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 the order in which you multiply two or more numbers does not change the result.
In other words, if you have two numbers a and b, then according to the commutative property of multiplication:
a * b = b * a
Let’s look at an example to illustrate this property. Consider the numbers 3 and 4. When we multiply them in one order:
3 * 4 = 12
And if we multiply them in the reverse order:
4 * 3 = 12
As you can see, regardless of the order of multiplication, the result is the same. This is because the commutative property of multiplication guarantees that the outcome will not change.
This property can also be extended to more than two numbers. For example, if we have three numbers a, b, and c, then:
a * b * c = c * b * a = b * c * a
This property is very handy in simplifying expressions and solving equations, as it allows us to rearrange the order of multiplication without affecting the final result.
It is worth noting that the commutative property does not hold for all operations. For example, subtraction and division do not follow this property. Therefore, it is specific to multiplication only.
In summary, the commutative property of multiplication states that the order in which you multiply numbers does not alter the result. This property is extremely useful in simplifying expressions and solving equations.
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