Question

The number of people in a stadium is 47,000 when rounded to the nearest 1000 people.

What is the minimum number of people that could be in the stadium?​

Answer 1

46,500

Explanation:

When rounding to the nearest thousand, we look at the number in the hundreds place.

• When the number in the hundreds place is between 0 and 4, we keep the same number in the thousands place and replace everything to the right of it (numbers in the hundreds, tens, and ones place) with 0s.

1. Using 47,400 as an example, rounding it down to the nearest thousand is 47,000.

• When the number in the hundreds place is between 5 and 9, we add 1 to the number in the thousands place and replace everything to the right of it (numbers in the hundreds).

1. Using 46,500 as an example, we rounding it up to the nearest thousand is 47,000.

• Since we want the minimum number of people that are actually in the stadium, we know the actual number was not rounded down from something like 47,400 since there's numbers small than this.

• Instead, the minimum number of people must be 46,500, since there no smaller number you could have that would allow you to round to 47,000 when rounding to the thousands place.