The document RD Sharma Solutions - Ex-4.1, Rational Numbers, Class 7, Math Class 7 Notes | EduRev is a part of the Class 7 Course RD Sharma Solutions for Class 7 Mathematics.

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**Q 1. Write down the numerator of each of the following rational numbers :**

**(i) −7/5**

**(ii) 15/−4**

**(iii) −17/−21**

**(iv) 8/9**

**(v) 5**

**SOLUTION :**

Numerators are :

(i) -7

(ii) 15

(iii) -17

(iv) 8

(v) 5

**Q 2 . Write down the denominator of each of the following rational numbers:**

**(i) −4/5**

**(ii) 11/−34**

**(iii) −15/−82**

**(iv) 15**

**(v) 0**

**SOLUTION :**

Denominators are :

(i) 5

(ii) -34

(iii) -82

(iv) 1

(v) 1

**Q 3. Write down the rational number whose numerator is (-3) ×4 , and whose denominator is (34 – 23) ×(7 – 4).**

**SOLUTION :**

According to the question :

Numerator = (-3) x 4 = -12

Denominator = (34 – 23) x (7 – 4) = 11 x 3 = 33

Therefore , Rational number = −12/32

**Q 4. Write the following rational numbers as integers :**

**SOLUTION :**

Integers are 7 , -12 , 34 , -73 and 95 .

**Q 5 .Write the following integers as rational numbers with denominator 1 :**

**-15 , 17 , 85 , -100**

**SOLUTION :**

Rational numbers of given integers with denominator 1 are :

**Q 6 .Write down the rational whose numerator is the smallest three digit number and denominator is the largest four digit number .**

**SOLUTION :**

Smallest three digit number = 100

Largest four digit number = 9999

Therefore rational number = 100/9999

**Q 7. Seperate positive and negative rational numbers from the following rational numbers :**

**SOLUTION :**

Given rational numbers can be rewritten as :

Thus , positive rational numbers are :

Negative rational numbers are :

**Q 8 .Which of the following rational numbers are positive :**

**(i) −8/7**

**(ii) 9/8**

**(iii) −19/−13**

**(iv) −21/13**

**SOLUTION :**

The numbers can be rewritten as :

(i) −8/7

(ii) 9/8

(iii) 19/13

(iv) −21/13

The numbers can be rewritten as :

**Q 9 .Which of the following rational numbers are negative ?**

**(i) −3/7**

**(ii) −5/−8**

**(iii) 9/−83**

**(iv) −115/−197**

**SOLUTION :**

The numbers can be rewritten as :

(i) −3/7

(ii) 5/8

(iii) −9/83

(iv) 115/197

Negative rational numbers are (i) and (iii) .