Question

Select all of the numbers that round to 37.22 when rounded to the nearest hundredth

37.229
37.231
37.218
37.222

Answer 1

To determine which numbers round to 37.22 when rounded to the nearest hundredth, we need to look at how rounding works. When rounding to the nearest hundredth, we consider the third decimal place (thousandths).

Here's how rounding works:
- If the third decimal place is 5 or greater, we round up.
- If the third decimal place is less than 5, we round down.

Now let's evaluate each number:

1. **37.229**
- The third decimal place: 9 (which is 5 or greater)
- Rounds to: 37.23

2. **37.231**
- The third decimal place: 1 (which is less than 5)
- Rounds to: 37.23

3. **37.218**
- The third decimal place: 8 (which is 5 or greater)
- Rounds to: 37.22

4. **37.222**
- The third decimal place: 2 (which is less than 5)
- Rounds to: 37.22

So, the numbers that round to 37.22 are **37.218** and **37.222**.