Question

What‌ ‌is‌ ‌‌\[13.73\]‌ rounded‌ ‌to‌ ‌the‌ ‌nearest‌ ‌tenth?‌ ‌
a)\[13.0\]‌ ‌
b)\[13.7\]‌ ‌
c)\[13.8\]‌ ‌
d)\[14.0\]‌

Answer 1

Hint: We need to round to the nearest tenth place. For that we will first write down the number and then identify the tenth place. The tenth place of a number is just next right to the decimal point in the number. Right to tenth place, it is hundredth place. Now to round to the nearest tenth place we need to check whether the digit on the hundredth place is less than \[5\]or greater than or equal to \[5\].
If the digit on the hundredth place is less than \[5\], then the digit on the hundredth place becomes zero and the digit on tenth place remains the same.
If the digit on the hundredth place is greater than or equal to \[5\], then the digit on the hundredth place becomes zero and the digit on tenth place is increased by 1.
The number obtained will be the number rounded to the nearest tenth.

Complete step-by-step solution:
We are given the number \[13.73\] and we need to find the nearest tenth number.
Firstly, we see that the digit at tenth place is \[7\]
The digit at hundredth place is \[3\]
Now, we see that the digit at hundredth place is less than \[5\]
So, according to the rule the digit at hundredth place becomes zero and the digit at tenth place remains the same.
Hence, the number becomes \[13.70\].
Therefore, when \[13.73\] is rounded to the nearest tenth, it gives \[13.70\] which is equal to \[13.7\].
\[\therefore \] The correct option is (b).

Note: We make sure that we identify the digit at the right place. If the place of the digit identified is wrong, we won't be able to reach the correct answer. Also, we should know that in a decimal number, the zeroes at the end are of no use. i.e. \[13.70000\] will be equal to \[13.7\]only. And, if the digit at hundredth place is equal to \[5\], then the digit at tenth place must be increased by 1.