The percentage of nickel in a U.S. dime is [tex]8.33 \%[/tex]. What is [tex]8.33 \%[/tex] rounded to the nearest tenth of a percent?

A. [tex]8.0 \%[/tex]
B. [tex]8.3 \%[/tex]
C. [tex]8.4 \%[/tex]



Answer :

To solve this problem, let’s start by understanding what it means to round to the nearest tenth of a percent. The tenths place in a decimal number is the first digit to the right of the decimal point.

1. Identify the tenths place and the hundredths place:
- The number we need to round is \(8.33\%.\)
- In this number, the tenths place is \(3\) (the first digit after the decimal point).
- The hundredths place is also \(3\) (the second digit after the decimal point).

2. Determine if rounding up or rounding down is required:
- According to the rules of rounding, if the digit in the hundredths place (second digit after the decimal point) is:
- Less than 5, we do not add anything to the tenths place (i.e., we round down).
- Greater than or equal to 5, we add 1 to the tenths place (i.e., we round up).
- In \(8.33\%\), the hundredths place is \(3\), which is less than \(5\).

3. Perform the rounding:
- Since the digit in the hundredths place is less than \(5\), we round down.
- Therefore, we keep the digit in the tenths place as it is.

4. Write the final answer:
- After rounding \(8.33\%\) to the nearest tenth of a percent, the result is \(8.3\%\).

Thus, \(8.33\%\) rounded to the nearest tenth of a percent is:

[tex]\[ \boxed{8.3\%} \][/tex]