Properties of Addition and Subtraction of Integers

Take two integers $4,6$ and show that the difference of any two integers will always be an integer.

Explain with an example, that the difference of any two integers will always be an integer.

$a=3$ and $b=5$. Verify commutative property of subtraction of integers.

$a=2$ and $b=4$. Verify commutative property of subtraction of integers.

$7589 -$ _____$=3434$

$\left(-2\right)+\left(-1\right)+0+1+2=$_____.

Sum of given integer show closure property.

$5,2,8,6,10,12$.               [Enter true/false]

Examples and some properties of integers are given below. Match the correct property and its example.

                      Example                                  Property

$$\begin{gathered} \left(\mathrm{i}\right) (a+b)+c=a+(b+c) \left(\mathrm{a}\right)\mathrm{Identity} \\ \left(\mathrm{ii}\right) 3+4=4+3 \left(\mathrm{b}\right)\mathrm{Associativity} \\ \left(\mathrm{iii}\right) (-4)+0=(-4) \left(\mathrm{c}\right)\mathrm{Commutativity} \end{gathered}$$

$17+$ _____ $=17$

Which of the following expression are equal to $-20 ?$
$$\begin{gathered} \mathrm{I} -4 \times 5 \\ \mathrm{II} -32+ 10 -(-2) \\ \mathrm{III} -6\times 2 - [-2\times 4] \\ \mathrm{IV} 5\times (-2)+(-3)\times 4 \end{gathered}$$

Is subtraction of integers commutative? Give an example to support your answer.