To write the number 796.384 in expanded form, we need to break it down into its integer and decimal components and express each part separately. Let's analyze this number step by step:
1. Hundreds Place:
- The number 796 has its hundreds place occupied by 700.
2. Tens Place:
- The number 796 has its tens place occupied by 90.
3. Ones Place:
- The number 796 has its ones place occupied by 6.
Next, we address the decimal part:
4. Tenths Place:
- In the decimal part 0.384, the tenths place is occupied by 0.3.
5. Hundredths Place:
- In the decimal part 0.384, the hundredths place is occupied by 0.08.
6. Thousandths Place:
- In the decimal part 0.384, the thousandths place is occupied by 0.004.
Combining all these components, the number 796.384 in expanded form is:
```
700 + 90 + 6 + 0.3 + 0.08 + 0.004
```
