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7. Cubes and Cube Roots
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Q2 of 45 Page 7

Write cubes of all natural numbers between 1 and 20 and verify the following statements: (a) Cubes of all odd natural numbers are odd.
(b) Cubes of all even natural numbers are even.

(2)3 = 8, (3)3= 27, (4)3= 64, (5)3 = 125, (6)3 = 216, ... (19)3=6859.
(a) Yes, cubes of all odd natural numbers are odd.
(b) Yes, cubes of all even natural numbers are even.

More from this chapter

All 45 →
1 Find the cubes of the following numbers:  (i) 7, (ii) 12, (iii) 21, (iv) 100, (v) 302 3 Write cubes of 5 natural numbers which are multiples of 3 and verify the following:
'The cube of natural number, which is a multiple of 3 is a multiple of 27'.
4 Write cubes of 5 natural numbers which are of the form 3n+1 (e.g 4, 7, 10, ...) and verify the following: 'The cube of a natural number of the form 3n +1 is a natural number of the same form'. 5 Write cubes of 5 natural numbers which are of the form 3n + 2 (e.g. 5, 8, 11, …) and verify the following: 'The cube of a natural number of the form 3n + 2 is a natural number of the same form'.
Questions · 45
7. Cubes and Cube Roots
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
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