## Expanded Form

In order to find Expanded form of a number, we write the value of each of the digits in the number, according to its place value and express it as a sum of all these values. The steps involved are as under : –

- Step – 1 – Write the value of each of the digits in the number, according to its place value
- Step – 2 – Express the number, as the sum of all these values.

In other words, we can say that writing a number as the sum of the place value of the digits.

**Expanded Form Examples**

**Example 1**

Write expanded form of 54328?

**Explanation**

**Step – 1 **

In expanded form , we write the value of each of the digits, according to its place value

In 54328

5 is in ten thousands place.

5 x 10000 = 50000

4 is in thousands place.

4 x 1000 = 4000

3 is in hundreds place.

3 x 100 = 300

2 is in tens place.

2 x 10 = 20

8 is in ones place

8 x 1 = 8

**Step – 2**

If we add above results, we would get

50000 + 4000 + 300 + 20 + 8

**Example 2**

Write expanded form of 832492?

**Explanation**

**Step – 1**

In expanded form , we write the value of each of the digits, according to its place value

In 832492

8 is in lakhs place.

8 x 100000 = 800000

3 is in ten thousands place.

3 x 10000 = 30000

2 is in thousands place.

2 x 1000 = 2000

4 is in hundreds place.

4 x 100 = 400

9 is in tens place.

9 x 10 = 90

2 is in ones place

2 x 1 = 2

**Step – 2**

If we add above results, we would get

800000 + 30000 + 2000 + 400 + 90 + 2

**Example 3**

Write expanded form of 954836?

**Explanation**

**Step – 1**

In expanded form , we write the value of each of the digits, according to its place value

In 954836

9 is in lakhs place.

9 x 100000 = 900000

5 is in ten thousands place. 5 x 10000 = 50000

4 is in thousands place.

4 x 1000 = 4000

8 is in hundreds place.

8 x 100 = 800

3 is in tens place.

3 x 10 = 30

6 is in ones place

6 x 1 = 6

**Step – 2**

If we add above results, we would get Expanded form of 954836

900000 + 50000 + 4000 + 800 + 30 + 6

**Learn More…**

**Successor and Predecessor****What are Consecutive Numbers****Place Value****Standard form****Rounding off numbers to the nearest 10, 100 and 1000****What are Roman Numerals**

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