Express the following numbers in the form of p q , q ≠ 0 . 18 . 48

Let x = 18 . 48 ⇒ x = 18 . 484848 . . . . ( i ) Multiplying both the sides of equation ( i ) by 100 , we get: 100 x = 1848 . 484848 . . . . . . ( i i ) Subtracting equation i from equation i i , we get: 99 x = 1830 x = 1830 99 = 610 33 . Hence, the required answer is 610 33 .

Express the following numbers in the form of p q , q ≠ 0 . 0 . 1 7

Let x = 0 . 1 7 ⇒ x = 0 . 177777 . . . . ( i ) Multiplying both the sides of equation ( i ) by 10 , we get: 10 x = 1 . 777777 . . . . . ( i i ) Subtracting equation i from equation i i , we get: 9 x = 1 . 6 x = 1 . 6 9 = 16 90 = 8 45 . Hence, the required answer is 8 45 .

Express the following numbers in the form of p q , q ≠ 0 . 0 . 12 3

Let x = 0 . 12 3 ⇒ x = 0 . 123333 . . . . ( i ) Multiplying both the sides of equation ( i ) by 10 , we get: 10 x = 1 . 233333 . . . . . ( i i ) Subtracting, we get: 9 x = 1 . 11 x = 1 . 11 9 = 111 900 . Hence, the required answer is 111 900 .

Find the following two irrational numbers between 2 3 and 8 9 .

2 3 = 0 . 6 and 8 9 = 0 . 8 An irrational number have non-terminating non-repeating decimals. The two irrational numbers between 0 . 6 & 0 . 8 can be 0 . 65 , 0 . 7 .

Find the following an irrational number between 1 9 and 1 7 .

1 9 = 0 . 1 and 1 7 = 0 . 142857 An irrational number have non-terminating non-repeating decimals. ∴ An irrational numbers between 0 . 1 & 0 . 142857 can be 0 . 12 .

E M B I B E

All in One Mathematics>Chapter 1 - Number Systems>Exercise 1.2

Brijesh Dwevedi and Jitendra Gupta Solutions for Chapter: Number Systems, Exercise 2: Exercise 1.2

Author:Brijesh Dwevedi & Jitendra Gupta

Brijesh Dwevedi Mathematics Solutions for Exercise - Brijesh Dwevedi and Jitendra Gupta Solutions for Chapter: Number Systems, Exercise 2: Exercise 1.2

Attempt the practice questions on Chapter 1: Number Systems, Exercise 2: Exercise 1.2 with hints and solutions to strengthen your understanding. All in One Mathematics solutions are prepared by Experienced Embibe Experts.