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Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

Suppose a, b, and c is three real numbers.

Associative property of Multiplication

Property: $\text{(a}  ·  \text{b)}  ·  \text{c}=\text{a}  ·  ( \text{b}  ·  \text{c} )$

If you are multiplying three real numbers, the product is always the same regardless of their grouping.

Example: $\text{(6}  ·  \text{4)}  ·  \text{3}=\text{6}  ·  ( \text{4}  ·  \text{3} )  =  72$

Commutative Property of Multiplication:

Property: localid="1647518898866" $\text{a}  ·  \text{b}  =\text{b}  ·  \text{a}  $or $\text{a}  ·  \text{b}  ·  \text{c}=\text{b}  ·  \text{c}  ·  \text{a}$$\text{a}  ·  \text{b}  ·  \text{c}=\text{b}  ·  \text{c}  ·  \text{a}$

If you multiply two or three real numbers in any order, their product will always be the same.

Example: $\text{12}  ·  \text{4}  =\text{4}  ·  \text{12}  =  48$or $\text{5}  ·  \text{6}  ·  \text{4}=\text{6}  ·  \text{4}  ·  \text{5}  \text{=}  \text{120}$

Commutative Property of Multiplication states that if you multiply two or three real numbers in any order, their product will always be the same.

Property: $\text{a}  ·  \text{b}  =\text{b}  ·  \text{a}  $or $\text{a}  ·  \text{b}  ·  \text{c}=\text{b}  ·  \text{c}  ·  \text{a}$

Example: $\text{12}  ·  \text{4}  =\text{4}  ·  \text{12}  =  48$or $\text{5}  ·  \text{6}  ·  \text{4}=\text{6}  ·  \text{4}  ·  \text{5}  \text{=}  \text{120}$

Associative property of Multiplication states thatif you are multiplying three real numbers, the product is always the same regardless of their grouping.

Property:$\text{(a}  ·  \text{b)}  ·  \text{c}=\text{a}  ·  ( \text{b}  ·  \text{c} )$

Example: $\text{(6}  ·  \text{4)}  ·  \text{3}=\text{6}  ·  ( \text{4}  ·  \text{3} )  =  72$

In short we can write:

Commutative Property of Multiplication: $\text{a}  ·  \text{b}  =\text{b}  ·  \text{a}  $or $\text{a}  ·  \text{b}  ·  \text{c}=\text{b}  ·  \text{c}  ·  \text{a}$

Associative Property of Multiplication: $\text{(a}  ·  \text{b)}  ·  \text{c}=\text{a}  ·  ( \text{b}  ·  \text{c} )$

So, we can multiply the numbers in any order.

localid="1649347774162" $\begin{array}{l}\text{5}·17·2=170\\ =5(17·2)(\text{byAssociativeProperty)}\\ =5(2·17)\left(\text{byCommutativeProperty}\right)\\ =5·34=170\end{array}$

$\text{5}  ·  17  ·  2  =  170$