Question

im having a little trouble understanding the commutative property and closure property, not a specific problem just would like a small explanation thanks!

Answer 1

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

`\begin{gathered} a\pm b=b\pm a \\ \\ 5+3=3+5 \\ 8=8 \end{gathered}`

Multiplication:

`\begin{gathered} a* b=b* a \\ \\ 5*3=3*5 \\ 15=15 \end{gathered}`

Closure property:

When you add or subtract any two intergers, the result will always be an interger.

Example:

`\begin{gathered} a+b=c \\ \\ a,b,c\text{ are intergers} \\ \\ 8+13=21 \\ \end{gathered}`

8, 13 and 21 are intergers