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Expert-verified Found in: Page 66 ### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776 # Evaluate the expression when$x = 5 \text{and} y = - 2$.$33 xy$

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

See the 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: $\text{(a} · \text{b)} · \text{c}=\text{a} · \left( \text{b} · \text{c} \right)$

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

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

## 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,

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

Thus, the value of the expression is$33xy = - 330$. ### Want to see more solutions like these? 