Expanded Form Class 2 & 3 - Maths kkgoenka

Expanded Form of a Number

By Aashish Gupta Sir

Class 2

Expanded Form of a Number

Expanded form of a number is simply the sum of place value of different digits of a numeral.

Place Value of a number = Number × Value of that place

Steps :

1. Write given number in place value chart.

2. Write each Digit with its place and put addition sign.

3. Multiply each Digit with value of the place.

2- Digit Number

Example 1.
Write the expanded form of 45.

5 is at Ones Place and Value at Ones place is 1 times.

4 is at Tens Place and Value at Tens place is 10 times.

So
45 = 4 Tens + 5 Ones
= 4 × 10 + 5 × 1
= 40 + 5

3 - Digit Number

Example 2.
Write the expanded form of 618.

8 is at Ones Place and Value at Ones place is 1 times.

1 is at Tens Place and Value at Tens place is 10 times.

6 is at Hundreds Place and Value at Hundreds place is 100 times.

So
618 = 6 Hundreds + 1 Tens   + 8 Ones
         = 6 × 100         +   1 × 10   + 8 × 1
         = 600    +   10    +    8

Exercise

Q.A. Write expanded form of the given numbers.

a) 34

b) 67

c) 80

d) 91

e) 52

f) 235

g) 761

h) 928

i) 903

j) 862

Class 3

4 - Digit Number

Example 3.
Write the expanded form of 5028.

8 is at Ones Place and Value at Ones place is 1 times.

2 is at Tens Place and Value at Tens place is 10 times.

0 is at Hundreds Place and Value at Hundreds place is 100 times.

5 is at Thousands Place and Value at Thousands place is 1000 times.

So
5028 = 5 Thousands + 0 Hundreds + 2 Tens   + 8 Ones
            = 5 × 1000   + 0 × 100 +   2 × 10   + 8 × 1
            = 5000   +   0    +   20    +    8

Exercise

Q.A. Write expanded form of the given numbers.

a) 215

b) 608

c) 889

d) 836

e) 710

f) 5638

g) 8519

h) 9708

i) 5133

j) 8888