prove that imitative property holds true for multplication
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Answer:
Properties of Multiplication. There are four properties involving multiplication that will help make problems easier to solve. They are the commutative, associative, multiplicative identity and distributive properties. Multiplicative Identity Property: The product of any number and one is that number.
Commutative property of multiplication: Changing the order of factors does not change the product. For example, 4 \times 3 = 3 \times 44×3=3×44, times, 3, equals, 3, times, 4.
Associative property of multiplication: Changing the grouping of factors does not change the product. For example, (2 \times 3) \times 4 = 2 \times (3 \times 4)(2×3)×4=2×(3×4)left parenthesis, 2, times, 3, right parenthesis, times, 4, equals, 2, times, left parenthesis, 3, times, 4, right parenthesis. up
Identity property of multiplication: The product of 111 and any number is that number. For example, 7 \times 1 = 77×1=77, times, 1, equals, 7.
Commutative property of multiplication
The commutative property of multiplication says that changing the order of factors does not change the product. Here's an example:
4 \times 3 = 3 \times 44×3=3×44, times, 3, equals, 3, times, 4
Notice how both products are 121212 even though the ordering is reversed.
Here's another example with more factors:
1 \times 2 \times 3 \times 4 = 4 \times 3 \times 2 \times 11×2×3×4=4×3×2×11, times, 2, times, 3, times, 4, equals, 4, times, 3, times, 2, times, 1
Notice that both products are 242424.