Closure Property (Division of Integers)

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 you understand this topic you must know: What is Division of Integers Explanation - System of integers is not closed under division,this means that the division of any two integers is not always an integers. This is known asClosure Property for Division of Whole Numbers. Read the following and you can further understand this property: (-6) ÷ 2 = (-3), Result is an Integer.......(1) (-27) ÷ (-9) = 3, Result is an Integer.....(2) 15 ÷ (-5) = (-3), Result is an Integer ....(3) 4 ÷ (-12) = (-1/3), Result is not an Integer, while its a fraction.....(4) (-6) ÷ 24 = (-1/4), Result is not an Integer, while its a fraction....(5) (-10) ÷ (-100) = (1/10), Result is not an Integer, while its a fraction....(6) From the above terms (1), (2) and (3),we notice that the division of integers is also an integer. But also from the above terms (4), (5) and (6),we notice that the division of integers is not an integer (its Fraction). Hence, it can be concluded that division of two integers is not always an integer. Study More Solved Questions / Examples Explain closure property of division of integers with the help of following positive integers: 246 divided by 3 5 divided by 25 Explain closure property of division of integers with the help of following negative integers: (-100) divided by (-5) (-7) divided by (-49) Explain closure property of division of integers with the help of following equation: Equation 1 : (-36) ÷ (-12) = Equation 2 : (-46) ÷ (10) = Equation 3 : (105) ÷ (-5) = Equation 4 : (18) ÷ (33) = Solve and following given two tables and on the basis of results, give your observation. Table - 1 28 ÷ (-14) =   (-72) ÷ (-9) =   81 ÷ 3 =   (-35) ÷ 7 =   Table - 2 (-27) ÷ (-18) =   35 ÷ 45 =   (-77) ÷ 55 =   10 ÷ (-14) =