Question

Which is the smallest and greatest number which when rounded off to the nearest hundred becomes 500?

Answer 1

(1)

Half of 100 is 50. So, the smallest number that rounds to 500 is 500 - 50 = 450.

(or) 

Given the number is 500. As u can see the ten's digit is 0.

There is a rule:

If the digit is 0,1,2,3,4. Then the hundreds digit does not change and we have to round to the previous hundred.

500 ~ 450.

Therefore the smallest number which when rounded to 500 is 450.


(2)

The greatest number that round 500 to the nearest 100 would be 500 + 50 - 1 = 549. It won't be 550 because of 550 rounds to 600. 


Hope this helps!

Answer 2

Since the rounding is of to the nearest 100's , the smallest number will be in the range of (450, 499) both inclusive

Since its asking about the smallest number , the number that is the smallest will be 450

For the largest number the range may vary between (501 , 549) both inclusive

This means that any number rounded of to the nearest 100's will be 500

Since it is asking for the largest number , the number will be 549

So,

both the numbers largest( 549) and the smallest (450) when rounded of to the nearest 100's will result in 500