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!