Question

2*10*7 in commutative property

Answer 1

The commutative property states that the order in which two numbers are added or multiplied does not change the result.

For multiplication, the commutative property can be shown as follows:

Given the expression \( 2 \times 10 \times 7 \):

1. Arrange the numbers in a different order. For example:
- \( 10 \times 7 \times 2 \)
- \( 7 \times 2 \times 10 \)
- \( 2 \times 7 \times 10 \)

2. Calculate the product:
- \( 2 \times 10 \times 7 = 140 \)
- \( 10 \times 7 \times 2 = 140 \)
- \( 7 \times 2 \times 10 = 140 \)
- \( 2 \times 7 \times 10 = 140 \)

In all cases, the product remains the same: \( 140 \).

This demonstrates that multiplication is commutative.