I already asked this question earlier in the week and Isubmitted my answer and w
ID: 3093432 • Letter: I
Question
I already asked this question earlier in the week and Isubmitted my answer and was told it was wrong. Can anyone help meanswer this question by midnight tonight? What is the remainder of 10 to the 98th power minus 1 alldivided by 11? Remember the remainder is what is left over afteryou divide by 11. So the answer must be from 0 to 10 This is basically what my answer was "Here is my answer and explanation. ((10^98)- 1)/11= 9.09*10^96. Take 10^98 or 1.0*10^98; subtract 1 whichequals 1.0*10^98; then divide by 11.= 9.09090909 x 10^96 Thank you, doodlebug77 I already asked this question earlier in the week and Isubmitted my answer and was told it was wrong. Can anyone help meanswer this question by midnight tonight? What is the remainder of 10 to the 98th power minus 1 alldivided by 11? Remember the remainder is what is left over afteryou divide by 11. So the answer must be from 0 to 10 This is basically what my answer was "Here is my answer and explanation. ((10^98)- 1)/11= 9.09*10^96. Take 10^98 or 1.0*10^98; subtract 1 whichequals 1.0*10^98; then divide by 11.
= 9.09090909 x 10^96 Thank you, doodlebug77 Thank you, doodlebug77
Explanation / Answer
Please understand that people try to do their best when answeringquestions. Don't criticize if you yourself weren't even able toanswer the question. You are getting help. Appreciate it. Aside from that; okay, this isn't as hard as you think. You couldeven write up a pattern as would be a good idea with HUGE numbers.So we could try this: What is 10 mod 11 (mod or "%" meaning remainder of 10/11)? 10%11 = 10 Now, I'm sure you can see that. Now what about 10^2? Well, 10^2%11 = 100%11 = 1 That's not too difficult to see either. Now let's keep going: 10^3%11 = 10 10^4%11 = 1 10^5%11 = 10 10^6%11 = 1 So, we see a pattern. For all the even powers of ten, we have aremainder of 1, while the odd powers of ten have a remainder of 10.So we can conclude that 10^98%11 = 1 So we have a remainder of 1. I hope this helps!
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.