Write each of the following decimals into expanded form :
9.3578

Answer

To write the decimal 9.3578 in expanded form, we will break it down according to the place value of each digit.

### Step-by-Step Solution:

1. **Identify the digits and their place values**:
- The digit '9' is in the units place (1).
- The digit '3' is in the tenths place (1/10).
- The digit '5' is in the hundredths place (1/100).
- The digit '7' is in the thousandths place (1/1000).
- The digit '8' is in the ten-thousandths place (1/10,000).

2. **Write each digit multiplied by its place value**:
- For the digit '9': \( 9 \times 1 \)
- For the digit '3': \( 3 \times \frac{1}{10} \)
- For the digit '5': \( 5 \times \frac{1}{100} \)
- For the digit '7': \( 7 \times \frac{1}{1000} \)
- For the digit '8': \( 8 \times \frac{1}{10000} \)

3. **Combine all these values**:
- The expanded form of 9.3578 is:
\[ 9 \times 1 + 3 \times \frac{1}{10} + 5 \times \frac{1}{100} + 7 \times \frac{1}{1000} + 8 \times \frac{1}{10000} \]

### Final Expanded Form:
\[ 9.3578 = 9 \times 1 + 3 \times \frac{1}{10} + 5 \times \frac{1}{100} + 7 \times \frac{1}{1000} + 8 \times \frac{1}{10000} \]