Simplify the following mathematical expressions:
$27 + 3 - [29 - {6 \div 3 - (5 - 6 \div 3) \div 3}]$

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Solution

Finding the Value of an Expression
Step $1$ : Simplifying the expression using BODMAS.
$27 + 3 - [29 - {6 \div 3 - (5 - 6 \div 3) \div 3}]$ ; Solving open brackets-Division
$= 27 + 3 - [29 - {6 \div 3 - (5 - 2) \div 3}]$ ; Solving open brackets-Subtraction
$= 27 + 3 - [29 - {6 \div 3 - 3 \div 3}]$ ; Solving curly brackets by applying open brackets
$= 27 + 3 - [29 - {(6 \div 3) - (3 \div 3)}]$ ; Solving open brackets-Division
$= 27 + 3 - [29 - {2 - 1}]$ ; Solving curly brackets-Subtraction
$= 27 + 3 - [29 - 1]$ ; Solving square brackets-Subtraction
$= 27 + 3 - 28$ ; Addition
$= 30 - 28$ ; Subtraction
$= 2$
Hence, the value of the expression is $2$ ..

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