3. What is the value of the digit in the units place of the number $1+9^{2014}$?
3. The powers of the number 9 are $9^{1}=9,9^{2}=81,9^{3}=729,9^{4}=6561, \ldots$

2 POINTS

It is easy to notice that powers with odd exponents have the units digit 9, while powers with even exponents have the units digit 1.

2 POINTS

The number $9^{2014}$ has an even exponent, so its units digit is 1.

1 POINT

Therefore, the number $1+9^{2014}$ has the units digit 2.

1 POINT

TOTAL 6 POINTS