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=ka–kb,(k=not zero).
3)Useful rules to compare two rational numbers.
If a–b andc–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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