91Ó°ÊÓ

When two or more numbers are multiplied together, it gives a number. The numbers that are being multiplied are called the factors. And the result of the multiplication of numbers is called the product of those numbers.

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

To evaluate the expression$33xy$, substitute the value of x as 5 and the value of y as – 2 and multiply the numbers as shown below,

$\begin{array}{l}33xy\\ =33·(5·−2)(\text{AssociativePropertyofMultiplication)}\\ =(33·5)·−2(\text{AssociativePropertyofMultiplication)}\\ =165·−2=−330\end{array}$

Thus, the value of the expression is$33xy  =  -  330$.