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














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