1
Question
Simplify: [9−14−(19−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯14−12)]−(14−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯15+12)
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Solution
The BODMAS rule can simplify any expression using these steps of solving:
Brackets (parts of a calculation inside brackets always come first).Orders (numbers involving powers or square roots).DivisionMultiplicationAdditionSubtraction
Now, using BODMAS rule, we solve the given expression [9−{14−(19−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯14−12)}]−(14−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯15+12) as follows:
[9−{14−(19−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯14−12)}]−(14−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯15+12)=[9−{14−(19−2)}]−(14−27)=[9−{14−17}]−(−13)=[9−(−3)]+13=[9+3]+13=12+13=25
Hence, [9−{14−(19−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯14−12)}]−(14−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯15+12)=25
The BODMAS rule can simplify any expression using these steps of solving:
Brackets (parts of a calculation inside brackets always come first).
Orders (numbers involving powers or square roots).
Division
Multiplication
Addition
Subtraction
Now, using BODMAS rule, we solve the given expression [9−{14−(19−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯14−12)}]−(14−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯15+12) as follows:
[9−{14−(19−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯14−12)}]−(14−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯15+12)=[9−{14−(19−2)}]−(14−27)=[9−{14−17}]−(−13)
=[9−(−3)]+13=[9+3]+13=12+13=25
Hence, [9−{14−(19−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯14−12)}]−(14−¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯15+12)=25
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