(a) It was reported that 70,000 fans attended a football game. If this number of football fans was rounded off to the nearest ten thousand, what is:

(i) The least number of fans that could have attended?

(ii) The greatest number of fans that could have attended?

The least number of fans that could have attended the football game is 65,000, and the greatest number is 74,999. Both values round to 70,000 when rounding to the nearest ten thousand. This demonstrates how rounding works within specified ranges.
;

Answered by Anonymous | 2025-07-19

To figure out the least and greatest number of fans that could have been reported as 70,000 when rounded to the nearest ten thousand, let's break it down step-by-step:

Understanding Rounding to the Nearest Ten Thousand:

When you round a number to the nearest ten thousand, you look at the thousand's digit. If it's 5 or more, you round up. If it's less than 5, you round down.


Determining the Range:

The number 70,000 is already rounded to the nearest ten thousand.
To understand what the original number could have been before rounding, we need to determine the range of numbers that round to 70,000.


Finding the Least Number of Fans:

The least number of fans that can be rounded to 70,000 is 65,000.
This is because if you have a number like 64,999, it would round down to 60,000, not 70,000.


Finding the Greatest Number of Fans:

The greatest number of fans that can round to 70,000 is 74,999.
If you have 75,000, it would round up to 80,000.



Therefore, the possible range of the actual number of fans who attended the game, which rounds to 70,000, is from 65,000 to 74,999.
Summary:

(i) The least number of fans could have been 65,000.
(ii) The greatest number of fans could have been 74,999.

Answered by SophiaElizab | 2025-07-22