Writing a number in expanded form just means that we are showing the value of each digit in that number.

This form is handy because it shows what a number really means by defining each of its digits.

**Formula to write numbers in expanded form.**

- First you need to know the place value of each digit in the number.
- Then their total value, which is what expansion of numbers is based on.

Total value is the product of the digit and its place value.

**Example:**

Expand 3,532.

3 thousands

5 hundreds

3 tens

2 ones

Therefore, to expand this number we multiply each number by its place value.

**= 3 x 1,000**

**= 3,0000**

**= 5 x 100**

**= 500**

**= 3 x 10**

**= 30**

**= 2 x 1**

**= 2**

Hence 3,532 in expanded form is;

**3000**

**500**

**30**

** 2**