Commutative property:
For addition and multiplication if you change the order of the addernds or factor is doesn't change the sum or multiplication.
Example:
Addition
[tex]\begin{gathered} a\pm b=b\pm a \\ \\ 5+3=3+5 \\ 8=8 \end{gathered}[/tex]Multiplication:
[tex]\begin{gathered} a\times b=b\times a \\ \\ 5\times3=3\times5 \\ 15=15 \end{gathered}[/tex]Closure property:
When you add or subtract any two intergers, the result will always be an interger.
Example:
[tex]\begin{gathered} a+b=c \\ \\ a,b,c\text{ are intergers} \\ \\ 8+13=21 \\ \end{gathered}[/tex]8, 13 and 21 are intergers