Which of the two rational numbers is greater in each of the following pairs? (i) 3/-7 or 1/7 (ii) 11/-18 or -5/18 (iii) 7/10 or -9/10(iv) 0 or -3/4(v) 1/12 or 0(v) 1/12 or 0(v) 1/12 or 0(v) 1/12 or 0(v) 1/12 or 0(v) 1/12 or 0(v) 1/12 or 0(v) 1/12 or 0

Question

KnowledgeBoat · Accepted Answer

(i) We have: and One number = The other number = . Since -3 1, therefore Hence, is greater. (ii) We have: and One number = The other number = . Since -11 -5, therefore . Hence, is greater. (iii) We have: and Since 7 -9, therefore . Hence, is greater. (iv) We have: 0 and Since is a negative rational number, we have . Hence, 0 is greater. (v) We have: and 0 Since is a positive rational number, we have . Hence, is greater. (vi) We have: and 0 Since, is a negative rational number, we have . Hence, 0 is greater. (vii) We have: and L.C.M. of denominators 8 and 16 is 16. . Now, we have: and Clearly 14 11, and so i.e., Hence, is greater. (viii) We have: and L.C.M. of denominators 12 and 11 is 132. Now, expressing each fraction with denominator 132: . Now, we have: and Since -121 -120, and so i.e., Hence, is greater. (ix) We have: and L.C.M. of denominators 5 and 1 is 5. = . Now, we have: and Since -13 -20, and so i.e., Hence, is greater. (x) We have: and L.C.M. of denominators 6 and 4 is 12. . Now, we have: and Since -34 -39, and so i.e., Hence, is greater. (xi) We have: and L.C.M. of denominators 9 and 8 is 72. Now, expressing each fraction with denominator 72: Now, we have: and Since -56 -45, and so i.e., Hence, is greater. (xii) We have: and . L.C.M. of denominators 8 and 9 is 72. . Now, we have: and Since 27 40, and so i.e., Hence, is greater.

Mathematics

Which of the two rational numbers is greater in each of the following pairs? (i) 3/-7 or 1/7 (ii) 11/-18 or -5/18 (iii) 7/10 or -9/10(iv) 0 or -3/4(v) 1/12 or 0(v) 1/12 or 0(v) 1/12 or 0(v) 1/12 or 0(v) 1/12 or 0(v) 1/12 or 0(v) 1/12 or 0(v) 1/12 or 0

Rational Numbers

Related Questions

State whether the given statement is true or false :
(i) The quotient of two integers is always a rational number.
(ii) Every rational number is a fraction.
(iii) Zero is the smallest rational number.
(iv) Every fraction is a rational number.

Mathematics

Which of the two rational numbers is greater in each of the following pairs? (i) 3/-7 or 1/7 (ii) 11/-18 or -5/18 (iii) 7/10 or -9/10(iv) 0 or -3/4(v) 1/12 or 0(v) 1/12 or 0(v) 1/12 or 0(v) 1/12 or 0(v) 1/12 or 0(v) 1/12 or 0(v) 1/12 or 0(v) 1/12 or 0

Rational Numbers

Related Questions

State whether the given statement is true or false :(i) The quotient of two integers is always a rational number.(ii) Every rational number is a fraction.(iii) Zero is the smallest rational number.(iv) Every fraction is a rational number.

State whether the given statement is true or false :
(i) The quotient of two integers is always a rational number.
(ii) Every rational number is a fraction.
(iii) Zero is the smallest rational number.
(iv) Every fraction is a rational number.