17 is a positive number. The cube of 17, which is 4913, is also a posi

1.	17 is a positive number. The cube of 17, which is 4913, is also a positive number. Cube of -6 is -216. Take some more positive and negative numbers and obtain their cubes. Find the relation between the sign of a number and the sign of its cube.
Answer» Consider, 6³ = 6 × 6 × 6 = 216 and (-4)³ = (- 4) × (- 4) × (- 4) = – 64 Thus, cube of a positive number is positive and cube of a negative number is negative. ∴ Sign of a number = sign of its cube.

17 is a positive number. The cube of 17, which is 4913, is also a positive number. Cube of -6 is -216. Take some more positive and negative numbers and obtain their cubes. Find the relation between the sign of a number and the sign of its cube.

Answer»

Consider, 6³ = 6 × 6 × 6 = 216 and (-4)³ = (- 4) × (- 4) × (- 4) = – 64

Thus, cube of a positive number is positive and cube of a negative number is negative.

∴ Sign of a number = sign of its cube.