Properties of Whole Numbers

Explain how the commutative and associative properties can be used to make the following computation easier to perform.

$-5+8-9+12-3+17+10$

If $a, b$ and $c$ are whole numbers, then $a÷\left(b÷c\right)=\left(a÷b\right)÷c$.

If $a, b$ and $c$ are whole numbers, then $a-\left(b-c\right)=\left(a-b\right)-c$.

Whole numbers are not commutative under division.

Whole numbers are closed under subtraction.

Whole numbers are not closed under ......... operation.

Check whether the statement given below is true or false:

Division of two whole number is a whole number.

The property of closure for multiplication states that if we multiply two whole numbers, our answer will be _____.

Which of the following satisfies closure property?

State whether the statement is true or false:

Prime numbers are a set of numbers that are not closed under addition.

Which of the following satisfies closure property?

Which of the following satisfies closure property?

The set of whole numbers is closed under which of the following operation?

If we add three whole numbers $x, y$ and $z$, we get $\left(x+y\right)+z=p$, if we change the order $x+\left(y+z\right)$ we get the sum 

If we subtract two whole numbers $x$ and $y$, we get $x-y=p$, if we change the order $\left(y-x\right)$ we get the difference 

Changing the order of subtraction in whole number affects the result.

If we add two whole numbers $x$ and $y$, we get $x+y=p$, if we change the order $\left(y+x\right)$ we get the sum 

Changing the order of addition in whole number affects the result.

Using the multiplicative identity property, find the value of $S$ if $S\times 1=\frac{2}{5}$

Show that the multiplicative identity for integers is $1$.