Commutative laws
The commutative laws are a fundamental concept in mathematics that apply to various operations
The commutative laws are a fundamental concept in mathematics that apply to various operations. They state that the order in which two numbers are added or multiplied does not affect the final result.
1. Commutative Law of Addition:
This law states that for any two numbers a and b, the sum of a and b is the same regardless of the order in which they are added. In other words, a + b = b + a.
For example:
2 + 3 = 3 + 2 = 5
This law can be easily observed in everyday life. For instance, if you have 2 apples and someone gives you 3 more, it does not matter if you receive 2 apples first and then 3 or vice versa – the total number of apples will always be 5.
2. Commutative Law of Multiplication:
This law states that for any two numbers a and b, the product of a and b is the same regardless of the order in which they are multiplied. In other words, a * b = b * a.
For example:
4 * 5 = 5 * 4 = 20
Similarly, this law can be observed in various situations. If you have 4 boxes, and each box contains 5 items, the total number of items will be the same whether you multiply 4 by 5 or 5 by 4.
It is important to note that the commutative laws do not apply to all mathematical operations. Subtraction and division do not satisfy the commutative property. For instance, 5 – 2 is not the same as 2 – 5, and 10 ÷ 2 is not the same as 2 ÷ 10.
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