1311 Shares

9th Grade Geometry Help?

9th Grade Geometry Help? Topic: Remainder math homework
June 15, 2019 / By Jordie
Question: Hello, I'm doing math homework right now and i have stumbled on to this problem: What is the last digit of 2*85 (2 to the 85th power). Please help me, and explanations would be very much appreciated. Thank You. yes, it's actually honors, but we're only starting it because school started yesterday.
Best Answer

Best Answers: 9th Grade Geometry Help?

Hanael Hanael | 10 days ago
base 2 follows a pattern 2^1=2 2^2=4 2^3=8 2^4=16 2^5=32 2^6=64 2^7=128 2^8=256 as you can see the last digit alternates in the pattern 2,4,8,6,2,4,8,6 forever. this pattern is a repeating unit of 4 digits in length so you see how many lots of 4 go evenly into 85. the answer is 21 lots although this part is unimportant. the remainder is 1 so the 85th power will have the same last digit as the first character.i.e the last digit will be a 2 hope that helped
👍 148 | 👎 10
Did you like the answer? 9th Grade Geometry Help? Share with your friends

We found more questions related to the topic: Remainder math homework


Hanael Originally Answered: 9th Grade Geometry Help?
base 2 follows a pattern 2^1=2 2^2=4 2^3=8 2^4=16 2^5=32 2^6=64 2^7=128 2^8=256 as you can see the last digit alternates in the pattern 2,4,8,6,2,4,8,6 forever. this pattern is a repeating unit of 4 digits in length so you see how many lots of 4 go evenly into 85. the answer is 21 lots although this part is unimportant. the remainder is 1 so the 85th power will have the same last digit as the first character.i.e the last digit will be a 2 hope that helped

Edgar Edgar
You should use (shift + 6) for power of: 2^1 = 2 2^2 = 4 2^3 = 8 2^4 = 16 2^5 = 32 2^6 = 64 The pattern is 2, 4, 8, 6, 2, 4, 8, 6 etc... On 2^84, the last digit is 6 because the it is a multiple of 4 which means it's the last one in the pattern. That means the next one must be 2 because the pattern starts over so 2^85 ends in 2.
👍 50 | 👎 6

Calvin Calvin
powers of 2 (starting at 1) 2 , 4, 8 , 16, 32, 64, 128 , 256 .... Notice how the last digit cycles 2,4,8,6,2,4,8,6 ..... repeating after every 4th power. 2^85 = 2^(21*4 + 1) = 2^(21*4) * 2^1 2 raised to any power which is a multiple of 4 gives a number ending in 6. One more power of 2 then gives you something that ends in 2.
👍 41 | 👎 2

Alfrid Alfrid
2^85 [^ indicates to the power] now 2^2=4 2^3=8 2^4=16 2^5=32 last digits are 4,8,6,2 2^6=64 2^7=128 2^8=256 2^9=512 last digits are 4,8,6,2 similarly every fourth power after 2^9 will have last digit as 2 i,e 2^13,2^17,2^21,2^25...2^49.... .....2^85 will have last digit as 2
👍 32 | 👎 -2

Tamsen Tamsen
it relies upon at ur college. At my college I took Algebra a million in 9th grade yet then took Geometry over the summer season so now i'm taking Algebra 2 in tenth grade. At my college that's progressed.
👍 23 | 👎 -6

Richarda Richarda
Haha You go: 2 x 2 x 2 x 2 x .................2^85... There is no easy way lady! Sorry And this problem just can't be a ninth grade problem
👍 14 | 👎 -10

Richarda Originally Answered: Correct/grade my short mystery story! grade 7, due tomorrow! (about 250 words) EASY 10 PTS?
I think it is awesome! I am in Honors English, and it is just as good. And to answer the question even though I dont have to.. It was Ling, obviously.. #1 Her eyes widened and she seemed subtle..

If you have your own answer to the question remainder math homework, then you can write your own version, using the form below for an extended answer.