Question

Q. Do subtraction and division closed under closure property in whole numbers.

Answer 1

Dear student
$$\begin{gathered} \mathrm{Subraction}\mathrm{Under}\mathrm{closure}:\mathrm{Let}\mathrm{a}=2\mathrm{and}\mathrm{b}=8 \\ \mathrm{then}\mathrm{a}-\mathrm{b}=2-8=-6\notin \mathrm{W}\mathrm{where}\mathrm{W}=\mathrm{Whole}\mathrm{numbers} \\ \mathrm{So},\mathrm{a}-\mathrm{b}\mathrm{is}\mathrm{not}\mathrm{closed}\mathrm{under}\mathrm{subtraction} \\ \mathrm{Division}\mathrm{Under}\mathrm{closure}:\mathrm{Let}\mathrm{a}=2\mathrm{and}\mathrm{b}=8 \\ \mathrm{then}\mathrm{a}÷\mathrm{b}=2÷8=\frac{1}{4}\notin \mathrm{W}\mathrm{where}\mathrm{W}=\mathrm{Whole}\mathrm{numbers} \\ \mathrm{So},\mathrm{a}÷\mathrm{b}\mathrm{is}\mathrm{not}\mathrm{closed}\mathrm{under}\mathrm{Division} \end{gathered}$$
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