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Difficulty: EasySimplification and BODMAS Rule

What is the final numerical value of the following expression evaluated using the standard BODMAS rule?

50−[18÷3×(4+2)]50 - [18 \div 3 \times (4 + 2)]

Answer: 14

Answer

The final simplified value of the expression is 14.
Following the BODMAS order of operations: first simplify the inner bracket (4+2)=6(4 + 2) = 6. Next, evaluate inside the square bracket from left to right: 18÷3=618 \div 3 = 6, and then 6×6=366 \times 6 = 36. Finally, subtract from 50 to get 50−36=1450 - 36 = 14.

Step-by-Step Solution

1
Evaluate the innermost round brackets
4+2=64 + 2 = 6
According to BODMAS, operations inside brackets must be performed first.
2
Perform division inside the square brackets
18÷3=618 \div 3 = 6
Division and multiplication have equal priority and are performed from left to right.
3
Perform multiplication inside the square brackets
6×6=366 \times 6 = 36
Multiply the quotient obtained from division by the bracketed sum.
4
Subtract the result inside brackets from 50
50−36=1450 - 36 = 14
Perform subtraction as the final operation.

Key Concept

BODMAS / Order of Operations
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Topics

Simplification and BODMAS Rule

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