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

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 = ?? ?? On solving the table we get; 10 - 7 = 3 It's a whole number 24 - 74 = -50 It's not a whole number but an integer 15 - 10 = 5 It's a whole number 35 - 75 = -40 It's not a whole number but an integer 80 - 100 = -20 It's not a whole number but an integer 97 - 23 = 74 It's a whole number Observation- Its observed that at some place, "Difference of whole numbers gives whole numbers" (as shown in green), While in some other case, "Difference of whole numbers does not give whole number" (as shown in yellow), So, we can say that difference of whole numbers does not always give whole number. And we got Closure Property of Subtraction of 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?