Question

Round off 3789 to nearest 100.
(a) 3789
(b) 3790
(c) 3800
(d) 4000

Answer 1

Hint: To round off the given number nearest to 100, observe the number at tens place of the given number. Follow the rules for rounding off a number to the nearest 100 based on whether the number at tens place is greater than or less than 5.

Complete step-by-step solution -
We have to round off 3789 to the nearest 100.
To do so, we will first observe the number at tens place of the given number.
We know that if the number at tens place of the given number is greater than or equal to 5, we will add one to the digit at hundreds place and replace the digits at tens and ones place by 0. However, if the number at tens place is less than 5, we won’t change the number at hundreds places. We will just replace the digits at tens and units place by 0.
We observe that the number at tens place of 3789 is 8 and 8 is greater than 5.
So, we will add one to the digit at hundreds places. Thus, we have 3889.
We will now replace the digits at tens and ones place by 0. Thus, we have 3800.
Hence, by rounding off 3789 to the nearest 100, we get 3800, which is option (c).

Note: One must know that rounding off a number means making the number simpler but keeping its value close to the original number. When we round off a given number nearest to 100, it means keeping the value of the number close to the hundreds place of the given number.