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Evaluate the expression: 64 / 8 * 4
2
16
32
64
32
Remember the Left-to-Right rule: for operations of equal precedence like division and multiplication, always solve from the left side towards the right side.
An arithmetic expression consisting of division and multiplication operations: 64 / 8 * 4
BODMAS:BracketsтЖТOrdersтЖТDivisionтЖТMultiplicationтЖТAdditionтЖТSubtraction
Remember the Left-to-Right rule: for operations of equal precedence like division and multiplication, always solve from the left side towards the right side.
Students often assume Multiplication should be performed before Division due to the letters DM in BODMAS/PEMDAS, leading to 64 / 32 = 2, which is an incorrect application of operation priority.
Analyze the expression priority
According to the BODMAS rule, division and multiplication have the same priority level. Therefore, we evaluate them sequentially from left to right.
64├╖8├Ч4
Perform the first operation (Leftmost)
Perform the division operation first, as it is the leftmost operation in the sequence.
64├╖8=8
Perform the final operation
Now, multiply the result from the previous step by the remaining factor.
8├Ч4=32
C is correct because the standard order of operations requires solving division and multiplication from left to right, resulting in 32.
This Left-to-Right rule applies universally to Addition/Subtraction as well; failing to follow it is the primary reason for calculation errors in complex simplification problems in competitive exams.