Question

(251)98 + (21)29 - (106)100 + (705)35 - (16)* + 259 के सरलीकृत रूप में इकाई का अंक क्या होगा? (a)1 (b) 4 (c)5 (d)6. ​

Answer 1

Answer:

4

Step by step explanation:

We consider only unit digits:

I. e. $(1) {}^{98} + {1}^{29} - {6}^{100} + {5}^{35} - 6 {}^{4} + {9}^{1}$

and we know that for,

• Any power of 1 is 1,
• Any unit digit of value of power of 6 is 6(i.e. ${6}^{1} = 6$, ${6}^{2} = 36$, ${6}^{3} = 216$)

As we see, unit digit in every power value is 6.

• Similarly, any unit digit of value of power of 5 is 5.

So put the values,

=$1 + 1 - 6 + 5 - 6 + 9$

= $4$

So the unit digit is 4.

THANK YOU

HAVE A NICE DAY

PLEASE MARK ME AS BRAINLIEST