Question

What is the last digit of (764 - 847)437
02
O4
06
he​

Answer 1

Given :  (764 - 847)437

or

 (764 - 847)⁴³⁷

To Find :  Last Digit

Solution:

(764 - 847)437

= ( -83) 437

3 * 7 = 21  

Hence Last Digit is  1

 (764 - 847)⁴³⁷

= (-83)⁴³⁷

3¹  = 3      

3² = 9      

3³ = 27    

3⁴ = 81

and then last digit repeats in same pattern

437 = 4 * 109 + 1

(-83)⁴³⁷

= (-83⁴)¹⁰⁹ * 83¹

(-83⁴)¹⁰⁹ end with 1

83¹ ends with 1

1 * 3 = 3

Hence unit digit of (764 - 847)⁴³⁷  is 3

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