Answer :
To solve this problem, we need to determine which numbers round to 180,000 when rounded to the nearest ten thousand. Let's go through the rounding process for each number step-by-step.
### Rounding Rule:
When rounding to the nearest ten thousand, we look at the digit in the thousands place:
- If this digit is 5 or greater, we round up.
- If this digit is less than 5, we round down.
### Let's apply this rule to each number:
1. 183,695
- Thousands digit: 3
- Since 3 < 5, we round down.
- Rounded to nearest ten thousand: 180,000
2. 186,093
- Thousands digit: 6
- Since 6 ≥ 5, we round up.
- Rounded to nearest ten thousand: 190,000
3. 175,803
- Thousands digit: 5
- Since 5 ≥ 5, we round up.
- Rounded to nearest ten thousand: 180,000
4. 172,889
- Thousands digit: 2
- Since 2 < 5, we round down.
- Rounded to nearest ten thousand: 170,000
5. 174,985
- Thousands digit: 4
- Since 4 < 5, we round down.
- Rounded to nearest ten thousand: 170,000
6. 185,432
- Thousands digit: 5
- Since 5 ≥ 5, we round up.
- Rounded to nearest ten thousand: 190,000
The two numbers that round to 180,000 when rounded to the nearest ten thousand are 183,695 and 175,803.
### Rounding Rule:
When rounding to the nearest ten thousand, we look at the digit in the thousands place:
- If this digit is 5 or greater, we round up.
- If this digit is less than 5, we round down.
### Let's apply this rule to each number:
1. 183,695
- Thousands digit: 3
- Since 3 < 5, we round down.
- Rounded to nearest ten thousand: 180,000
2. 186,093
- Thousands digit: 6
- Since 6 ≥ 5, we round up.
- Rounded to nearest ten thousand: 190,000
3. 175,803
- Thousands digit: 5
- Since 5 ≥ 5, we round up.
- Rounded to nearest ten thousand: 180,000
4. 172,889
- Thousands digit: 2
- Since 2 < 5, we round down.
- Rounded to nearest ten thousand: 170,000
5. 174,985
- Thousands digit: 4
- Since 4 < 5, we round down.
- Rounded to nearest ten thousand: 170,000
6. 185,432
- Thousands digit: 5
- Since 5 ≥ 5, we round up.
- Rounded to nearest ten thousand: 190,000
The two numbers that round to 180,000 when rounded to the nearest ten thousand are 183,695 and 175,803.
