The smallest natural number which when rounded off to the nearest hund...
The Concept of Rounding NumbersWhen rounding a number to the nearest hundred, we look at the tens digit. If the tens digit is 5 or more, we round up; if it is less than 5, we round down.
Rounding to 500To round to 500, we need to consider the range of numbers that, when rounded, will give us 500:
- Numbers from 450 to 549 round to 500.
- Numbers below 450 round down to 400.
- Numbers from 550 to 599 round up to 600.
Finding the Smallest Natural NumberAmong the options provided, we need to determine which is the smallest natural number that rounds to 500:
- Option a: 499 - Rounds to 500 (but it is not the smallest natural number that can round to 500).
- Option b: 599 - Rounds to 600 (does not meet our requirement).
- Option c: 450 - Rounds to 500 (is a candidate).
- Option d: 549 - Rounds to 500 (is larger than 450).
ConclusionThe smallest natural number that rounds off to the nearest hundred as 500 is:
450This number is the lowest in the range of 450 to 549, making it the correct answer.