Question

Q7. Find five rational numbers between 3/5 and 2/3. Q8. Insert 16 rational numbers between 2.1 and 2.2.​

Answer 1

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