Have you done step a?
Please post your answers here and we'll help you from there.
a) Evaluate each power 3^1, 3^2, 3^4, 3^5, 3^6
b) Examine the final digit of each of your answers. What pattern do you notice?
c)Use the pattern you found in part b) to determine the final digit in the number 3^3234. Explain.
please & thankyou !
11 answers
Yes, i got 3, 9,27,81, 243,729.
Good.
Now for part b).
The final digits are
3, 9, 7, 1, 3, 9
What pattern do you see?
Now for part b).
The final digits are
3, 9, 7, 1, 3, 9
What pattern do you see?
it is a repeated pattern. The last digits of the total repeat from 3,9,1,
Right.
Now for the last step --
Now for the last step --
I don't know how to do the last step.
step c is the one im struggling with
I'm stuck, too. Please check back to see if one of our math experts can help you.
Btw -- if you'd started with what you know, and then asked about step c), I wouldn't have even attempted an answer.
Btw -- if you'd started with what you know, and then asked about step c), I wouldn't have even attempted an answer.
aw, ok. thankyou though.
well, there is a trick here:Notice when the power of 3 is even, ....
check 3^12 ends in 1
3^10 ends in 9
3^8 ends in 1
3^6 ends in 9
3^4 ends in 1
3^2 ends in 9
3^0 ends in 1
So it alternates. Here the power is 3234. so lets see how many even alterations. Answer, 3234/2=1617, an odd number. Start with the power of zero, any odd number of alterations of this power must end in 9.
check 3^12 ends in 1
3^10 ends in 9
3^8 ends in 1
3^6 ends in 9
3^4 ends in 1
3^2 ends in 9
3^0 ends in 1
So it alternates. Here the power is 3234. so lets see how many even alterations. Answer, 3234/2=1617, an odd number. Start with the power of zero, any odd number of alterations of this power must end in 9.
ohhhhhhhhh. thankyou so much ! you helped me alot !
2 answers