we know that
When rounding to the nearest hundred, look at the TENS DIGIT of the number.
If that digit is [tex] 0, 1, 2, 3, 4 [/tex], you will round down to the previous hundred.
If that digit is [tex] 5, 6, 7, 8, 9 [/tex], you will round up to the next hundred
Part a) what is the greatest whole number that rounds to [tex] 2,500 [/tex]?
The answer is [tex] 2,549 [/tex]
Explanation
the tens digit of the number [tex] 2,549 [/tex] is [tex] 4 [/tex]
so
you will round down to the previous hundred.
[tex] 2,549 [/tex]≈[tex] 2,500 [/tex]
Part b) what is the least whole number that rounds to [tex] 2,500 [/tex]?
The answer is [tex] 2,450 [/tex]
Explanation
the tens digit of the number [tex] 2,450 [/tex] is [tex] 5 [/tex]
so
you will round up to the previous hundred.
[tex] 2,450 [/tex]≈[tex] 2,500 [/tex]