To determine which of the given numbers round to 200 when rounded to the nearest hundred, follow these steps for each number:
1. 193
- The hundreds digit is 1.
- The next digit (tens place) is 9.
- Since 9 is greater than or equal to 5, we round up.
- Thus, 193 rounded to the nearest hundred is 200.
2. [tex]$100 + 90 + 7$[/tex]
- Calculate the value: [tex]\(100 + 90 + 7 = 197\)[/tex].
- The hundreds digit is 1.
- The next digit (tens place) is 9.
- Since 9 is greater than or equal to 5, we round up.
- Thus, 197 rounded to the nearest hundred is 200.
3. [tex]$200 + 20$[/tex]
- Calculate the value: [tex]\(200 + 20 = 220\)[/tex].
- The hundreds digit is 2.
- The next digit (tens place) is 2.
- Since 2 is less than 5, we round down.
- Thus, 220 rounded to the nearest hundred is 200.
4. 264
- The hundreds digit is 2.
- The next digit (tens place) is 6.
- Since 6 is greater than or equal to 5, we round up.
- Thus, 264 rounded to the nearest hundred is 300.
5. 298
- The hundreds digit is 2.
- The next digit (tens place) is 9.
- Since 9 is greater than or equal to 5, we round up.
- Thus, 298 rounded to the nearest hundred is 300.
Based on this step-by-step rounding process, the numbers that round to 200 when rounded to the nearest hundred are:
- 193
- [tex]\(100 + 90 + 7\)[/tex] (which equals 197)
- [tex]\(200 + 20\)[/tex] (which equals 220)
So, the numbers 193, 197, and 220 are those that round to 200.
