To find 96.1% of 146 and round it to the nearest tenth, follow these steps:
1. Convert the percentage to a decimal:
To convert 96.1% to a decimal, divide by 100.
[tex]\[
\frac{96.1}{100} = 0.961
\][/tex]
2. Multiply the decimal by the number:
Multiply 0.961 by 146.
[tex]\[
0.961 \times 146 = 140.306
\][/tex]
3. Round the result to the nearest tenth:
To round 140.306 to the nearest tenth, look at the digit in the hundredths place (which is the second digit to the right of the decimal point).
[tex]\[
\text{The number is } 140.306
\][/tex]
- The digit in the tenths place is 3.
- The digit in the hundredths place is 0.
Since the digit in the hundredths place is less than 5, we do not need to round up. Therefore, the digit in the tenths place remains the same.
So, 140.306 rounded to the nearest tenth is 140.3.
Thus, 96.1% of 146, rounded to the nearest tenth, is [tex]\( \boxed{140.3} \)[/tex].
