Write the following decimals in expanded form.
76.08

Answer

To write the decimal 76.08 in expanded form, we will break it down based on the place values of each digit.

### Step-by-Step Solution:

1. **Identify the digits and their place values**:
- The number 76.08 consists of:
- 7 in the tens place
- 6 in the units (ones) place
- 0 in the tenths place
- 8 in the hundredths place

2. **Write each digit multiplied by its place value**:
- The digit 7 is in the tens place, so it represents \(7 \times 10\).
- The digit 6 is in the units place, so it represents \(6 \times 1\).
- The digit 0 is in the tenths place, so it represents \(0 \times \frac{1}{10}\).
- The digit 8 is in the hundredths place, so it represents \(8 \times \frac{1}{100}\).

3. **Combine these values**:
- Now we can write the expanded form as:
\[ 76.08 = (7 \times 10) + (6 \times 1) + (0 \times \frac{1}{10}) + (8 \times \frac{1}{100}) \]

4. **Simplify the expression**:
- Calculate each term:
- \(7 \times 10 = 70\)
- \(6 \times 1 = 6\)
- \(0 \times \frac{1}{10} = 0\)
- \(8 \times \frac{1}{100} = 0.08\)
- Therefore, we can express the expanded form as:
\[ 76.08 = 70 + 6 + 0 + 0.08 \]

5. **Final expanded form**:
- The final expanded form of 76.08 is:
\[ 76.08 = 70 + 6 + 0.08 \]