Closure Property (Subtraction of Whole Numbers) : 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

Whole numbers are not closed under subtraction. Explain how ? Study the following sets of subtraction of whole SET 1 25 - 9 = 16 789 - 234 = 555 435 - 65 = 370 555 - 125 = 430 910 - 342 = 568 SET 2 635 - 987 = -352 53 - 313 = -260 48 - 51 = -3 123 - 423 = -300 76 - 100 = -24 On studying SET 1 and SET 2 both, we get SET - 1 = Subtraction of whole numbers give whole numbers. SET - 2 = Subtraction of whole number does not give whole numbers, while they are integers. Hence, this shows that whole numbers are not closed under subtraction which means that subtraction of whole numbers does not always give whole numbers. Related Question Examples Solve the following table and explain what you understand about closure property of subtraction of whole numbers ? First two rows are solved, try solving other rows too. 10 - 7 = 3 It's a whole number 24 - 74 = -50 It's not a whole number but an integer 15 - 10 = ?? ?? 35 - 75 = ?? ?? 80 - 100 = ?? ?? 97 - 23 = ?? ?? Explain closure property of subtraction of whole numbers by solving the following table: 189 - 156 = ?? 476 - 989 = ?? 67 - 543 = ?? 8354 - 3298 = ?? 88 - 99 = ?? Whole numbers are not closed under subtraction. Explain how ? Demonstrate how subtraction of whole numbers does not always results in a whole number?