Rational Numbers ( Part 2 Commutative property )
Commutative Property
The above examples clearly show that we can use flexible and recurring material assets. However, we cannot use flexible assets in extraction and segregation. When you move a numerical location by subtraction or division, it reverses the whole problem.
Therefore, if a and b are two wrong numbers, then:
Commutative property are:
a + b = b + a
Commutative property of multiplication are:
a × b = b × a
In short, in a variable environment, numbers can be added or repeated to each other in any order without changing the response.
Let's look at some examples to understand commutative property.
Example 1: Commutative property with addition
Myra has 5 marbles, and Rick has 3 marbles. How many marbles altogether?
To get the answer, we need to enter 5 and 3. So, we see that we add 5 + 3 or 3 + 5, the answer is always 8.
Example 2: Commutative property with subtraction.
Charles has 12 apples. He gives his sister eight apples. How many apples are left with Alvin?
Here, we subtract 8 from 12 and get the answer as 4 apples. However, we cannot subtract 12 from 8 and get 8 as a response.
Example 3: Commutative property with multiplication.
Sara buys 3 packets of buns. Each packet contains 4 buns. How many buns did you buy?
Here, if we multiply 3 by 4 or 4 by 3, in both cases we get the answer as 12 buns.
Therefore, the flexible material holds the repetition. So, commutative property is true for multiplication.
Example 4: Flexible material with a split.
If you have to split 25 strawberries out of 5 children, each child will get 5 strawberries. However, if you have to split 5 strawberries among 25 children, every child will get a small portion of strawberry. Therefore, we cannot use flexible and fragmented assets.
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