About this page: Rational and Irrational numbers with Practice Set 1.2

Here is the Rational numbers & Irrational numbers Practice set, We have solved the Practice set 1.2 . Before that we will learn about Rational and Inrrational numbers.

How to compare Rational Numbers?

1)For any pair of numbers on a number line the number to the left is smaller than the other.

2)If the numerator and the denominator of a rational number is multiplied by any non zero number then the value of rational number does not change. It remains the same. That is,4566/98=kakb,(k=not zero).

3)Useful rules to compare two rational numbers.

If ab andcd are rational numbers such that b and d are positive, and

1) if a x d < b x c then ab <cd.

2) if a x d = b x c then a / b = c / d

3) if a x d > b x c then a / b > c / d

Practice Set 1.2

Q.1.Compare the following numbers.

1)-7,-2

Ans: On a number line the number to the left is smaller than the other.Therefore, -7<-2 .

2)0, -9 / 5

Ans: On a number line the number to the left is smaller than the other.Therefore, 0 > -9 / 5 .

3) 8 / 7 ,0

Ans: On a number line the number to the left is smaller than the other.Therefore, 8 / 7 > 0.

4) -5 / 4 , 1 / 4

Ans: -5 x 4, 4 x 1

=-20 , 4

=-20 < 4

Therefore, -5 / 4 < 1 / 4

5) 40 / 29 , 141 / 29

Ans: 40 x 29, 141 x 29

=1360 , 4089

=1360 < 4089

Therefore, 40 / 29 < 141 / 29

6) -17 / 20 , -13 / 20

Ans: -17 x 20, -13 x 20

=-340 , -260

=-340 < -260

Therefore, -17 / 20 < -13 / 20
7) 15 / 12 , 7 / 16

Ans: 15 x 16, 7 x 12

=240 , 84

=240 > 84

Therefore, 15 / 12 > 7 / 16

8) -25 / 8 , -9 / 4

Ans: -25 x 4, -9 x 8

=-100 , -72

=-100 < -72

Therefore, 25 / 8 < -9 / 4

9) 12 / 15 , 3 / 5

Ans: 12 x 5, 3 x 15

=60 , 45

=60 > 45

Therefore, 12 / 5 > 3 / 5

10) -7 / 11 , -3 / 4

Ans: -7 x 4, -3 x 11

=-28 , -33

=-28 > -33

Therefore, -7 / 11 > -3 / 4


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