Q. 74.8( 21 Votes )

# Insert 16 rational numbers between 2.1 and 2.2.

Answer :

Let’s take

n= numbers required to be find out

So,

Thus, 16 rational numbers are:

(a + d), (a + 2d), (a + 3d), (a + 4d), (a + 5d), (a + 6d), (a + 7d), (a + 8d), (a + 9d), (a + 10d), (a + 11d), (a + 12d), (a + 13d), (a + 14d), (a + 15d) and (a + 16d)

So,

(a + d) = (2.1 + 0.005) = 2.105

(a + 2d) = [2.1 + (2 × 0.005)] = 2.110

(a + 3d) = [2.1 + (3 × 0.005)] = 2.115

(a + 4d) = [2.1 + (4 × 0.005)] = 2.120

(a + 5d) = [2.1 + (5 × 0.005)] = 2.125

(a + 6d) = [2.1 + (6 × 0.005)] = 2.130

(a + 7d) = [2.1 + (7 × 0.005)] = 2. 135

(a + 8d) = [2.1 + (8 × 0.005)] = 2. 140

(a + 9d) = [2.1 + (9 × 0.005)] = 2. 145

(a + 10d) = [2.1 + (10 × 0.005)] = 2. 150

(a + 11d) = [2.1 + (11 × 0.005)] = 2. 155

(a + 12d) = [2.1 + (12 × 0.005)] = 2. 160

(a + 13d) = [2.1 + (13 × 0.005)] = 2. 165

(a + 14d) = [2.1 + (14 × 0.005)] = 2. 170

(a + 15d) = [2.1 + (15 × 0.005)] = 2. 175

(a + 16d) = [2.1 + (16 × 0.005)] = 2. 180

**Thus, the rational numbers between 2.1 and 2.2 are 2.105, 2.110, 2.115, 2.120, 2.125, 2.130, 2.135, 2.140, 2.145, 2.150, 2.155, 2.160, 2.165, 2.170, 2.175, 2.180,**

Rate this question :

State whether the following statements are true or false? Justify your answer.

is written in the form 𝑝𝑞, 𝑞 ≠0 and so it is a rational number.

NCERT Mathematics ExemplarState whether the following statements are true or false? Justify your answer.

There are infinitely many integers between any two integers.

NCERT Mathematics ExemplarClassify the following numbers as rational or irrational with justification:

0.5918

NCERT Mathematics ExemplarClassify the following numbers as rational or irrational with justification:

10.124124…

NCERT Mathematics ExemplarState whether the following statements are true or false? Justify your answer.

Number of rational numbers between 15 and 18 is finite.

NCERT Mathematics ExemplarState whether the following statements are true or false? Justify your answer.

is not a rational number as √12 and √3 are not integers.

NCERT Mathematics ExemplarClassify the following numbers as rational or irrational with justification:

NCERT Mathematics Exemplar

Find two rational numbers lying between

RS Aggarwal & V Aggarwal - Mathematics