Question

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

Answer 1

Answer:

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Cut two strips each of length 4 units from a grid paper and shade them with different colour (say Blue). For representing 3 + 4, paste one strip of length 3 units and then paste another strip of length 4 units in the same line on the grid paper without leaving any gap

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Answer 2

Multiplication is a commutative property for all whole numbers.

Given:

Multiplication is commutative for all whole numbers.

To Find:

We need to prove that by paper cutting and pasting.

Solution:

To go with the activity, we need to have a grid paper.

Let us prove this by taking an example:

suppose we want to prove that

$2 \times 3 = 3 \times 2$

Now take a paper of some color and cut two strips each containing 3 blocks.

Now take another piece of paper of different colors and cut three strips each containing 2 blocks.

Now paste both paper strips on the grid paper.

Count the number of blocks in each color paper.

We will find that the number of blocks is the same.

Verify this activity, for other whole numbers too.

Hence, multiplication is commutative property.

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