Question

the one's digit of the cube of 1257 is​

Answer 1

Answer:

3

Step-by-step explanation:

Let we have a number 7, the unit digit is 7 and the cube of this number is : 7×7×7= 343.

Answer 2

SOLUTION

TO DETERMINE

The one's digit of the cube of 1257

EVALUATION

We know that a³ = a × a × 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 is 1257

One's digit of the number = 7

$\sf {7}^{3} = 343$

One's digit of 343 = 3

Hence one's digit of the cube of 1257 is 3

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