describe commutated property and distributed property under addition and multiplication with example
Answers
Answer:
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Step-by-step explanation:
The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is "a + b = b + a"; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is "ab = ba"; in numbers, this means 2×3 = 3×2.
To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Here’s an example of how the result does not change when solved normally and when solved using the distributive property.
( 5 + 7 + 3 ) x 4
= 15 x 4
= 60
or
( 5 + 7 + 3 ) x 4
= 5 x 4 + 7 x 4 + 3 x 4
= 60