**Practice Questions on Rational Numbers for Class 8 :**

Here we are going to see some practice questions on practice questions on rational numbers for class 8.

**Question 1 :**

Fill in the blanks:

(i) −19/5 lies between the integers __________ and __________.

**Solution :**

The decimal value of -19/5 is -3.8

In number line -3.8 lies between -4 and -3

−19/5 lies between the integers -4 and -3

(ii) The rational number that is represented by 0.44 is __________.

**Solution :**

In order to convert 0.44 as rational number, we have to multiply both numerator and denominator by 100.

0.44 x (100/100) = 44/100

By reducing the fraction 44/100, we get

= 11/25

(iii) The standard form of + 58/(-78) is _________

**Solution :**

By simplifying 58/(-78), we get

= -29/39

(iv) The value of (-5/12) + (7/15) =

**Solution :**

L.C.M of (12, 15) = 60

= [-5(5) + 7(4)]/60

= (-25 + 28)/60

= 3/60

= 1/20

(v) The value of

is

**Solution :**

= (-15/23) x (-46/30)

By canceling 23 and 46, we get 2. In the same way by cancelling 15 and 30, we get 2.

= 1

**Question 2 :**

Say True or False:

(i) 0 is the smallest rational number.

**Solution :**

Any number which is in the form of p / q , where p, q are integers and q ≠ 0 are called Rational numbers.

Q = { p / q : p , q ∊ Z , q ≠ 0 }

According to the definition there are infinite numbers less than ' 0 ' and greater than ' 0 '. Hence, the given statement is False.

(ii) There are an unlimited number of rational numbers between 0 and 1.

**Solution :**

Some numbers between 0 and 1 are 0.1, ............, 0.11, ...........

Hence the there are infinite numbers of rational numbers between 0 and 1. Hence the given statement is true.

(iii) The rational number which does not have a reciprocal is 0.

**Solution :**

The reciprocal of 0 is 1/0.

1/0 = undefined

Hence 0, does not have reciprocal.

(iv) The only rational number which is its own reciprocal is –1.

**Solution :**

Reciprocal of -1 is 1/(-1)

= -1

Hence -1 is reciprocal of -1.

(v) The rational numbers that are equal to their additive inverses are 0 and–1.

The additive inverse of 0 is 0 and additive inverse of -1 is 1.

Hence the given statement is false.

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