Question

For a parade, attendance was rounded as 10,000 to the nearest hundred. What was the greatest and least number of people that could have attended the parade? Explain your answer.

Answer 1

Greatest = 10,049

Least = 9,950

Explanation:

Given that:

attendance was rounded as 10,000 to the nearest hundred

The greatest number of people that could have attended the parade is 10,049, this is because, the digit in the hundred place is 0, hence, since the next digit after 0 is less than 5, all subsequent digits are rounded down to 0 = 10,000.

If the number is goes 1 above 10,049 to 10,050, the rounding to the nearest hundred gives 10,100

The least number of people that could have attended should be 9,950; the digit in the hundred place is 9, since the digit after 9 is up to 5, then it is rounded to 100 and added to 9,900 to give 10,000.

If the number goes 1 less than 9950 to 9949, then rounding to the nearest hundred gives 9900.