Discussion
Find the value of
\(15 \times [4 \div 3\{3 \times 4 \div (4 \times 4)\}]\):
Answer: C
The value is 15. Work left to right with brackets first, treating the number before the curly bracket as a multiplier after the division:
\[ 4 \div 3 \times \{3 \times 4 \div 16\} \]\[ \{12 \div 16\} = \frac{3}{4} \]\[ 4 \div 3 \times \frac{3}{4} = 1 \]\[ 15 \times 1 = 15 \]25, 20 and 5 come from grouping 3 and the bracket together as the divisor, which is not the left-to-right order of operations.
The point of the question is the order of operations. Brackets are worked out first, from the innermost, then division and multiplication from left to right. A number placed directly before a bracket, as 3 before the curly bracket, is a multiplier and not a divisor of the whole term, which is why the result is 15 and not the other values.
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