Worksheet on Rational Number for Class 7

Master fraction extensions with our grade 7 printable rational number practice questions. This advanced practice sheet teaches students about positive and negative fractions, decimal representations and operations through systematic methods and problem solving activities. Kids will understand rational number properties and calculations perfectly. Download free Class 7 rational number pdf worksheet, and strengthen numerical understanding.

Solved Questions on Rational Numbers

1. What is the difference between the additive inverse and multiplicative inverse of 5/7?

a) 72/35
b) 74/35
c) −72/35
d) −74/35

Answer: d) −74/35 

Explanation: Additive inverse of 5/7 = − 5/7

Multiplicative inverse of 5/7 = 7/5

Difference between the additive inverse and multiplicative inverse of 5/7
= −5/7 − 7/5
= (−25 −49)/35 [LCM of 7 and 5]
= −74/35

2. Which of the following is a rational number?  

a) 7 − √2
b) 7 − √3
c) 7 − √4
d) 7 − √5

Answer: c) 7 − √4

Explanation: The root of the numbers like √2 , √3  and √5 are irrational numbers.

The difference between a rational number and an irrational number is an irrational number. Hence,  7 − √2 , 7 − √3 and 7 − √5 are irrational numbers.

The difference between two rational numbers is a rational number.

Number: 7 − √4 = 7 − √(2 × 2) = 7 − 2 = 5 = 5⁄₁

7 − √4 is a rational number which is in the form 5⁄₁ where both ‘5’ and ‘1’ are integers and ‘1’ is not equal to zero.

3. What is the result obtained when the additive inverse of 23/11 is multiplied by the multiplicative inverse of the sum of 2/5 and 8/3?

a) −$\frac{\frac{\mathrm{15}}{}}{\frac{\mathrm{11}}{}}$
b) −$\frac{\frac{\mathrm{15}}{}}{\frac{\mathrm{22}}{}}$
c)$\frac{\frac{\mathrm{15}}{}}{\frac{\mathrm{11}}{}}$
d) $\frac{\frac{\mathrm{15}}{}}{\frac{\mathrm{22}}{}}$

Answer: b) −$\frac{\frac{\mathrm{15}}{}}{\frac{\mathrm{22}}{}}$

Explanation: Additive inverse of 23/11 = − 23/11

Sum of 2/5 and 8/3 = 2/5 + 8/3
                                = (6 + 40)/15
                               = 46/15

Multiplicative inverse of the sum of 2/5 and 8/3 = 15/46

Result obtained when the additive inverse of − 23/11 is multiplied by the multiplicative inverse of the sum of 2/5 and 8/3 = − $\frac{\frac{\mathrm{23}}{}}{\frac{\mathrm{11}}{}}$ × $\frac{\frac{\mathrm{15}}{}}{\frac{\mathrm{46}}{}}$
                                                                                                                                                                                = − $\frac{\frac{\mathrm{15}}{}}{\frac{\mathrm{22}}{}}$

4. What are the next three rational numbers in the following pattern?

a) 
b) 
c) 
d) 

Answer: a)
          

Explanation: Multiply the rational number by 2 and divide by 2 to get the next term.

5. The points A, P, Q, R, S, T, U, V, W and B on the number line. If AP = PQ = QR = RS = ST = TU = UV = VW = WB . which rational number is represented by U?

a) ^-1⁄₃
b) ^-5⁄₃
c) ^-1⁄₉
d) ^-5⁄₉

Answer: b) ^-5⁄₃

Explanation: