**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,45^{66}/_{98}=^{ka}–_{kb},(k=not zero).

3)Useful rules to compare two rational numbers.

If ^{a}–_{b} and^{c}–_{d} are rational numbers such that b and d are positive, and

1) if a x d < b x c then
^{a}–_{b}
<^{c}–_{d}.

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 .

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

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

Ans: -5 x 4, 4 x 1

=-20 , 4

=-20 < 4

Therefore, -5 4 < 1 4

Ans: 40 x 29, 141 x 29

=1360 , 4089

=1360 < 4089

Therefore, 40 29 < 141 29

Ans: -17 x 20, -13 x 20

=-340 , -260

=-340 < -260

Therefore, -17 20 < -13 20Ans: 15 x 16, 7 x 12

=240 , 84

=240 > 84

Therefore, 15 12 > 7 16

Ans: -25 x 4, -9 x 8

=-100 , -72

=-100 < -72

Therefore, 25 8 < -9 4

Ans: 12 x 5, 3 x 15

=60 , 45

=60 > 45

Therefore, 12 5 > 3 5

Ans: -7 x 4, -3 x 11

=-28 , -33

=-28 > -33

Therefore, -7 11 > -3 4

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