Closure Property (Subtraction of Integers) : Solved Examples

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

Observe the following table. 10 - 9 = 1 It's a positive integers -67 - 90 = ?? ?? -100 - -245 = ?? ?? 85 - -543 = ?? ?? 23 - 54 = ?? ?? First row is solved; try solving all the other rows in similar manner. What do you understand by studying the entire table? After solving the entire table we get; 10 - 9 = 1 It's a positive integer -67 - 90 = -157 It's a negative integer -100 - -245 = 145 It's a positive integer 85 - -543 = 628 It's a positive integer 23 - 54 = -31 It's a negative integer Observation You must have observed that in red we have integers. And their respective difference (which is in green) is also integer either positive integer or negative integer. So, we get that subtraction of integers also give us integers. And this property is known as "Closure Property of subtraction of integers" Related Question Examples Explain closure property of subtraction of integers, with variables x and y. Prove Closure property of subtraction of integers, with integers x = 24, y = 89. Prove, if a and b are integers, then (a - b) will also be an integer. Observe the following table. 10 - 9 = 1 It's a positive integers -67 - 90 = ?? ?? -100 - -245 = ?? ?? 85 - -543 = ?? ?? 23 - 54 = ?? ?? First row is solved; try solving all the other rows in similar manner. What do you understand by studying the entire table? Prove Closure property of subtraction of integers, with the help of two positive integers.