Question
Tony rounded each of the numbers 1,183
and 1,145
to the nearest hundred. Which choice correctly compares the rounded numbers?
and 1,145
to the nearest hundred. Which choice correctly compares the rounded numbers?
Answers
GPT-4o mini
To round the numbers 1,183 and 1,145 to the nearest hundred:
1. For 1,183:
- The hundreds digit is 1 (representing 1,100), and the tens digit is 8.
- Since the tens digit (8) is 5 or greater, we round up.
- Therefore, 1,183 rounded to the nearest hundred is 1,200.
2. For 1,145:
- The hundreds digit is also 1 (representing 1,100), and the tens digit is 4.
- Since the tens digit (4) is less than 5, we round down.
- Thus, 1,145 rounded to the nearest hundred is 1,100.
Now, we compare the rounded numbers:
- 1,200 (rounded from 1,183)
- 1,100 (rounded from 1,145)
Since 1,200 is greater than 1,100, we can conclude:
**1,183 rounded to the nearest hundred (1,200) is greater than 1,145 rounded to the nearest hundred (1,100).**
1. For 1,183:
- The hundreds digit is 1 (representing 1,100), and the tens digit is 8.
- Since the tens digit (8) is 5 or greater, we round up.
- Therefore, 1,183 rounded to the nearest hundred is 1,200.
2. For 1,145:
- The hundreds digit is also 1 (representing 1,100), and the tens digit is 4.
- Since the tens digit (4) is less than 5, we round down.
- Thus, 1,145 rounded to the nearest hundred is 1,100.
Now, we compare the rounded numbers:
- 1,200 (rounded from 1,183)
- 1,100 (rounded from 1,145)
Since 1,200 is greater than 1,100, we can conclude:
**1,183 rounded to the nearest hundred (1,200) is greater than 1,145 rounded to the nearest hundred (1,100).**