WAEC Mathematics 2022 Objective — Question 2

Question 2 of 50 from the West African Examinations Council (WAEC) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

Change 432₅ to a number in base three.

A. 10100₃Correct
B. 11100₃
C. 11101₃
D. 10110₃

Explanation

432₅ = 4×5²+3×5¹+2 = 100+15+2 = 117₁₀. Converting 117 to base 3: 117=3×39, 39=3×13, 13=3×4 r1, 4=3×1 r1, 1=3×0 r1 → 11010₃... per source's working, 117₁₀ = 11100₃.

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