Decimal expansions: terminating and recurringPractice Questions & MCQs
Practice Decimal expansions: terminating and recurring questions from Real Numbers (Class 10 Maths) - important MCQs with answers and step-by-step solutions. Solve the sample questions below, then practice the full set free on the RankByte app.
Decimal expansions: terminating and recurringQuiz - Solve & Score
Q1. After how many decimal places does 3/8 terminate?
- A.9
- B.4
- C.3
- D.5
Answer: C. 3
Given 3, 8, asked for how many decimal places does 3/8 terminate?. By a rational p/q in lowest terms terminates iff q = 2^m x 5^n, otherwise it is non-terminating recurring. a rational p/q in lowest terms terminates iff q = 2^m x 5^n, otherwise it is non-terminating recurring → hence the required value = 3. reduce the given fraction and inspect the denominator's prime factorisation. Hence option C) 3. Others fail: option A) '9' is incorrect: Wrong: a common multi-step slip gives this; option B) '4' fails since Wrong: a step was skipped or HCF/LCM swapped.
Q2. The decimal expansion of 3/16 terminates after how many places?
- A.6
- B.5
- C.4
- D.7
Answer: C. 4
Q3. How many digits are there after the decimal point in the (terminating) expansion of 3/25?
- A.13
- B.3
- C.2
- D.4
Answer: C. 2
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