Chapter 1: Q7. (page 18)

Evaluate the expression.
$17 - (3^{2} - 2)$

Short Answer

Expert verified

The value of expression is10.

Step by step solution

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 – Simplify expression in grouping symbol

The expression is provided as $17 - (3^{2} - 2)$

To evaluate the expression, first simplify the expression in parenthesis by expanding the exponent and then subtract 2 from the resulting number as shown

$\begin{matrix} 17 - (3^{2} - 2) = 17 - (9 - 2) \\ = 17 - (7) \end{matrix}$

Step-3 – Subtract the numbers

To simplify further, subtract the resulting numbers to get

$\begin{matrix} 17 - (3^{2} - 2) = 17 - (7) \\ = 17 - 7 \\ = 10 \end{matrix}$

So, the value of the expression is 10.

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Evaluate the expression.
$17 - (3^{2} - 2)$

Short Answer

Step by step solution

Step-1 – Order of operations

Step-2 – Simplify expression in grouping symbol

Step-3 – Subtract the numbers

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Evaluate the expression.17−(32−2)

Short Answer

Step by step solution

Step-1 – Order of operations

Step-2 – Simplify expression in grouping symbol

Step-3 – Subtract the numbers

One App. One Place for Learning.

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Evaluate the expression.
$17 - (3^{2} - 2)$