Question

Find the sum of multiplicative inverse of  -  4/5  and the additive inverse of  -3/2​

Answer 1

$\begin{gathered}\large {\boxed{\sf{\mid{\overline {\underline {\star ANSWER ::}}}\mid}}}\end{gathered}$

Concept :-

MULTIPLICATIVE INVERSE :

• A multiplicative inverse or reciprocal for a number x, denoted by 1/x or x⁻¹.

ADDITIVE INVERSE :

• The additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite (number), sign change, and negation.

Solution :-

i) Multiplicative inverse of  - 4/5 :

⟼ - 5/4

ii) additive inverse of  - 3/2 :

⟼ 3/2

Points To Remember :-

• In multiplicative inverse, the sign never changes, only the numerator and denominator interchanges.
• In additive inverse, the sign changes (positive to negative and negative to positive), but the numerator and denominator remain the same

@SweetestBitter