Question

Express the following rational numbers as decimals and identify which of them are terminating? (A) $\frac{1}{2}$ (B) $-\frac{2}{3}$ (C) $\frac{15}{5}$ (D) $\frac{5}{6}$ (E) $\frac{1}{7}$ (F) $17\frac{5}{6}$ (G) $3\frac{1}{2}+8\frac{1}{4}$ (H) $2^{-4}\times 3$

• A. (A) and (B)
• B. (C) and (D)
• C. $(A),(C)$, and $(G)$
• D. (A), (C), (G) and (H)

Answer 1

Answer: (D)

If the denominator of a fraction is a factor of only 2 , or only 5 , or of both 2 and 5 , then it is a terminating decimal, otherwise non-terminating.