# Rational and Irrational Numbers | Practice set 1.2

## Rational and Irrational Numbers | Practice set 1.2

1. Compare the following numbers.
(1) -7, -2

Explanation :

➥ To Compare the two numbers we use the symbols <, =, >. (‘<‘ : Less than, ‘=’ : Equal and ‘>’ : Greater than)
➦ To Compare the two numbers, first identify the numbers if positive or negative.
➥ As we saw in the previous section that on a number line, positive numbers are on the right side of the ‘0’ (zero) and negative numbers are on the left side.
➦ Numbers are increases towards the right side and decrease on the left side of the zero.
➥ So -2 is greater than -7

Ans :  ∴ -7 < -2.

 (2)   0, −9 5

## Explanation :

➠ Zero ‘0’ is always greater than negative numbers.
➠ Positive numbers are always greater than negative numbers.

 Ans :     ∴ 0 > −9 5

 (3) 8 , 0 7

Explanation :

➠ Positive numbers are always greater than 0.

 Ans :   ∴ 8 >   0 7

 (4) −5 , 1 4 4

Explanation :
➠ Positive numbers are always greater than negative numbers .
 Ans :   ∴ −5 < 1 4 4

 (5) 40 , 141 29 29

Explanation :
➠ 40 is less than 141 so.
 Ans :   ∴ 40 < 141 29 29

 (6) − 17 , −13 20 20

Explanation :
➠ −17 is less than − 13 so.

 Ans :   ∴ − 17 < −13 20 20

 (7) 15 , 7 12 16

 Ans : 15 = 15 × 4 = 60 ; 12 15 × 4 48

 7 = 7 × 3 = 21 ; 16 16 × 3 48

Now 60 is greater than 21 so :
 60 > 21 48 48

 ∴ 15 > 7 12 16

 (8) −25 , −9 8 4

 Ans :   ∴ −25 < −9 8 4

 (9) 12 , 3 15 5

 Ans : 12 > 3 15 5

 (10) −7 , −3 11 4

Explanation :
While comparing two fractions we have to check following points ➥ Check the fraction is positive or negative.
➠ Then check the denominator is equal or not.
➥ If denominator is equal then compare with numerator number.
➠ If denominator is not equal then make it equal by multiplying or devising.

 Ans : −7 = −7 × 4 = − 28 , 11 11 × 4 44

 −3 = −3 × 11 = − 33 , 4 4 × 11 44

 − 28 > − 33 44 44

 − 7 > − 3 11 4

Rational and Irrational Numbers | Practice set 1.2

Eighth Standard : Maths

Lesson No.1

Practice Set 1.1
➥ Practice Set 1.2
➦ Practice Set 1.3
➥ Practice Set 1.4