Chapter 1: Q17. (page 18)

Evaluate the expression.
$7 [2.5 + 3 (12 - 7)]$ .

Short Answer

Expert verified

The value of expression is122.5.

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 $7 [2.5 + 3 (12 - 7)]$ .

To evaluate the expression, first simplify the expression inside parenthesis and then multiply with 3. And then add the resulting number with 2.5 as shown below

$\begin{matrix} 7 [2.5 + 3 (12 - 7)] = 7 [2.5 + 3 (5)] \\ = 7 [2.5 + 15] \\ = 7 [17.5] \end{matrix}$

Step-3 – Multiply the numbers

To simplify further, multiply the resulting numbers to get

$\begin{matrix} 7 [2.5 + 3 (12 - 7)] = 7 [17.5] \\ = 122.5 \end{matrix}$

So, the value of the expression is 122.5.

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Evaluate the expression.
$7 [2.5 + 3 (12 - 7)]$ .

Short Answer

Step by step solution

Step-1 – Order of operations

Step-2 – Simplify expression in grouping symbol

Step-3 – Multiply the numbers

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Evaluate the expression.72.5+312-7.

Short Answer

Step by step solution

Step-1 – Order of operations

Step-2 – Simplify expression in grouping symbol

Step-3 – Multiply the numbers

One App. One Place for Learning.

Most popular questions from this chapter

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Evaluate the expression.
$7 [2.5 + 3 (12 - 7)]$ .