Writing a number in expanded form involves breaking it down into its place values and writing it as a sum of each digit multiplied by its corresponding power of ten. Here’s how to do it:

1. **Identify the place value of each digit** in the number.
2. **Multiply each digit by its place value**.
3. **Write the number as a sum** of these products.

### Example
Let’s take the number 4,567 as an example.

1. The place values are:
- 4 in the thousands place
- 5 in the hundreds place
- 6 in the tens place
- 7 in the ones place

2. Multiplying each digit by its place value:
- 4 × 1,000 = 4,000
- 5 × 100 = 500
- 6 × 10 = 60
- 7 × 1 = 7

3. Writing it as a sum:
- 4,567 = 4,000 + 500 + 60 + 7

### Another Example
For a number with a decimal, like 3,482.56:

1. The place values are:
- 3 in the thousands place
- 4 in the hundreds place
- 8 in the tens place
- 2 in the ones place
- 5 in the tenths place
- 6 in the hundredths place

2. Multiplying each digit by its place value:
- 3 × 1,000 = 3,000
- 4 × 100 = 400
- 8 × 10 = 80
- 2 × 1 = 2
- 5 × 0.1 = 0.5
- 6 × 0.01 = 0.06

3. Writing it as a sum:
- 3,482.56 = 3,000 + 400 + 80 + 2 + 0.5 + 0.06


#math #expandedform #mathoguide