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Q7.

Expert-verified
Found in: Page 8

### Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903

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# Find the value of each expression $\left[9+3\left(5-7\right)\right]÷3$

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

See the step by step solution

## 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

$\left[9+3\left(5-7\right)\right]÷3=\left[9+3\left(-2\right)\right]÷3$

## Step 3 - Multiply 3 with -2 then add 9

$\begin{array}{c}\left[9+3\left(5-7\right)\right]÷3=\left[9+3\left(-2\right)\right]÷3\\ =\left[9-6\right]÷3\\ =\left[3\right]÷3\end{array}$

## Step 4 - Divide 3 with 3

Now, divide resultant by 3 to get

$3÷3=1$.

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