Without actual division, find which of the following fractions are terminating decimals : (i) 9/25 (ii) 7/12 (iii) 13/16 (iv) 25/128 (v) 9/50 (vi) 121/125 (vii) 19/55 (viii) 37/78 (ix) 23/80 (x) 19/30

Question

KnowledgeBoat · Accepted Answer

In rational numbers, if the denominator of the fraction can be expressed in the form of 2m. × 5n., then it is a terminating decimal. (i) So, 25 can be expressed as 20. × 52., which is in the form of 2m. × 5n.. Hence, is a terminating decimal number. (ii) So, 12 can be expressed as 3 × 22. × 50., which is not in the form of 2m. × 5n.. Hence, is not a terminating decimal number. (iii) So, 16 can be expressed as 24. × 50., which is in the form of 2m. × 5n.. Hence, is a terminating decimal number. (iv) So, 128 can be expressed as 27. × 50., which is in the form of 2m. × 5n.. Hence, is a terminating decimal number. (v) So, 50 can be expressed as 21. × 52., which is in the form of 2m. × 5n.. Hence, is a terminating decimal number. (vi) So, 125 can be expressed as 20. × 53., which is in the form of 2m. × 5n.. Hence, is a terminating decimal number. (vii) So, 55 can be expressed as 11 × 20. × 51., which is not in the form of 2m. × 5n.. Hence, is not a terminating decimal number. (viii) So, 78 can be expressed as 39 × 21. × 50., which is not in the form of 2m. × 5n.. Hence, it is not a terminating decimal number. (ix) So, 80 can be expressed as 24. × 51., which is in the form of 2m. × 5n.. Hence, is a terminating decimal number. (x) So, 30 can be expressed as 3 × 21. × 51., which is not in the form of 2m. × 5n.. Hence, is not a terminating decimal number.

Mathematics

Without actual division, find which of the following fractions are terminating decimals : (i) 9/25 (ii) 7/12 (iii) 13/16 (iv) 25/128 (v) 9/50 (vi) 121/125 (vii) 19/55 (viii) 37/78 (ix) 23/80 (x) 19/30

Rational Irrational Nos

Related Questions

Convert each of the following decimals into vulgar fraction in its lowest terms :
(i) 0.65
(ii) 1.08
(iii) 0.075
(iv) 2.016
(v) 1.732

Mathematics

Without actual division, find which of the following fractions are terminating decimals : (i) 9/25 (ii) 7/12 (iii) 13/16 (iv) 25/128 (v) 9/50 (vi) 121/125 (vii) 19/55 (viii) 37/78 (ix) 23/80 (x) 19/30

Rational Irrational Nos

Related Questions

Convert each of the following decimals into vulgar fraction in its lowest terms :(i) 0.65(ii) 1.08(iii) 0.075(iv) 2.016(v) 1.732

Convert each of the following decimals into vulgar fraction in its lowest terms :
(i) 0.65
(ii) 1.08
(iii) 0.075
(iv) 2.016
(v) 1.732