Rational Numbers - Solutions 1

CBSE Class –VII Mathematics
NCERT Solutions
Chapter 9 Rational Numbers (Ex. 9.1)

Question 1. List five rational numbers between:
(i) 1 and 0
(ii) 2 and 1
(iii) 45 and 23
(iv) 12 and 23
Answer: (i) 1 and 0
Let us write 1 and 0 as rational numbers with denominator 6.
 1=66 and 0 = 06
 66<56<46<36<26<16<0
 1<56<23<12<13<16<0
Therefore, five rational numbers between 1 and 0 would be
56,23,12,13,16
(ii) 2 and 1
Let us write 2 and 1 as rational numbers with denominator 6.
 2=126 and 1=66
 126<116<106<96<86<76<66
 2<116<53<32<43<76<1
Therefore, five rational numbers between 2 and 1 would be
116,53,32,43,76
(iii) 45 and 23
Let us write 45 and 23 as rational numbers with the same denominators.
 45=3645 and 23=3045
 3645<3545<3445<3345<3245<3145<3045
 45<79<3445<1115<3245<3145<23
Therefore, five rational numbers between 45 and 23 would be
79,3445,1115,3245,3145,23
(iv) 12 and 23
Let us write 12 and 23 as rational numbers with the same denominators.
 12=36 and 23=46
 36<26<16<0<16<26<36<46
 12<13<16<0<16<13<12<23
Therefore, five rational numbers between 12 and 23 would be 13,16,0,16,13.