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Simplify: [40├Ч(15├╖3)+4├Ч10├╖240]├Ч530тАЛ
3
6
9
12
6
Solve inner brackets first, perform division within brackets, and simplify the fraction multiplier 530тАЛ=6 at the very end to reduce calculations.
A numerical expression involving arithmetic operations within brackets, division, and multiplication.
BODMAS:┬аBracket,┬аOf,┬аDivision,┬аMultiplication,┬аAddition,┬аSubtraction
Solve inner brackets first, perform division within brackets, and simplify the fraction multiplier 530тАЛ=6 at the very end to reduce calculations.
Many students fail to follow the order of operations by performing multiplication before division inside the brackets, leading to an incorrect result.
Solve inner brackets
First, calculate the division inside the innermost bracket: 15├╖3=5.
40├Ч5=200
Simplify entire bracket
Add the result to the next term inside the bracket: 200+(4├Ч10)=200+40=240.
200+40=240
Divide by the divisor
Divide the result of the bracket by 240: 240├╖240=1.
240240тАЛ=1
Final calculation
Multiply the resulting value by the final fraction: 1├Ч530тАЛ=1├Ч6=6.
1├Ч6=6
B is correct because the step-by-step simplification of the BODMAS expression yields a final result of 6.
This concept of precedence is vital in Algebra when evaluating polynomial expressions or simplifying complex algebraic fractions.