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Calculate: 45 ÷ 9 × 2 + 12 - 5
15
17
19
21
17
Remember that in BODMAS, Multiplication and Division are performed from left to right, as are Addition and Subtraction. Do not blindly solve all multiplication before division.
An arithmetic expression to simplify: 45 ÷ 9 × 2 + 12 - 5
BODMAS:Brackets, Of, Division, Multiplication, Addition, Subtraction
Remember that in BODMAS, Multiplication and Division are performed from left to right, as are Addition and Subtraction. Do not blindly solve all multiplication before division.
Students often make the mistake of performing Multiplication before Division (treating 'M' before 'D' in the acronym), leading to the incorrect result of 45 ÷ (9 × 2) = 2.5.
Division
According to the left-to-right rule for Division and Multiplication, perform the division first: 45÷9=5.
45÷9=5
Multiplication
Next, multiply the result by 2: 5×2=10.
5×2=10
Addition
Now, perform the addition: 10+12=22.
10+12=22
Subtraction
Finally, perform the subtraction to get the result: 22−5=17.
22−5=17
B is correct because following the BODMAS rule strictly from left to right for Division and Multiplication gives the result 17.
The BODMAS rule is fundamental to all algebraic simplification, including polynomial expansions and solving linear equations where terms must be grouped correctly.