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Diagnose an Order-of-Operations Misconception
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PPM.158 Diagnose an Order-of-Operations Misconception
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A student checks (4 + 10) × 6 and gets 64. The work shown is 10 × 6 = 60, then 4 + 60 = 64. Which explanation matches the student's misconception?
A
The student mishandled an exponent in (4 + 10) × 6, treating a power like multiplication by the exponent.
B
The student used the correct order of operations for (4 + 10) × 6 but made only a basic arithmetic slip.
C
The student ignored grouping; 4 + 10 needed to be handled as one grouped quantity before multiplying by 6.
D
The student worked strictly left to right on (4 + 10) × 6, so an operation that appeared earlier was done before the higher-priority operation.
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