Question

Find a rational no. between:-
(a)-2and2
(b)-5/7and-2/5
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Answer 1

Answer:

(i) -1 and 0 (ii) -2 and -1 (iii) -4/5 and -2/3 (iv) -1/2 and 2/3

Answer:

(i) -1 and 0

Let us write -1 and 0 as rational numbers with denominator 6.

=> -1 = -6/6 and 0 = 0/6

So, -6/6 < -5/6 < -4/6 < -3/6 < -2/6 < -1/6 < 0/6

=> -1 < -5/6 < -2/3 < -1/2 < -1/3 < -1/6 < 0

Hence, the five rational numbers between -1 and 0 are:

-5/6 < -2/3 < -1/2 < -1/3 < -1/6

(ii) -2 and -1

Let us write -2 and -1 as rational numbers with denominator 6.

=> -2 = -12/6 and -1 = -6/6

So, -12/6 < -11/6 < -10/6 < -9/6 < -8/6 < -7/6 < -6/6

=> -2 < -11/6 < -5/3 < -3/2 < -4/3 < -7/6 < -1

Hence, the five rational numbers between -2 and -1 are:

-2 < -11/6 < -5/3 < -3/2 < -4/3 < -7/6 < -1

(iii) -4/3 and -2/3

Let us write -4/3 and -2/3 as rational numbers with the same denominator.

=> -4/5 = -36/45 and -2/3 = -30/45

=> -36/45 < -35/45 < -34/45 < -33/45 < -32/45 < -31/45 < -30/45

=> -4/5 < -7/9 < -34/45 < -11/15 < -32/45 < -31/45 < -2/3

Answer 2

Answer:

the answer will be

a.. -2,-1,0,1,2

b..-5÷6 , 5÷5like wise upto -2÷4

Step-by-step explanation:

rational no. can be integer and can be a natural no.

rational no. can be zero

rational no. can be a fraction also

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