Question

Evaluate the expression when$x = 5 \text{and} y = - 2$.

$33 xy$

Short answer

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

Step-by-step solution

Step-1 – Apply the concept of product

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.

Step-2 – Associative Property of Multiplication of Real 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: $\text{(6} · \text{4)} · \text{3}=\text{6} · ( \text{4} · \text{3} ) = 72$

Step-3 – Evaluate the expression

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$33xy = - 330$.