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Solve $18+[-15+3 \, \text{of} \, \{-51/3+62-\overline{5 \times 5}\}]$.

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Last updated date: 15th Jul 2024
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Answer
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Hint: We have to use BODMAS rule to apply mathematical operations in the correct order. BODMAS stands for Brackets, Orders, Division, Multiplication, Addition and subtraction. It reduces calculation mistakes and helps to do the question more quickly.

Complete step by step solution:
To simplify the above operation we would use the BODMAS rule. So according to it we would first solve the [ ] brackets.
Now inside [ ] brackets we would first solve{} brackets according to the BODMAS rule.
Now inside the { } brackets we would first solve the bar then division then multiplication and then addition and subtraction.
So, $18+[-15+3 \, \text{of} \, \{-51/3+62+25\}]$
$18+[-15+3\, \text{of} \,\{-17+62+25\}]$
$18+[-15+3\, \text{of} \,\{-17+87\}]$
$18+[-15+3\, \text{of} \,70]$
$18+[-15+3 \times 70]$
Now according to BODMAS we would solve the [] brackets.
Now inside the [ ] brackets, according to BODMAS we would first do multiplication and then addition.
$18+[-15+210]$
$18+195$
Now we would do addition. So, $18+195=213$.
Therefore. after doing simplifications, we get $18+[-15+3\, \text{of} \,\{-51/3+62-\overline{5 \times 5}\}]=213$.

Note:
So to apply mathematical operations in correct order always use the BODMAS( Brackets, Orders, Division, Multiplication, Addition and subtraction) rule. It helps us to find the correct answer easily and without making any calculation mistakes. It also helps us to solve the question more quickly and efficiently.