Rational nu mber Is decimal expansion terminates? If terminates, then after how many decimal places it will terminate? Yes No 177 210

Given a rational number = 177 210 = 59 70 = 59 7 × 5 × 2 , which is of the form p q , where p , q are co-prime and prime factorization of q has prime factor 7 other than 2 and 5 . Therefore, 177 210 has a non-terminating repeating decimal expansion. Rational nu mber Is decimal expansion terminates? If terminates, then after how many decimal places it will terminate? Yes No 177 210 The rational number has a non-terminating decimal expansion.

Rational num ber Is decimal expansion terminates? If terminates, then after how many decimal places it will terminate? Yes No 64 455

Given a rational number = 64 455 = 64 5 × 7 × 13 , which is of the form p q , where p , q are co-prime and prime factorization of q has factors 7 and 13 other than 2 or 5 . Therefore, 64 455 has a non-terminating repeating decimal expansion. Rational num ber Is decimal expansion terminates? If terminates, then after how many decimal places it will terminate? Yes No 64 455 The rational expression has a non-terminating decimal expansion.

Rational number Is decimal expansion terminates? If termin ates, then after how many decimal places it will terminate? Yes No 35 50

Given a rational number = 35 50 = 7 10 , which is of the form p q , where p , q are co-prime and prime factorization of q has factors 2 and 5 . Therefore, 35 50 has a terminating decimal expansion. We know 35 50 = 7 10 . So, the decimal representation of 35 50 terminates after one decimal place. Rational number Is decimal expansion terminates? If termin ates, then after how many decimal places it will terminate? Yes No 35 50 The rational expression has a terminating decimal expansion, and it will terminate after 1 decimal place.

Rational num ber Is decimal expansion terminates? If terminates, then after how many decimal places it will terminate? Yes No 3 80

Given a rational number = 3 80 = 3 2 × 2 × 2 × 2 × 5 = 3 2 4 × 5 , which is of the form p q , where p , q are co-prime and prime factorization of q has prime factors 2 and 5 . Therefore, 3 80 has a terminating decimal representation. 3 80 = 3 2 4 × 5 = 3 2 4 × 5 × 5 3 5 3 = 3 × 125 2 4 × 5 4 = 375 2 × 5 4 = 375 10 4 So, the decimal expansion of 3 80 terminates after four decimal places. Rational num ber Is decimal expansion terminates? If terminates, then after how many decimal places it will terminate? Yes No 3 80 Terminates after 4 places of decimal.

Rational n umber Is decimal expansion terminates? If terminates, then after how many decimal places it will terminate? Yes No 23 2 3 5 2

Given a rational number = 23 2 3 5 2 , which is of the form p q , where p , q are co-primes and prime factorization of q has prime factors 2 and 5 . Therefore, 23 2 3 5 2 has a terminating decimal representation. 23 2 3 5 2 = 23 2 3 5 2 × 5 5 = 115 2 3 × 5 3 = 115 10 3 So, the decimal expansion of 23 2 3 5 2 terminates after three decimal places. Rational n umber Is decimal expansion terminates? If terminates, then after how many decimal places it will terminate? Yes No 23 2 3 5 2 The decimal expansion terminates after 3 decimal places.

Rational n umber Is decimal expansion terminates? If terminates, then after how many decimal places it will terminate? Yes No 14588 5 4

Given a rational number = 14588 5 4 , which is of the form p q , where p , q are co-prime and prime factorization of q has prime factor 5 . Therefore, 14588 5 4 has a terminating decimal representation. 14588 5 4 = 14588 5 4 × 2 4 2 4 = 14588 5 × 2 4 = 14588 × 16 10 4 = 233408 10 4 . So, the decimal expansion of 14588 5 4 terminates after four decimal places. Rational n umber Is decimal expansion terminates? If terminates, then after how many decimal places it will terminate? Yes No 14588 5 4 Terminates after 4 decimal places.

Rational num ber Is decimal expansion terminates? If terminates, then after how many decimal places it will terminate? Yes No 13 125

Given a rational number = 13 125 = 13 5 3 , which is of the form p q , where p , q are co-prime, and prime factorization of q has prime factor 5 . Therefore, 13 125 has a terminating decimal representation. Now, 13 125 = 13 5 3 = 13 5 3 × 2 3 2 3 = 13 × 8 5 × 2 3 = 104 10 3 . So, the decimal expansion of 13 125 terminates after three decimal places. Rational num ber Is decimal expansion terminates? If terminates, then after how many decimal places it will terminate? Yes No 13 125 Terminates after 3 decimal places.

Rational numb er Is decimal expansion terminates? If terminates, then after how many decimal places it will terminate? Yes No 9 312

Given a rational number = 9 312 = 9 2 3 × 3 × 13 , which is of the form p q , where p , q are co-prime and prime factorization of q has factors 3 and 13 other than 2 or 5 . Therefore, 9 312 has a non-terminating and repeating decimal expansion. Rational numb er Is decimal expansion terminates? If terminates, then after how many decimal places it will terminate? Yes No 9 312 The rational number has a non-terminating decimal expansion.

A P Singh Solutions for Chapter: Real Numbers, Exercise 1: REMEDIAL WORKSHEET

Author:A P Singh

A P Singh Mathematics Solutions for Exercise - A P Singh Solutions for Chapter: Real Numbers, Exercise 1: REMEDIAL WORKSHEET

Attempt the free practice questions on Chapter 1: Real Numbers, Exercise 1: REMEDIAL WORKSHEET with hints and solutions to strengthen your understanding. DINESH LAB MANUAL IN MATHEMATICS CLASS X solutions are prepared by Experienced Embibe Experts.

Questions from A P Singh Solutions for Chapter: Real Numbers, Exercise 1: REMEDIAL WORKSHEET with Hints & Solutions

EASY

10th CBSE

IMPORTANT

DINESH LAB MANUAL IN MATHEMATICS CLASS X>Chapter 1 - Real Numbers>REMEDIAL WORKSHEET>Q 4

Rational number	Is decimal expansion terminates? If terminates, then after how many decimal places it will terminate?
	Yes	No
$\frac{177}{210}$

EASY

10th CBSE

IMPORTANT

DINESH LAB MANUAL IN MATHEMATICS CLASS X>Chapter 1 - Real Numbers>REMEDIAL WORKSHEET>Q 4

Rational number	Is decimal expansion terminates? If terminates, then after how many decimal places it will terminate?
	Yes	No
$\frac{64}{455}$

EASY

10th CBSE

IMPORTANT

DINESH LAB MANUAL IN MATHEMATICS CLASS X>Chapter 1 - Real Numbers>REMEDIAL WORKSHEET>Q 4

Rational number	Is decimal expansion terminates? If terminates, then after how many decimal places it will terminate?
	Yes	No
$\frac{35}{50}$

EASY

10th CBSE

IMPORTANT

DINESH LAB MANUAL IN MATHEMATICS CLASS X>Chapter 1 - Real Numbers>REMEDIAL WORKSHEET>Q 4

Rational number	Is decimal expansion terminates? If terminates, then after how many decimal places it will terminate?
	Yes	No
$\frac{3}{80}$

EASY

10th CBSE

IMPORTANT

DINESH LAB MANUAL IN MATHEMATICS CLASS X>Chapter 1 - Real Numbers>REMEDIAL WORKSHEET>Q 4

Rational number	Is decimal expansion terminates? If terminates, then after how many decimal places it will terminate?
	Yes	No
$\frac{23}{2^{3} 5^{2}}$

EASY

10th CBSE

IMPORTANT

DINESH LAB MANUAL IN MATHEMATICS CLASS X>Chapter 1 - Real Numbers>REMEDIAL WORKSHEET>Q 4

Rational number	Is decimal expansion terminates? If terminates, then after how many decimal places it will terminate?
	Yes	No
$\frac{14588}{5^{4}}$

EASY

10th CBSE

IMPORTANT

DINESH LAB MANUAL IN MATHEMATICS CLASS X>Chapter 1 - Real Numbers>REMEDIAL WORKSHEET>Q 4

Rational number	Is decimal expansion terminates? If terminates, then after how many decimal places it will terminate?
	Yes	No
$\frac{13}{125}$

EASY

10th CBSE

IMPORTANT

DINESH LAB MANUAL IN MATHEMATICS CLASS X>Chapter 1 - Real Numbers>REMEDIAL WORKSHEET>Q 4

Rational number	Is decimal expansion terminates? If terminates, then after how many decimal places it will terminate?
	Yes	No
$\frac{9}{312}$

A P Singh Solutions for Chapter: Real Numbers, Exercise 1: REMEDIAL WORKSHEET

A P Singh Mathematics Solutions for Exercise - A P Singh Solutions for Chapter: Real Numbers, Exercise 1: REMEDIAL WORKSHEET

Questions from A P Singh Solutions for Chapter: Real Numbers, Exercise 1: REMEDIAL WORKSHEET with Hints & Solutions

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