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If % = multiplication, = subtraction, * = addition, and # = division, then what is 15 \% 3 5 * 8 # 4?
16
18
32
42
42
Apply the BODMAS rule (Bracket, Of, Division, Multiplication, Addition, Subtraction) strictly after substituting the symbols with their corresponding operators.
Apply the BODMAS rule (Bracket, Of, Division, Multiplication, Addition, Subtraction) strictly after substituting the symbols with their corresponding operators.
Substitute Symbols
Replace the given symbols with their mathematical operators: 15% 3 $ 5 * 8 # 4 becomes 15 * 3 - 5 + 8 / 4.
Apply BODMAS Rule
Step 1 (Division): 8 / 4 = 2. The expression is now 15 * 3 - 5 + 2. Step 2 (Multiplication): 15 * 3 = 45. The expression is now 45 - 5 + 2. Step 3 (Addition and Subtraction): 45 - 5 = 40, and 40 + 2 = 42.
A: 16 is incorrect because the calculation yields 42, not 16. B: 18 is incorrect as it fails to follow the correct order of operations. C: 32 is incorrect because it likely results from an incorrect sequence of arithmetic operations.
D is correct because following the BODMAS rule for the expression 15 * 3 - 5 + (8 / 4) results in 45 - 5 + 2 = 42.
Always identify the Division (#) operator first, as it usually dictates the largest change in the numerical value of the expression.
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