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Find the value of 8.25×6−3.14×7+2.758 of 2.5−4.365×5.
12.97
11.05
11.82
12.59
12.59
Calculate the products and the 'of' (multiplication) term individually: (8.25 × 6 = 49.5), (3.14 × 7 = 21.98), (2.758 × 2.5 = 6.895), and (4.365 × 5 = 21.825). Then sum the positives and subtract the negatives.
Expression to evaluate: 8.25 × 6 - 3.14 × 7 + 2.758 of 2.5 - 4.365 × 5
BODMAS:B−O−D−M−A−S
Calculate the products and the 'of' (multiplication) term individually: (8.25 × 6 = 49.5), (3.14 × 7 = 21.98), (2.758 × 2.5 = 6.895), and (4.365 × 5 = 21.825). Then sum the positives and subtract the negatives.
Confusing the order of operations by performing subtraction before calculating all multiplication products or treating the 'of' as addition.
Evaluate multiplication and 'of' operations
According to the BODMAS rule, we perform the multiplication (including 'of') first: 8.25×6=49.5, 3.14×7=21.98, 2.758×2.5=6.895, and 4.365×5=21.825.
49.5−21.98+6.895−21.825
Group positive and negative terms
Collect the positive numbers and the negative numbers separately for easier calculation: (49.5+6.895)−(21.98+21.825)
56.395−43.805
Perform final subtraction
Subtract the sum of the negative terms from the sum of the positive terms: 56.395−43.805=12.59
12.59
D is correct because the result of the arithmetic expression 8.25 × 6 - 3.14 × 7 + 2.758 of 2.5 - 4.365 × 5 simplifies to 12.59.
This type of simplification question often appears in reasoning sections as part of number series or coding-decoding problems involving mathematical symbols.
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