Q7. Find five rational numbers between 3/5 and 2/3. Q8. Insert 16 rational numbers between 2.1 and 2.2.
Answers
Ans .7-
we first make denominators Same by making them 15 in both numbers.
✓ 3 x 3 / 5 x 3 = 9 / 15
✓ 2 x 5 / 3 x 5 = 10 / 15
✓ Let us further multiply them by 10 to get greater difference among both new numbers.
= This gives 90 / 150 and 100 / 150
✓ Hence we can write any five numbers Between these two.
✓ Ans. 91 / 150 , 92 / 150 , 93 / 150 , 94 / 150 and 97 / 150 .
Solution.8.-
sol) As we need to insert 16 rational no. between 2.1 and 2.2
multiply 2.1 and 2.2 respectively by any no.> 100, let here be 1000
=> i.e 2.1*1000 =2100
2.2 *1000= 2200
now
we can write any no. between 2100 and 2200 as all the no. are rational
it can be written in p/q form
hence the required no.are
2120,2133,2142,2145,2149,2158,2160,2164,2169,2171,2173,2175,2177,2184,2186,2189,2190,2199, etc
HOPE THIS WILL HELP YOU