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Simplify the given expression. (6+4)÷2−2+6×4
27
44
21
36
27
Solve in sequence: First handle brackets (10), then division (10 ÷ 2 = 5), then multiplication (6 × 4 = 24), finally complete the addition and subtraction (5 - 2 + 24).
Expression: (6 + 4) ÷ 2 - 2 + 6 × 4
(BODMAS)⟹Brackets, Of, Division, Multiplication, Addition, Subtraction
Solve in sequence: First handle brackets (10), then division (10 ÷ 2 = 5), then multiplication (6 × 4 = 24), finally complete the addition and subtraction (5 - 2 + 24).
Performing addition before subtraction is fine, but failing to follow the multiplication step after division often leads to incorrect results like (5-2+6) × 4.
Solve Brackets
According to BODMAS, solve the operation inside the parentheses first: 6+4=10.
10÷2−2+6×4
Division and Multiplication
Perform division: 10÷2=5. Then perform multiplication: 6×4=24.
5−2+24
Addition and Subtraction
Perform the final operations from left to right: 5−2=3, and 3+24=27.
27
A is correct because the result of the expression is 27.
The BODMAS rule is universal; ensure you always prioritize division/multiplication over addition/subtraction to avoid common errors in data interpretation and algebra questions.
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