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Find the value of: (45÷9)×(64÷8)−(24÷4)+12
36
42
46
38
46
Calculate the values inside each parenthesis independently first, then perform multiplication followed by addition and subtraction in a single pass to save time.
An arithmetic expression containing division, multiplication, subtraction, and addition: (45 ÷ 9) × (64 ÷ 8) - (24 ÷ 4) + 12
BODMAS⟹Brackets, Orders, Division, Multiplication, Addition, Subtraction
Calculate the values inside each parenthesis independently first, then perform multiplication followed by addition and subtraction in a single pass to save time.
Many students ignore the BODMAS order and perform the operations from left to right sequentially, leading to incorrect grouping of the addition and subtraction terms.
Simplify Parentheses
Evaluate the terms inside each set of parentheses first: 45÷9=5, 64÷8=8, and 24÷4=6.
(5)×(8)−(6)+12
Perform Multiplication
According to the BODMAS rule, multiplication comes before addition and subtraction. Multiply the evaluated terms: 5×8=40.
40−6+12
Final Addition and Subtraction
Proceed with addition and subtraction from left to right: 40−6=34, and then 34+12=46.
34+12=46
C is correct because the result of the expression (45÷9)×(64÷8)−(24÷4)+12 is 46.
Mastering the BODMAS rule is essential for solving complex algebraic expressions and quantitative aptitude questions involving nested brackets.