Class 06 To verify that multiplication is commutative for whole numbers by paper cutting and pasting

 ACTIVITY – WHOLE NUMBERS 

Objective: 

To verify that multiplication is commutative for whole numbers by paper cutting and pasting.

Materials Required: 

Squared paper, colour pencils, a pair of scissors, glue stick, geometry box,etc.

Procedure:

On a squared paper, colour 4 rows and 5columns black as shown.

Similarly, colour 5 rows and 4 columns red as shown. 

ACTIVITY – WHOLE NUMBERS 

3. Cut the two coloured portions and paste them together as shown below.

ACTIVITY – WHOLE NUMBERS 

4. Repeat steps 1 to 3 to multiply 10 and 6. 

ACTIVITY – WHOLE NUMBERS 

Observations:

In figure, there are 4 rows and 5 columns.

 Also, total black coloured squares are 20. 

So, it shows 4 x 5 = 20

2. In figure, there are 5 rows and 4 columns. 

Also, total red coloured squares are 20. 

So, it shows 5 x 4 = 20.

Thus, we have 4 x 5 = 5 x 43. 

Similarly, from figures, we can say that 10 x 6 = 6 x 10.

Conclusion: 

From the above activity, we can say that multiplication of whole numbers is commutative or two whole numbers can be multiplied in any order, the product remains the same.

Do Yourself:

 Verify the commutative property of multiplication of whole numbers by taking the following pairs of whole numbers.

2 and 6

4 and 3

 8 and 3

 5 and 9

7 and 5