Answer:
The multiplicative inverse of y is [tex]\frac{1}{y}[/tex].
Step-by-step explanation:
Multiplicative inverse implies a value that you would multiply with the given value so as to give 1.
Let the multiplicative inverse of y be represented by a, so that;
a x y = 1
ay = 1
divide both sides by y to have,
a = [tex]\frac{1}{y}[/tex]
Thus, the multiplicative inverse of y is [tex]\frac{1}{y}[/tex].
This is applicable to any given value. Examples:
i. Given 2, the multiplicative inverse is [tex]\frac{1}{2}[/tex].
⇒ 2 x [tex]\frac{1}{2}[/tex] = 1
ii. What is the multiplicative inverse of 5?
The required answer is [tex]\frac{1}{5}[/tex].