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Vidaara.orgClass 9 · Mathematics
CodeVID-M09-01-DEC-01
Recurring & Terminating Decimals — Assignment
Chapter: Number System
Topic: Rational Numbers as Recurring/Terminating Decimals
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
A rational number's decimal is terminating or:
  • A.non-recurring
  • B.recurring
  • C.irrational
  • D.random
2.
$\tfrac12=0.5$ is:
  • A.recurring
  • B.terminating
  • C.irrational
  • D.non-terminating
3.
$\tfrac13=0.\overline{3}$ is:
  • A.terminating
  • B.recurring
  • C.irrational
  • D.an integer
4.
$\tfrac{p}{q}$ terminates iff $q$ has only prime factors:
  • A.$2$ and/or $5$
  • B.$3,7$
  • C.any
  • D.$5$ only
5.
$0.75$ as a fraction is:
  • A.$\tfrac34$
  • B.$\tfrac75$
  • C.$\tfrac{7}{10}$
  • D.$\tfrac35$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Express $0.6$ as a fraction.
7.
Is $\tfrac18$ terminating or recurring?
8.
Write $0.\overline{3}$ as a fraction.
9.
Convert $\tfrac{7}{20}$ to a decimal.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Express $0.\overline{7}$ as a fraction.
11.
Express $0.\overline{36}$ as a fraction in lowest terms.
12.
Is $\tfrac{17}{8}$ terminating? Give its decimal.
13.
Express $1.\overline{2}$ as a fraction.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Express $0.\overline{123}$ as a fraction in lowest terms.
15.
Express $2.\overline{45}$ as a fraction.

Answer Key

Section A — Multiple Choice Questions
  1. (B) recurring
  2. (B) terminating
  3. (B) recurring
  4. (A) $2$ and/or $5$
  5. (A) $\tfrac34$
Section B — Short Answer (2 marks)
  1. $\tfrac35$.
  2. Terminating.
  3. $\tfrac13$.
  4. $0.35$.
Section C — Short Answer (3 marks)
  1. $\tfrac79$.
  2. $\tfrac{4}{11}$.
  3. Yes; $2.125$.
  4. $\tfrac{11}{9}$.
Section D — Long Answer (5 marks)
  1. $\tfrac{41}{333}$.
  2. $\tfrac{27}{11}$.
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