Prior to learning how to write numbers in expanded form, let us understand the term expanded form first. 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 1:**

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**

**Example 2:**

Expand 212,786

**2 hundreds of thousand**

**1 tens of thousand**

**2 thousands**

**7 hundreds**

**8 tens**

**6 ones**

To expand this number we multiply each number by its place value.

**2 x 100,000**

**= 200,000**

**1 x 10,000**

**= 10,000**

**2 x 1,000**

**=2,000**

**7 x 100**

**= 700**

**8 x 10**

**= 80**

**6 x 1**

**= 6**

Hence 212786 in expanded form is;

**200,000**

**10,000**

**2,000**

**700**

**80**

**6**