Without doing any actual division, find 23 125 have terminating decimal representation.

A fraction is a terminating decimal if the prime factors of the denominator of the fraction in its lowest form only contain 2 s and/or 5 s or no prime factors at all. Given rational number is 23 125 It is in the form of p q where p = 23 and q = 125 Since, 125 = 5 × 5 × 5 = 5 3 From the above expression, we can say that 125 can be expressed as 2 m × 5 n where m = 0 and n = 3 ∴ 23 125 is terminating decimal.

Without doing any actual division, find 9 14 have terminating decimal representation.

A fraction is a terminating decimal if the prime factors of the denominator of the fraction in its lowest form only contain 2 s and/or 5 s or no prime factors at all. Given rational number is 9 14 It is in the form of p q where p = 9 and q = 14 Since, 14 = 7 × 2 From the above expression, we can say that 14 cannot be expressed as 2 m × 5 n ∴ 9 14 is not terminating decimal.

Without doing any actual division, find 32 45 have terminating decimal representation.

A fraction is a terminating decimal if the prime factors of the denominator of the fraction in its lowest form only contain 2 s and/or 5 s or no prime factors at all. Given rational number is 32 45 It is in the form of p q where p = 32 and q = 45 Since, 45 = 5 × 3 × 3 = 5 × 3 2 From the above expression, we can say that 45 cannot be expressed as 2 m × 5 n ∴ 32 45 is not terminating decimal.

Without doing any actual division, find 43 50 have terminating decimal representation.

A fraction is a terminating decimal if the prime factors of the denominator of the fraction in its lowest form only contain 2 s and/or 5 s or no prime factors at all. Given rational number is 43 50 It is in the form of p q where p = 43 and q = 50 Since, 50 = 5 × 5 × 2 = 2 × 5 2 From the above expression, we can say that 50 can be expressed as 2 m × 5 n ∴ 43 50 is terminating decimal.

Without doing any actual division, find 17 40 have terminating decimal representation.

A fraction is a terminating decimal if the prime factors of the denominator of the fraction in its lowest form only contain 2 s and/or 5 s or no prime factors at all. Given rational number is 17 40 It is in the form of p q where p = 17 and q = 40 Since, 40 = 2 × 2 × 5 × 2 = 2 3 × 5 From the above expression, we can say that 40 can be expressed as 2 m × 5 n ∴ 17 40 is terminating decimal.

Without doing any actual division, find 61 75 have terminating decimal representation.

A fraction is a terminating decimal if the prime factors of the denominator of the fraction in its lowest form only contain 2 s and/or 5 s or no prime factors at all. Given rational number is 61 75 It is in the form of p q where p = 61 and q = 75 Since, 75 = 5 × 13 From the above expression, we can say that 75 cannot be expressed as 2 m × 5 n ∴ 61 75 is not terminating decimal.

Without doing any actual division, find 123 250 have terminating decimal representation.

A fraction is a terminating decimal if the prime factors of the denominator of the fraction in its lowest form only contain 2 s and/or 5 s or no prime factors at all. Given rational number is 123 250 It is in the form of p q where p = 123 and q = 250 Since, 250 = 5 × 5 × 5 × 2 = 5 3 × 2 From the above expression, we can say that 250 can be expressed as 2 m × 5 n ∴ 123 250 is terminating decimal.

E M B I B E

Concise Mathematics I.C.S.E - Class IX>Pure Arithmetic>Chapter 1 - Rational and Irrational Numbers>EXERCISE

R K Bansal Solutions for Exercise 1: EXERCISE

Author:R K Bansal

R K Bansal Mathematics Solutions for Exercise - R K Bansal Solutions for Exercise 1: EXERCISE

Attempt the practice questions from Exercise 1: EXERCISE with hints and solutions to strengthen your understanding. Concise Mathematics I.C.S.E - Class IX solutions are prepared by Experienced Embibe Experts.