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