multiplicative identity
The multiplicative identity is a mathematical property that states that when any number is multiplied by 1, the result is always that number itself
The multiplicative identity is a mathematical property that states that when any number is multiplied by 1, the result is always that number itself. In other words, 1 is the identity element for multiplication.
Formally, for any number ‘a’, the multiplicative identity can be expressed as:
a * 1 = a
No matter what the value of ‘a’ is, when it is multiplied by 1, the product will always be ‘a’. This property holds true for all real numbers, rational numbers, irrational numbers, and complex numbers.
For example, let’s consider the number 5. If we multiply 5 by 1, we get:
5 * 1 = 5
Similarly, if we consider the number -3:
-3 * 1 = -3
The multiplicative identity can also be applied to fractions or decimals. For instance, if we have the fraction 2/3:
(2/3) * 1 = 2/3
Or if we have the decimal 0.7:
0.7 * 1 = 0.7
The concept of the multiplicative identity is fundamental in mathematics, as it ensures that multiplication maintains its properties and operations can be carried out consistently.
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