Question

Which of these numbers always end with the digit 6
(a)4n (b) 6n (c)2n (d) 8n​

Answer 1

Answer:

No number will always end with the digit '6'.

Answer 2

The only number that always ends in the digit 6 is, thus, b) 6n is answer.

We must search for patterns in each number's last digit in order to discover which of the above numbers always ends with the digit 6. The digit at the rightmost end of a number is the final digit, often known as the units digit.

(A) 4n: A multiple of 4 can only have a final digit of 0, 4, 8, or 2. Thus, the digit 6 cannot always complete the number 4n.

(b) 6n: Since 6 is a factor of 10, the final digit of every multiple of 6 is always 6. Hence, the last digit of the integer 6n is always 6.

(c) 2n: Every multiple of 2 may only have a final digit that is either 0, 2, 4, 6, or 8. Thus, the digit 6 cannot always complete the number 2n.

(d) 8n: Only 0, 8, 6, or 2 are permitted as the last digits of any multiple of 8. Thus, the digit 6 cannot always complete the number 8n.

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