Insert a rational number and an irrational number between the following:
(i) 2 and 3 (ii) 0 and 0.1

(iii) (iv)

(v) 0.15 and 0.16 (vi) √2 and √3

(vii) 2.357 and 3.121

(viii) .0001 and .001

(ix) 3.623623 and 0.484848

(x) 6.375289 and 6.375738.

Question

Philoid · Accepted Answer

(i) Rational number: 2.1 and Irrational number: 2.040040004...

(ii) Rational number: 0.03 and Irrational number: 0.007000700007…

(iii) Rational number between

LCM of 3 and 2 is 6.

We can write and

So, rational number between and Irrational number: 0.414114111...

(iv)

Rational number: 0 and Irrational number: 0.151151115...

(v) Rational number: 0.151 and Irrational number: 0.151551555...

(vi) √2 = 1.41 and √3 = 1.732

Rational number: 1.5 and Irrational number: 1.585585558...

(vii) Rational number: 3 and Irrational number: 3.101101110...

(viii) Rational number: 0.00011 and Irrational number: 0.0001131331333...

(ix) Rational number: 1 and Irrational number: 1.909009000...

(x) Rational number: 6.3753 and Irrational number: 6.375414114111...

Insert a rational number and an irrational number between the following:(i) 2 and 3 (ii) 0 and 0.1(iii) (iv) (v) 0.15 and 0.16 (vi) √2 and √3(vii) 2.357 and 3.121(viii) .0001 and .001(ix) 3.623623 and 0.484848(x) 6.375289 and 6.375738.