Question

the unit digit of the cube of 12 is ____.​

Answer 1

SOLUTION

TO FILL IN THE BLANK

The unit digit of the cube of 12 is ___

EVALUATION

We know that

$\sf {a}^{3} = a \times a \times a$

Now

If last digit of a number is 0 then last three digit of cube of the number is 000

If last digit of a number is 1 then unit digit of cube of the number is 1

If last digit of a number is 2 then unit digit of cube of the number is 8

If last digit of a number is 3 then unit digit of cube of the number is 7

If last digit of a number is 4 then unit digit of cube of the number is 4

If last digit of a number is 5 then unit digit of cube of the number is 5

If last digit of a number is 6 then unit digit of cube of the number is 6

If last digit of a number is 7 then unit digit of cube of the number is 3

If last digit of a number is 8 then unit digit of cube of the number is 2

If last digit of a number is 9 then unit digit of cube of the number is 9

Here the given number = 12

The digit in unit's place of a number = 2

$\sf {2}^{3} = 8$

So the digit at unit place in its cube is 8

From above we can conclude that If last digit of a number is 2 then unit digit of cube of the number is 8

FINAL ANSWER

The unit digit of the cube of 12 is 8

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