Home
Additive Identity
Algebraic Expression
Arithmetic Expression
Associative Property
Averages
Brackets
Closure Property
Coefficient Of Variable
Commutative Property
Constants
Divisibility Principles
Factors
Fractions
H.C.F / G.C.D
Integers
L.C.M
Multipication Properties of Numbers
Multiples
Multiplicative Identity
Multiplicative Inverse
Numbers
Order of Numbers
Percentages
Profit and Loss
Ratio and Proportion
Sieve of Eratosthenes
Unitary Method
Variables
| Closure Property (Subtraction of Whole Numbers) Closure Property (Addition of Whole Numbers) | Closure Property (Division of Whole Numbers) | Closure Property (Multipication of Whole Numbers) | Closure Property (Subtraction of Whole Numbers) | Explanation :-
System of whole numbers is not closed under subtraction, this means that the difference of any two whole numbers is not always a whole number. This is known as Closure Property for Subtraction of Whole Numbers
Read the following terms and you can futher understand this property
7 - 4 = 3, Result is a whole number.....(1)
18 - 18 = 0, Result is a whole number.....(2)
17 - 2 = 15, Result is a whole number.....(3)
2 - 4 = -2, Result is not a whole number.....(4)
19 - 18 = -1, Result is not a whole number.....(5)
From the above terms (1), (2) and (3), we notice that the difference of whole numbers is also a whole number.
But also from the above terms (4) and (5), we notice that the difference of whole numbers is not a whole number(i.e they are Integers).
Hence, it can be concluded that difference of two whole numbers is not always a whole number.
|