[tex] \large{\green{{\sf{The \: Closure \: Property \: : \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}}} \\ \\ \small{\pink{{\sf{The \: closure \: property \: of \: a \: whole \: number \: \: }}}} \\ \small{\blue{{\sf{ \: \: says \: \: that \: \: when \: \: we \: \: add \: two \: \: Whole \: \: \: \: \: \: \: \: \: \: \: }}}} \\ \small{\red{{\sf{For example, \: 3 + 4 = 7 \: (whole \: number).}}}}[/tex]
example of closure property for whole number
closure property of whole number says that when we add two whole numbers the result must be a whole number
=) 3+2=5 and 5 is a whole number
so, here applies closue property for whole number over addition
let me give you a example of closure property of whole number over subtraction
# 6-3=3 here the property applies
but
# 6-12= -6 which is not a whole number as whole numbers are from 0 to infinity
so here closure property do not hold
so,we can say that closure property do not hold for subtraction
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[tex] \large{\green{{\sf{The \: Closure \: Property \: : \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}}} \\ \\ \small{\pink{{\sf{The \: closure \: property \: of \: a \: whole \: number \: \: }}}} \\ \small{\blue{{\sf{ \: \: says \: \: that \: \: when \: \: we \: \: add \: two \: \: Whole \: \: \: \: \: \: \: \: \: \: \: }}}} \\ \small{\red{{\sf{For example, \: 3 + 4 = 7 \: (whole \: number).}}}}[/tex]
example of closure property for whole number
closure property of whole number says that when we add two whole numbers the result must be a whole number
=) 3+2=5 and 5 is a whole number
so, here applies closue property for whole number over addition
let me give you a example of closure property of whole number over subtraction
# 6-3=3 here the property applies
but
# 6-12= -6 which is not a whole number as whole numbers are from 0 to infinity
so here closure property do not hold
so,we can say that closure property do not hold for subtraction