commutative property of multiplication
The commutative property of multiplication is one of the fundamental properties in Mathematics
The commutative property of multiplication is one of the fundamental properties in Mathematics. It states that changing the order of numbers being multiplied does not alter the result. In other words, for any two numbers, a and b, the product of a multiplied by b is equal to the product of b multiplied by a.
Mathematically, it can be expressed as:
a * b = b * a
Here are a few examples to illustrate this property:
Example 1:
Let’s take two numbers a = 5 and b = 2.
5 * 2 = 10
2 * 5 = 10
As we can see, regardless of the order of multiplication, the result is the same – 10.
Example 2:
Consider two different numbers a = 7 and b = 3.
7 * 3 = 21
3 * 7 = 21
Again, irrespective of the order, the product is the same – 21.
The commutative property of multiplication can be used to simplify expressions, especially when they involve multiple numbers being multiplied together. By rearranging the order of multiplication, it may become easier to calculate or work with the numbers.
However, it is important to note that the commutative property does not apply to all mathematical operations. For example, subtraction and division do not follow this property. The order of subtraction and division affects the result.
In summary, the commutative property of multiplication states that the order of numbers being multiplied does not change the result of the multiplication. It is a foundational concept in Mathematics and can be used to simplify calculations and problems.
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