Write each of the following decimals into expanded form :
243.689

Answer

To write the decimal 243.689 in expanded form, we will break down each digit according to its place value.

### Step-by-Step Solution:

1. **Identify the Whole Number Part**:
The whole number part of the decimal is 243. We will break this down into its place values:
- The digit '2' is in the hundreds place.
- The digit '4' is in the tens place.
- The digit '3' is in the units (or ones) place.

Therefore, we can express this part as:
- \(2 \times 100\) (for the hundreds place)
- \(4 \times 10\) (for the tens place)
- \(3 \times 1\) (for the units place)

2. **Identify the Decimal Part**:
The decimal part of the number is .689. We will break this down into its place values:
- The digit '6' is in the tenths place (1/10).
- The digit '8' is in the hundredths place (1/100).
- The digit '9' is in the thousandths place (1/1000).

Therefore, we can express this part as:
- \(6 \times \frac{1}{10}\) (for the tenths place)
- \(8 \times \frac{1}{100}\) (for the hundredths place)
- \(9 \times \frac{1}{1000}\) (for the thousandths place)

3. **Combine Both Parts**:
Now, we combine both the whole number part and the decimal part to write the expanded form of the decimal:
\[ 243.689 = 2 \times 100 + 4 \times 10 + 3 \times 1 + 6 \times \frac{1}{10} + 8 \times \frac{1}{100} + 9 \times \frac{1}{1000} \]

### Final Expanded Form:
Thus, the expanded form of the decimal 243.689 is:
\[ 2 \times 100 + 4 \times 10 + 3 \times 1 + 6 \times \frac{1}{10} + 8 \times \frac{1}{100} + 9 \times \frac{1}{1000} \]