To organize the given sets of numbers in ascending order, we'll follow a detailed step-by-step process for each set.
### Step-by-Step Solution
#### a) [tex]\( 6.380, 7.436, 6.830 \)[/tex]
1. List the numbers:
- 6380
- 7436
- 6830
2. Compare each pair:
- Compare 6380 and 7436: 6380 is smaller.
- Compare 6380 and 6830: 6380 is smaller.
- Compare 6830 and 7436: 6830 is smaller.
3. Arrange in ascending order:
- 6380 comes first because it is the smallest.
- 6830 comes next.
- 7436 comes last because it is the largest.
4. Final ordered list:
- 6380, 6830, 7436
#### b) [tex]\( 2.295, 5.483, 7.381 \)[/tex]
1. List the numbers:
- 2295
- 5483
- 7381
2. Compare each pair:
- Compare 2295 and 5483: 2295 is smaller.
- Compare 2295 and 7381: 2295 is smaller.
- Compare 5483 and 7381: 5483 is smaller.
3. Arrange in ascending order:
- 2295 comes first because it is the smallest.
- 5483 comes next.
- 7381 comes last because it is the largest.
4. Final ordered list:
- 2295, 5483, 7381
#### c) [tex]\( 4.762, 9.342, 6.784 \)[/tex]
1. List the numbers:
- 4762
- 9342
- 6784
2. Compare each pair:
- Compare 4762 and 9342: 4762 is smaller.
- Compare 4762 and 6784: 4762 is smaller.
- Compare 6784 and 9342: 6784 is smaller.
3. Arrange in ascending order:
- 4762 comes first because it is the smallest.
- 6784 comes next.
- 9342 comes last because it is the largest.
4. Final ordered list:
- 4762, 6784, 9342
### Summary
So, the sets of numbers in ascending order are:
- [tex]\( a \)[/tex] set: 6380, 6830, 7436
- [tex]\( b \)[/tex] set: 2295, 5483, 7381
- [tex]\( c \)[/tex] set: 4762, 6784, 9342
