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Simplify: (3.6 × 2.5) − (4.8 ÷ 1.6) + (3.2 × 0.5)
7.8
7.4
7.6
7.2
7.6
Use decimal estimation: (3.6 * 2.5) is 9.0, (4.8 / 1.6) is 3, (3.2 * 0.5) is 1.6. Quickly sum 9.0 - 3 + 1.6 to reach 7.6.
Expression to evaluate: (3.6 * 2.5) - (4.8 / 1.6) + (3.2 * 0.5)
BODMAS:B−Brackets,O−Of,D−Division,M−Multiplication,A−Addition,S−Subtraction
Use decimal estimation: (3.6 * 2.5) is 9.0, (4.8 / 1.6) is 3, (3.2 * 0.5) is 1.6. Quickly sum 9.0 - 3 + 1.6 to reach 7.6.
Students often fail to follow the BODMAS sequence, incorrectly performing subtraction before addition or multiplication.
Solve multiplication and division in brackets
Apply the operations inside parentheses first: 3.6×2.5=9.0, 4.8/1.6=3, and 3.2×0.5=1.6.
9.0−3+1.6
Perform Addition
According to the BODMAS rule, perform addition of positive terms: 9.0+1.6=10.6.
10.6−3
Perform Subtraction
Finally, subtract 3 from 10.6 to get the result.
10.6−3=7.6
C is correct because the final simplification of the expression 9.0−3+1.6 results in 7.6.
This order of operations (BODMAS/PEMDAS) is fundamental for Algebra and Simplification problems in all competitive exams like SSC, Banking, and Railways.