Sure, let's round each number to the nearest hundred step-by-step.
### Part (a): 230
1. Look at the tens digit, which is 3 in this case.
2. Since 3 is less than 5, we round the number down.
3. Thus, rounding 230 to the nearest hundred gives us 200.
### Part (b): 997
1. Look at the tens digit, which is 9 in this case.
2. Since 9 is greater than or equal to 5, we round the number up.
3. Thus, rounding 997 to the nearest hundred gives us 1000.
### Part (c): 37,724
1. Look at the tens digit, which is 2 in this case.
2. Since 2 is less than 5, we round the number down.
3. Thus, rounding 37,724 to the nearest hundred gives us 37,700.
So, the rounded numbers are:
- 230 rounded to the nearest hundred is 200.
- 997 rounded to the nearest hundred is 1000.
- 37,724 rounded to the nearest hundred is 37,700.