Closure Property (Division 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

Explain closure property of division of integers with the help of following negative integers: (-100) divided by (-5) (-7) divided by (-49) This proceed as: (-100) ÷ (-5) = 20 ....... (1) (-21) ÷ (-49) = 3/7 ....... (2) In the above statements, you can observe that: In statement (1); division of two negative integers i.e. (-100) ÷ (-5) results into 20 which is a positive integer. But in statement (2); division of two negative integers i.e. (-21) ÷ (-49) results into 3/7 which is a fraction. So this explains closure property of division of integers which says that integers are not closed under division, which means that division of integers does not always gives integers. Related Question 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) =