1.

The unit's place of a cube of a number is 7.The unit's place of the square of the same number is​

Answer»

GIVEN : The unit's place of a cube of a NUMBER is 7.

To find : The unit's place of the square of the same number.

solution : we see, 1³ = 1, 2³ = 8, 3³ = 27, 4³ = 64, 5³ = 125 , 6³ = 216, 7³ = 343 , 8³ = 512 and 9³ = 729

here it is clear that if unit's place of a number of is 3. then the unit's place of the cube of that number must be 7 [as 3³ = 27]

now after SQUARING of the number, unit's place of the square of that number = (3)² = 9.

Therefore the unit's place of the square of the same number is 9.

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