Question

Perform any indicated operation. Round the result to the nearest tenth and then to the nearest hundredth. $$ 5.349 \div 46.597 $$

Short answer

The result of the division is 0.1 when rounded to the nearest tenth and 0.11 when rounded to the nearest hundredth.

Step-by-step solution

Division

First perform the division. When 5.349 is divided by 46.597, using calculator if necessary, the result is 0.11476206968996488.

Rounding to the nearest tenth

To round the result to the nearest tenth, look at the first digit after the decimal point. If the digit in the tenths place is 5 or greater, round up. If it is less than 5, do not round up. In our case, the first decimal is 1, so rounded to the nearest tenth, our number remains 0.1.

Rounding to the nearest hundredth

To round the original result to the nearest hundredth, focus on the second digit after the decimal point. It is 1 which is less than 5, so, when rounding to the nearest hundredth, our number remains 0.11.