Write each of the following decimals into expanded form :
2314.57

Answer

To write the decimal 2314.57 in expanded form, we will break it down based on the place value of each digit.

**Step-by-Step Solution:**

1. **Identify the place values of each digit:**
- The digit '2' is in the thousands place (1000).
- The digit '3' is in the hundreds place (100).
- The digit '1' is in the tens place (10).
- The digit '4' is in the units place (1).
- The digit '5' is in the tenths place (1/10).
- The digit '7' is in the hundredths place (1/100).

2. **Write the expanded form using the identified place values:**
- For '2': \(2 \times 1000\)
- For '3': \(3 \times 100\)
- For '1': \(1 \times 10\)
- For '4': \(4 \times 1\)
- For '5': \(5 \times \frac{1}{10}\)
- For '7': \(7 \times \frac{1}{100}\)

3. **Combine all the terms:**
- The expanded form of 2314.57 is:
\[ 2 \times 1000 + 3 \times 100 + 1 \times 10 + 4 \times 1 + 5 \times \frac{1}{10} + 7 \times \frac{1}{100} \]

**Final Expanded Form:**
\[ 2314.57 = 2 \times 1000 + 3 \times 100 + 1 \times 10 + 4 \times 1 + 5 \times \frac{1}{10} + 7 \times \frac{1}{100} \]

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