When rounding to the nearest ten-thousand, we look at the number in the thousands place to decide whether the number will round up or down.
For the first number, 34,923:
- We look at the thousands place (4), and since it is less than 5, we round down to the nearest ten-thousand.
- Thus, the number 34,923 rounded to the nearest ten-thousand is 30,000.
For the second number, 35,210:
- We look at the thousands place (5), and since it is 5 or more, we round up to the nearest ten-thousand.
- So, the number 35,210 rounded to the nearest ten-thousand is 40,000.
Now that we have both numbers rounded to the nearest ten-thousand, we can compare them:
- 30,000 (rounded from 34,923)
- 40,000 (rounded from 35,210)
Between 30,000 and 40,000, the larger number is 40,000. Therefore, the number 35,210 is larger than 34,923 when rounding to the nearest ten-thousand.
