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# The value of 1.999... in the form p/q, where p and q are integers and q ≠ 0 , is

a. 19/10

b. 1999/1000

c. 2

d. 1/9

**Solution:**

Let us simplify each option

a. 19/10 = 1.9

b. 1999/1000 = 1.999

c. 2

d. 1/9 = 0.111….

Consider x = 1.999 …. (1)

Let us multiply equation (1) with 10

10x = 19.99 …. (2)

__Subtracting__ equation (1) from (2)

9x = 18

Dividing both sides by 9

x = 2

Therefore, the value of 1.999... is 2.

**✦ Try This: **The value of 1.666... in the form p/q, where p and q are integers and q ≠ 0 , is a. 16/10, b. 1666/1000, c. 2, d. 1/6

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 1

**NCERT Exemplar Class 9 Maths Exercise 1.1 Problem 9**

## The value of 1.999... in the form p/q, where p and q are integers and q ≠ 0 , is a. 19/10, b. 1999/1000, c. 2, d. 1/9

**Summary:**

The value of 1.999... in the form p/q, where p and q are integers and q ≠ 0 , is 2

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