Question

Reviewing Expanded Form with Powers of 10

0.6
6 × 0.1

0.37
(3x ____) + (7×_____)

3.14
(3 x 1) + (1 x 0.1) + (4 x 0.01)

Answer 1

Let's review the expanded form with powers of 10 for the given decimal numbers:

### 1. 0.6
In expanded form with powers of 10, 0.6 can be expressed as:
- \( 0.6 = 6 \times 0.1 \)

### 2. 0.37
For 0.37, we can break it down into its components:
- The digit "3" is in the tenths place, so it represents \( 3 \times 0.1 \).
- The digit "7" is in the hundredths place, so it represents \( 7 \times 0.01 \).

Putting it together:
- \( 0.37 = (3 \times 0.1) + (7 \times 0.01) \)

### 3. 3.14
For 3.14, we break it down as follows:
- The digit "3" is in the units place, so it represents \( 3 \times 1 \).
- The digit "1" is in the tenths place, so it represents \( 1 \times 0.1 \).
- The digit "4" is in the hundredths place, so it represents \( 4 \times 0.01 \).

Putting it together:
- \( 3.14 = (3 \times 1) + (1 \times 0.1) + (4 \times 0.01) \)

### Summary
- **0.6**: \( 6 \times 0.1 \)
- **0.37**: \( (3 \times 0.1) + (7 \times 0.01) \)
- **3.14**: \( (3 \times 1) + (1 \times 0.1) + (4 \times 0.01) \)

Feel free to ask if you have any questions or need further clarifications!