Chapter 1: Q27. (page 9)

Find the value of each expression
$12 + \{10 \div [11 - 3 (2)]\}$

Short Answer

Expert verified

Value of $12 + \{10 \div [11 - 3 (2)]\}$ is 14

Step by step solution

- 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 [ ], or braces { }
Evaluate the exponents.
Perform Multiplication and division from left to right.
Perform addition and subtraction from left to right.

- Simplify expression inside grouping symbol

To evaluate the value of the given expression, first simplify bracket, then simplify further the expression inside braces as shown below

$\begin{matrix} 12 + \{10 \div [11 - 3 (2)]\} = 12 + \{10 \div [11 - 6]\} \\ = 12 + \{10 \div 5\} \\ = 12 + 2 \end{matrix}$

- Add 12 with 2

Now, to simplify further add the numbers to get

$12 + 2 = 14$

Thus, value of $12 + \{10 \div [11 - 3 (2)]\}$ is 14

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Find the value of each expression
$12 + \{10 \div [11 - 3 (2)]\}$

Short Answer

Step by step solution

- Order for simplification

- Simplify expression inside grouping symbol

- Add 12 with 2

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Find the value of each expression12+10÷11-32

Short Answer

Step by step solution

- Order for simplification

- Simplify expression inside grouping symbol

- Add 12 with 2

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

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Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

Find the value of each expression
$12 + \{10 \div [11 - 3 (2)]\}$