Question

How do you round $203.86884$ to $2$ decimal places?

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 to two decimal places.

Complete step-by-step solution:
There are certain rounding rules for decimal numbers such as:
Determine the rounding digit. Then, look to the right of the digit.
-If the digit located on right is less than $5$, then it should be considered as zero.
-If the digit located on the right is equal to or more than $5$, then $1$ should be added to them while the rest of the digits should be considered as zero.
Now, according to the question
Given is $203.86884$ and we have to round it off to $2$ decimal places.
Going as per the rounding rules for decimal numbers, we first have to determine the rounding digit which can be done by looking to the right of the digit. In this case, it is $6$ not $8$ because we have to round off the number to two decimal places.
Next, as we can clearly see that $6$ is greater than $5$ so, we add $1$ to it. Therefore, getting $\left( {6 + 1 = 7} \right)$.

Hence, $203.86884$ after rounding off to $2$ decimal place is equal to $203.87$.

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.