Write the decimal as a percent. 0.36 0.36 = \boxed{} %
The Correct Answer and Explanation is:
To write the decimal 0.36 as a percent:0.36=36%0.36 = \boxed{36} \%0.36=36%
Explanation:
A percent represents a number out of 100. The term “percent” comes from the Latin phrase per centum, meaning “by the hundred.” So, converting a decimal to a percent means expressing how many parts out of 100 the decimal represents.
To convert a decimal to a percent, multiply the decimal number by 100 and then attach the percent sign (%).
Let’s apply this to 0.36:0.36×100=360.36 \times 100 = 360.36×100=36
So,0.36=36%0.36 = 36\%0.36=36%
This means that 0.36 represents 36 parts out of 100. You can think of it like scoring 36 out of 100 on a test, which equals a 36 percent score.
Why This Works:
The decimal point moves two places to the right when converting to a percent because percent is based on the denominator 100. Each move to the right represents multiplying by 10, so two moves mean multiplying by 100.
Let’s consider an example. Suppose a student correctly answered 36 questions out of 100. The score would be 0.36 as a decimal. To report this as a percentage, simply multiply by 100, resulting in a 36% score.
Another helpful way to visualize this is by comparing 0.36 to a fraction. The decimal 0.36 is equivalent to 36/100, which is exactly 36%. This confirms the conversion is accurate.
Therefore, the decimal 0.36, when written as a percent, is 36%.
