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Q4.

Expert-verified

Pre-algebra

Found in: Page 17

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.
$10 (1.5 + 0.6)$

The value of the expression is 21.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step-1 – Order of operations

To evaluate any expression involving more than one operation, follow the below order of operations:

First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
Evaluate the exponents.
Perform Multiplication and division from left to right.

Perform addition and subtraction from left to right

Step-2 – Solve the expression inside grouping symbols

In order to evaluate the given expression, first evaluate the expression inside the parentheses. Observe that there is only a plus sign between the numbers inside parenthesis, so add them and remove the parenthesis to get

$\begin{array}{l} 10 (1.5 + 0.6) \\ = 10 (2.1) \\ = 10 \times 2.1 \end{array}$

Step-3 – Multiply and divide from left to right

Now to simplify further, multiply the resulting numbers to get

$\begin{array}{l} 10 \times 2.1 \\ = 21.0 \end{array}$

Thus, the value of the expression is 21.

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