The smallest natural number which when rounded off to the nearest hund...
Understanding Rounding Off to the Nearest Hundreds
Rounding off numbers helps simplify them, especially when estimating. When rounding to the nearest hundreds, we follow specific rules:
Rounding Rules
- If the last two digits are 50 or more, round up.
- If the last two digits are less than 50, round down.
Finding the Range for 500
To round to 500, we need to determine the range of numbers that will yield 500 when rounded.
- The numbers that round to 500 must be between 450 and 549, inclusive.
- Minimum limit: 450 rounds up to 500.
- Maximum limit: 549 rounds down to 500.
Evaluating the Options
Now, let's analyze the provided options based on the rounding rules:
- Option a) 499
- Last two digits are 99, which is greater than 50.
- Rounds up to 500.
- Option b) 501
- Last two digits are 01, which is less than 50.
- Rounds down to 500.
- Option c) 450
- Last two digits are 50, which equals 50.
- Rounds up to 500.
- Option d) 549
- Last two digits are 49, which is less than 50.
- Rounds down to 500.
Conclusion
Among the options, 450 is the smallest natural number that rounds to 500 when rounded to the nearest hundred. Therefore, the correct answer is option C.
The smallest natural number which when rounded off to the nearest hund...
Understanding Rounding Off to the Nearest Hundreds Rounding off numbers helps simplify them, especially when estimating. When rounding to the nearest hundreds, we follow specific rules: Rounding Rules - If the last two digits are 50 or more, round up. - If the last two digits are less than 50, round down. Finding the Range for 500 To round to 500, we need to determine the range of numbers that will yield 500 when rounded. - The numbers that round to 500 must be between 450 and 549, inclusive. - Minimum limit: 450 rounds up to 500. - Maximum limit: 549 rounds down to 500. Evaluating the Options Now, let's analyze the provided options based on the rounding rules: - Option a) 499 - Last two digits are 99, which is greater than 50. - Rounds up to 500. - Option b) 501 - Last two digits are 01, which is less than 50. - Rounds down to 500. - Option c) 450 - Last two digits are 50, which equals 50. - Rounds up to 500. - Option d) 549 - Last two digits are 49, which is less than 50. - Rounds down to 500. Conclusion Among the options, 450 is the smallest natural number that rounds to 500 when rounded to the nearest hundred. Therefore, the correct answer is option c
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o find the smallest natural number that rounds off to 500 when rounded to the nearest hundred, consider the range of numbers that round to 500. Numbers from 450 to 549 round off to 500 when rounded to the nearest hundred. Therefore, the smallest number that rounds to 500 is 450. So, the correct answer is C: 450.