Question

How do you round 1,993 to the nearest hundred?

Answer 1

Hint: To round 1,993 to the nearest hundred, we have rules to round off the number in which, if the digit to the right is greater than or equal to 5, then we increase the digit by 1 and set all the digits to the right of it equal to 0. If it is less than 5, we just set all the digits to the right of the digit to 0 directly.

Complete step by step solution:
Given,
1,993
In which we need to round the number to the nearest hundred.
Suppose we want to round a number to the nearest (one, ten, hundred, thousand, etc). To do so, we look at the (ones, tens, hundreds, thousands, etc) digit, then look one digit to the right of that.
If the digit to the right is greater than or equal to 5, then we increase the (ones, tens, hundreds, thousands, etc) digit by 1 and set all the digits to the right of it equal to 0. If it is less than 5, we just set all the digits to the right of the (ones, tens, hundreds, thousands, etc) digit to 0 directly.
In the given example, we want to round 1993 to the nearest hundred, so first we look at the hundreds digit:
 \[1\underline 9 93\]
Then, look at the digit to the right i.e., tens digit:
 \[19\underline 9 3\]
This digit is greater than or equal to 5, so add 1 to the hundreds digit and set all the digits to the right of it equal to 0:
 \[1\left( {9 + 1} \right)00\]
 \[ \Rightarrow 1\left( {10} \right)00\]
In this case, we now have 10 hundreds, which is the same as 1 thousand, so add 1 to the thousands digit and set the hundreds digit equal to 0:
 \[\left( {1 + 1} \right)000\]
 \[ \Rightarrow 2000\]
Hence, we are done 1993, rounded to the nearest hundred, is 2000.
So, the correct answer is “2000”.

Note: When rounding to the nearest hundred, we must know all the rules to round the nearest number to it, hence here are some of the alternate rules, to round the number as: We round the number up to the nearest hundred if the last two digits in the number are 50 or above. We round the number down to the nearest hundred if the last two digits in the number are 49 or below and if the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.