A number composed of the sum of the place-values of its digits is called an expanded form of a number. Learn how a number can be expanded using the place values of its digits. We have given the process to expand a number and with different examples. All the examples are given along with the explanation. Practice all the problems available here and get a grip on the expanded form a number concept.

## How to Expand a Number?

Check out the below steps to learn how to expand the number. Following these simple steps, you can expand a number easily. They are as follows

1. Firstly, take the unit place of a number and multiply it with 1.

2. Take the next number left to it and multiply it by 10.

3. Repeat the same process by increasing the 0 in the multiplicand.

**Example: Write the expanded form for the number 2385?**

Solution:

The given number is 2385.

Firstly, multiply the number 5 with 1. 5 × 1 = 5.

Multiply 8 with 10. 8 × 10 = 80.

Next, Multiply 3 with 100. 3 × 100 = 300.

Multiply 2 with 1,000. 2 × 1,000 = 2,000.

Add all the numbers to get the number.

2,000 + 300 + 80 + 5 = 2385.

Here, 2385 is the standard form and 2,000 + 300 + 80 + 5 is the expanded form.

### Expanded Form of Numbers Examples

**1. Write the expanded form for the number 70,34,51,395?**

Solution:

The given number is 70,34,51,395.

Firstly, multiply the number 5 with 1. 5 × 1 = 5.

Multiply 9 with 10. 9 × 10 = 90.

Next, Multiply 3 with 100. 3 × 100 = 300.

Multiply 1 with 1000. 1 × 1000 = 1000.

Multiply 5 with 10000. 5 × 10000 = 50000.

Also, Multiply 4 with 100000. 4 × 100000 = 400000.

Multiply 3 with 1000000. 3 × 1000000 = 3000000.

Multiply 0 with 10000000. 0 × 10000000 = 0.

Next, Multiply 7 with 100000000. 7 × 100000000 = 700000000.

Add all the numbers to get the number.

700000000 + 0 + 3000000 + 400000 + 50000 + 1000 + 300 + 90 + 5 = 70,34,51,395.

Here, 70,34,51,395 is the standard form and 700000000 + 0 + 3000000 + 400000 + 50000 + 1000 + 300 + 90 + 5 is the expanded form.

**2. Write the number in figures and then in words for the following expanded form**

(i) 70000 + 6000 + 400 + 40 + 6

Solution:

Given expanded form is 70000 + 6000 + 400 + 40 + 6

Add the values to get a expanded form.

76446 (in figures)

Seventy-six thousand four hundred forty-six (in words)

(ii) 200000 + 40000 + 3000 + 20 + 7

Solution:

Given expanded form is 200000 + 40000 + 3000 + 20 + 7

Add the values to get an expanded form.

24327 (in figures)

Twenty-four thousand three hundred twenty-seven (in words)

**3. Write in expanded form**

(i) 39369

Solution:

The given number is 39369.

Firstly, multiply the number 9 with 1. 9 × 1 = 9.

Multiply 6 with 10. 6 × 10 = 60.

Next, Multiply 3 with 100. 3 × 100 = 300.

Multiply 9 with 1000. 9 × 1000 = 9000.

Multiply 3 with 10000. 3 × 10000 = 30000.

Add all the numbers to get the number.

30000 + 9000 + 300 + 60 + 9 = 39369.

Here, 39369 is the standard form and 30000 + 9000 + 300 + 60 + 9 is the expanded form.

(ii) 528,358

Solution:

The given number is 528,358.

Firstly, multiply the number 8 with 1. 8 × 1 = 8.

Multiply 5 with 10. 5 × 10 = 50.

Next, Multiply 3 with 100. 3 × 100 = 300.

Multiply 8 with 1000. 8 × 1000 = 8000.

Multiply 2 with 10000. 2 × 10000 = 20000.

Also, Multiply 5 with 100000. 5 × 100000 = 500000.

Add all the numbers to get the number.

500000 + 20000 + 8000 + 300 + 50 + 5 = 528,358.

Here, 528,358 is the standard form and 500000 + 20000 + 8000 + 300 + 50 + 5 is the expanded form.

### Examples on Writing a Number in Expanded Form

**I. Write the expanded form for the given numbers**

(i) 6,01,217

(ii) 7,06,283

(iii) 5,33,786

(iv) 4,84,848

(v) 8,33,004

Solution

(i) The given number is 6,01,217.

Firstly, multiply the number 7 with 1. 7 × 1 = 7.

Multiply 1 with 10. 1 × 10 = 10.

Next, Multiply 2 with 100. 2 × 100 = 200.

Multiply 1 with 1000. 1 × 1000 = 1000.

Multiply 0 with 10000. 0 × 10000 = 0.

Also, Multiply 6 with 100000. 6 × 100000 = 600000.

Add all the numbers to get the number.

600000 + 0+ 1000 + 200 + 10 + 7 = 6,01,217.

Here, 6,01,217 is the standard form and 600000 + 0+ 1000 + 200 + 10 + 7 is the expanded form.

(ii) The given number is 7,06,283.

Firstly, multiply the number 3 with 1. 3 × 1 = 3.

Multiply 8 with 10. 8 × 10 = 80.

Next, Multiply 2 with 100. 2 × 100 = 200.

Multiply 6 with 1000. 6 × 1000 = 6000.

Multiply 0 with 10000. 0 × 10000 = 0.

Also, Multiply 7 with 100000. 7 × 100000 = 700000.

Add all the numbers to get the number.

700000 + 0 + 6000 + 200 + 80 + 3 = 7,06,283.

Here, 7,06,283 is the standard form and 700000 + 0 + 6000 + 200 + 80 + 3 is the expanded form.

(iii) The given number is 5,33,786.

Firstly, multiply the number 6 with 1. 6 × 1 = 6.

Multiply 8 with 10. 8 × 10 = 80.

Next, Multiply 7 with 100. 7 × 100 = 700.

Multiply 3 with 1000. 3 × 1000 = 3000.

Multiply 3 with 10000. 3 × 10000 = 30000.

Also, Multiply 5 with 100000. 5 × 100000 = 500000.

Add all the numbers to get the number.

500000 + 30000 + 3000 + 700 + 80 + 6 = 5,33,786.

Here, 5,33,786 is the standard form and 500000 + 30000 + 3000 + 700 + 80 + 6 is the expanded form.

(iv) The given number is 4,84,848.

Firstly, multiply the number 8 with 1. 8 × 1 = 8.

Multiply 4 with 10. 4 × 10 = 40.

Next, Multiply 8 with 100. 8 × 100 = 800.

Multiply 4 with 1000. 4 × 1000 = 4000.

Multiply 8 with 10000. 8 × 10000 = 80000.

Also, Multiply 4 with 100000. 4 × 100000 = 400000.

Add all the numbers to get the number.

400000 + 80000 + 4000 + 800 + 40 + 8 = 4,84,848.

Here, 4,84,848 is the standard form and 400000 + 80000 + 4000 + 800 + 40 + 8 is the expanded form.

(v) The given number is 8,33,004.

Firstly, multiply the number 4 with 1. 4 × 1 = 4.

Multiply 0 with 10. 0 × 10 = 0.

Next, Multiply 0 with 100. 0 × 100 = 0.

Multiply 3 with 1000. 3 × 1000 = 3000.

Multiply 3 with 10000. 3 × 10000 = 30000.

Also, Multiply 8 with 100000. 8 × 100000 = 800000.

Add all the numbers to get the number.

800000 + 30000 + 3000 + 0 + 0 + 4 = 8,33,004.

Here, 8,33,004 is the standard form and 800000 + 30000 + 3000 + 0 + 0 + 4 is the expanded form.

**II. Write the given number in standard form**

(i) 40,000 + 3,000 + 600 + 3

(ii) 3,00,000 + 70,000 + 5,000 + 600 + 40

(iii) 7,00,000 + 50,000 + 3,000 + 200 + 80 + 4

(iv) 6,00,000 + 20,000 + 7,000 + 300 + 40 + 6

(v) 2,00,000 + 30,000 + 4,000 + 300 + 20 + 3

(vi) 8,00,000 + 3

Solution:

(i) Given expanded form is 40,000 + 3,000 + 600 + 3

Add the values to get an expanded form.

43603 (in figures)

Forty-three thousand six hundred three (in words)

(ii) Given expanded form is 3,00,000 + 70,000 + 5,000 + 600 + 40

Add the values to get a expanded form.

375640 (in figures)

Three hundred seventy-five thousand six hundred forty (in words)

(iii) Given expanded form is 7,00,000 + 50,000 + 3,000 + 200 + 80 + 4

Add the values to get an expanded form.

753284 (in figures)

Seven hundred fifty-three thousand two hundred eighty-four (in words)

(iv) Given expanded form is 6,00,000 + 20,000 + 7,000 + 300 + 40 + 6

Add the values to get a expanded form.

627346 (in figures)

Six hundred twenty-seven thousand three hundred forty-six (in words)

(iv) Given expanded form is 2,00,000 + 30,000 + 4,000 + 300 + 20 + 3

Add the values to get a expanded form.

234323 (in figures)

Two hundred thirty-four thousand three hundred twenty-three (in words)

(v) Given expanded form is 8,00,000 + 3

Add the values to get an expanded form.

8,00,003 (in figures)

Eight hundred thousand three (in words)