Math, asked by anjalidevir42, 4 months ago

15) The one's digit of the cube
of the number 242 is​

Answers

Answered by joinfasthsjsj126337
2

Answer:

PLEASE TICK BRILLIANT

PLEASE TICK BRILLIANT

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Answered by pifedo1694
1

Answer:

The one's digit of the cube  of the number 242 is​ 8.

Step-by-step explanation:

Last digit of 242 is 2

Now, observe the last digits of the powers of 2.

Power of 2 --> Value --> Last digit

     1            -->    2      --> 2

     2           -->    4      --> 4

     3            -->    8      --> 8

     4            -->   16      --> 6

     5            -->    32     --> 2

This cycle continues.

In general, it can be said that the last digit of 2 raised to the power of a number of the form:

(i) 4k is 6

(ii) 4k + 1 is 2

(iii) 4k + 2 is 4

(iv) 4k + 3 is 8

3 = 4(0) + 3

So, last digit of 242 cubed is 8.

VERIFICATION: 242^3 = 14172488

MARK AS BRAINLIEST!!!!!!!!!

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