Question

How do you round $0.4062$ to the nearest hundredth?

Answer 1

Hint:This question deals with rounding numbers. A technique that helps a number to become simple without losing its original value is known as rounding off. This technique can be used on rounding off whole numbers as well as decimal numbers. Here, in the given question we are supposed to round off the number up or down to the nearest hundred.

Complete step by step answer:
According to the question,we are given $0.4062$ and we have to round it off to the nearest hundred. We can write $0.4062$ as,
${\displaystyle \frac{4}{10}}+{\displaystyle \frac{0}{100}}+{\displaystyle \frac{6}{1000}}+{\displaystyle \frac{2}{10000}}$.
In order to solve this question, we will have to know a few rules:
-If the thousand place number is $5$ or more, then we have to round up to the nearest hundred by adding one to it.
-If the thousand place number is $4$ or less, then we have to round down to the nearest hundred.
Now, as we can very clearly see that the thousand place is $6$, meaning we have to round the number up to the nearest hundred while the numbers which are to the right go to zero.

Hence, $0.4062$ rounded to the nearest hundred is $0.41$.

Note:These types of questions are very easy to solve. Students should not get confused while solving them. The only area where students are required to pay more attention is to determining the rounding digit and deciding to add one to it or not. The zeros which are used to fill the values up to the decimal point are not accepted as significant digits.