Write the cubes of all natural numbers between 1 and 10 and verify the

1.	Write the cubes of all natural numbers between 1 and 10 and verify the following statements:(i) Cubes of all odd natural numbers are odd.(ii) Cubes of all even natural numbers are even
Answer» 1³ = 1 × 1 × 1 = 1 2³ = 2 × 2 × 2 = 8 3³ = 3 × 3 × 3 = 27 4³ = 4 × 4 × 4 = 64 5³ = 5 × 5 × 5 = 125 6³ = 6 × 6 × 6 = 216 7³ = 7 × 7 × 7 = 343 8³ = 8 × 8 × 8 = 512 9³ = 9 × 9 × 9 = 729 10³ = 10 × 10 × 10 = 1000 Hence , it is clear that , (i) Cubes of all odd natural numbers are odd. (ii) Cubes of all even natural numbers are even.

Write the cubes of all natural numbers between 1 and 10 and verify the following statements:(i) Cubes of all odd natural numbers are odd.(ii) Cubes of all even natural numbers are even

Answer»

1³ = 1 × 1 × 1

= 1

2³ = 2 × 2 × 2

= 8

3³ = 3 × 3 × 3

= 27

4³ = 4 × 4 × 4

= 64

5³ = 5 × 5 × 5

= 125

6³ = 6 × 6 × 6

= 216

7³ = 7 × 7 × 7

= 343

8³ = 8 × 8 × 8

= 512

9³ = 9 × 9 × 9

= 729

10³ = 10 × 10 × 10

= 1000

Hence , it is clear that ,

(i) Cubes of all odd natural numbers are odd.

(ii) Cubes of all even natural numbers are even.