Math, asked by gursharansingh5377, 5 months ago

find the digit at unit place of cube of 5321

Answers

Answered by pranithranga1710
3

Answer:

Step-by-step explanation:

The last digit of 5321 is 1.

The cube of the last digit is = 1³ = 1

Therefore, the digit at the unit place of the cube of 5321 is 1.

Some other examples are:

A) 121

Unit digit of 121 is 1.

The digit at the unit's place of the cube is also 1.

B) 25

Unit digit of 25 is 5.

The digit at the unit's place of the cube is also 5.

Answered by amitnrw
0

Given :  5321³

To Find : Digit at unit Place

Solution:

0³ = 0  ends with 0

1³  = 1    ends with 1

2³ = 8    end with 8

3³ = 27  ends with 7

4³ = 64  ends with 4

5³ = 125  ends with 5

6³ = 216  ends with 6

7³ = 343  ends with 3

8³ = 512  ends with 2

9³ = 729  ends with 9

As 5321 ends with 1

Hence 5321³  ends with 1

unit place of cube of 5321 is  1

Another way

5321³

= (5320 + 1)³

using (a + b)³ = a³ + b³  + 3ab(a + b)  

a = 5320

b = 1

=  5320³ + 1³  +  3(5320)(1)(5320 + 1)

=  10³ x 532³  + 10 x 3 x  532 (5321)  + 1

= 10 x 100 x 532³ + 10 x 3 x  532 (5321) + 1

= 10 (  100 x 532³ + 3 x  532 (5321) ) + 1

= 10k + 1

Hence Digit at unit place is 1

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