Answer :

The greatest whole number that rounds to 2,500 is 2,549. The least whole number that rounds to 2,500 is 2,450.

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]