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Q7.

Expert-verified

Algebra 2

Found in: Page 8

Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

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Short Answer

Find the value of each expression
$[9 + 3 (5 - 7)] \div 3$

Value of $[9 + 3 (5 - 7)] \div 3$ is 1.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1 - Order for simplification

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 - Subtract 7 from 5

First simplify parentheses, then bracket

$[9 + 3 (5 - 7)] \div 3 = [9 + 3 (- 2)] \div 3$

Step 3 - Multiply 3 with -2 then add 9

$\begin{matrix} [9 + 3 (5 - 7)] \div 3 = [9 + 3 (- 2)] \div 3 \\ = [9 - 6] \div 3 \\ = [3] \div 3 \end{matrix}$

Step 4 - Divide 3 with 3

Now, divide resultant by 3 to get

$3 \div 3 = 1$ .

Most popular questions for Math Textbooks

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$10 - 8 \div 2$

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Name the sets of numbers to which each number belongs.

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Find the value of each expression

$2 + 8 (5) \div 2 - 3$

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