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Q6.

Expert-verified

Pre-algebra

Found in: Page 66

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Evaluate the expression when $x = 5 and y = - 2$ .
$33 x y$

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

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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: $(a \cdot b) \cdot c = a \cdot (b \cdot c)$

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

Example: $(6 \cdot 4) \cdot 3 = 6 \cdot (4 \cdot 3) = 72$

Step-3 – Evaluate the expression

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

$\begin{array}{l} 33 x y \\ = 33 \cdot (5 \cdot - 2) (AssociativePropertyofMultiplication) \\ = (33 \cdot 5) \cdot - 2 (AssociativePropertyofMultiplication) \\ = 165 \cdot - 2 = - 330 \end{array}$

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

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