiplication:
$0.65 	imes 100$

Step 3: Perform the multiplication.
When multiplying a decimal by 100, we move the decimal point two places to the right.
$0.65 	imes 100 = 65$

Step 4: Add the percentage symbol.
After multiplying by 100, we append the percent symbol (%).
So, $65%$.

Therefore, the decimal fraction $0.65$ converted to a percentage is $65%$.

The incorrect option is 1: $6.05%$
This option would be obtained if the decimal was multiplied by 10 instead of 100, and then an extra 0 was added before the 5. This represents a misunderstanding of how to shift the decimal point for percentage conversion.

The incorrect option is 2: $6.5%$
This option would be obtained if the decimal $0.65$ was multiplied by 10 instead of 100. This is a common mistake where the decimal point is shifted only one place to the right instead of two.

The incorrect option is 4: None of the above
Since $65%$ is a valid and correct option, this option is incorrect.