Arithmetic
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
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
Algebraic Equation
Algebraic Expression
Cartesian System
Linear Equations
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
Trigonometry
Trigonometry Ratios
Data-Handling
Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range
Home >> Closure Property >> Multiplication of Integers >>

## Closure Property (Multiplication of Intergers)

 Addition of Whole Numbers Addition of Integers Subtraction of Whole Numbers Subtraction of Integers Multiplication of Whole Numbers Multiplication of Integers Division of Whole Numbers Division of Integers

Before understanding this topic you must know What is Multiplication of Integers ?

Explanation
Integers are closed under Multiplication, which mean that multiplication of integers will also give integers.

Following examples further explains this property :-

Example 1 = Explain Closure Property under multiplication with the help of given integers 10 and 5
Answer = Find the product of given Integers ;
10 × 5 = 50
Since the product of 10 and 5 is equals to 50 and 50 is a positive integer,
So, we can say that Integers are closed under Multiplication

Example 2 = Explain Closure Property under multiplication with the help of given integers (-1) and 23
Answer = Find the product of given Integers ;
(-1) × 23 = (-23)
Since the product of (-1) and 23 gives us (-23) and (-23) is a negative integer,
So, we can say that Integers are closed under Multiplication

Example 3 = Explain Closure Property under multiplication with the help of given integers (-10) and (-69)
Answer = Find the product of given Integers ;
(-10) × (-69) = (-690)
Since the product of (-10) and (-69) gives us (-690) and (-690) is a negative integer,
So, we can say that Integers are closed under Multiplication

Example 4 = Explain Closure Property under multiplication with the help of given integers 20 and (-5)
Answer = Find the product of given Integers ;
20 × (-5) = (-100)
Since the product of 20 and (-5) is equals to (-100) and (-100) is a negative integer,
So, we can say that Integers are closed under Multiplication