Properties of Whole Numbers

Name the property being illustrated in the following. ( Commutativity / Distributivity / Associativity )

$50\times 42=50\times 40+50\times 2$

Name the property being illustrated in the following. $\left(\mathrm{Additive} / \mathrm{Multiplicative}\right)$

$50\times 1=50$

Name the property being illustrated in the following. $\left(\mathrm{Additive} / \mathrm{Multiplicative}\right)$

$50+0=50$

Name the property being illustrated in the following (Closure/ Commutative/ Associative/ Distributive).

$(12\times 4)\times 8=12\times (4\times 8)$

Name the property being illustrated in the following. 

$75+34=34+75$ $\left(\mathrm{Commutative} / \mathrm{Associative}\right)$

Complete the table

Complete the following table.

Complete the following table.

Is $10÷5$, the same as $5÷10$? Justify it by taking two more combinations of numbers.

Use at least three different pairs of numbers to verify that subtraction is not commutative.

What is the value of $(100÷10)÷5$? Is it the same as $100÷(10÷5)$? Why?

What is $15÷5$? Is it the same as $5÷15$? Why?

What is the value of $(15-8)-6$? Is it the same as $15-(8-6)$? Why?

Is $7-5$, the same as $5-7$? Why?

Are the values of $5\times 2\times 6$ and $2\times 5\times 6$ same? Is there any other way of rearranging these three numbers?

Are the values of $6+3+8$ and $3+6+8$ same? Is there any other way of rearranging these three numbers?

Use the properties of numbers and simplify.

$196+34+104$

Use the properties of whole numbers and simplify.

$4\times 132\times 25$

Use the properties of whole numbers and simplify.

$500\times 689-500\times 89$

Use the properties of whole numbers and simplify.

$50\times 102$