Multiplicative Inverse at Algebra Den

Arithmetic

Additive Identity
Arithmetic Progression
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Distributivity of Multiplication over Addition
Divisibility Principles
Equality
Exponents
Factors
Fractions
Fundamental Operations
H.C.F / G.C.D
Integers
L.C.M
Multiples
Multiplicative Identity
Multiplicative Inverse
Numbers
Percentages
Profit and Loss
Ratio and Proportion
Simple Interest
Square Root
Unitary Method

Algebra

Cartesian System
Order Relation
Polynomials
Probability
Standard Identities & their applications
Transpose

Geometry

Basic Geometrical Terms
Circle
Curves
Angles
Define Line, Line Segment and Rays
Non-Collinear Points
Parallelogram
Rectangle
Rhombus
Square
Three dimensional object
Trapezium
Triangle
Quadrilateral

Trigonometry

Trigonometry Ratios

Data-Handling

Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range

Videos
Solved Problems

Home >> Multiplicative Inverse >>

Multiplicative Inverse

Rule 1 Rule 2

Definition:
Multiplicative Inverse consists of two words:
Multiplicative means to multiply
Inverse means in reverse order.

Multiplicative Inverse together means to multiply in reverse order.

Let's consider the following expression:
2 X 5
7

Now, multiplicative inverse of the above expression is:
2 X 7
5

Some rules associated with Multiplicative Inverse are discussed in following ways :-

Rule 1 = If product of two Fractional Numbers is equal to 1, then each of the Fractional Numbers is the Multiplicative Inverse of other.

Rule 2 = If the product of a Fractional Number and a Whole Number is equal to 1, then each is the Multiplicative Inverse of other.

Rule 3 = Multiplicative Inverse of 1 is also 1.

Rule 4 = Multiplicative Inverse of 0 (zero) does not exists

Rule 1 and Rule 2 are further explained with examples in above respective links.