1. What is the remainder when 65544 - 13 is divided by 8?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. What is the remainder when 6544- 13 is divided by 8?
Transcribed Image Text:1. What is the remainder when 6544- 13 is divided by 8?
(1)
65 E1 mod (8)
3544
65
35५५
->
三1
mod (8)
I aE b mod (m)
then a z mod (m)
K
3549
65
E I mod(8)
今
also.
8 divides -16
-13 = 3 mod (8)
a E b mod (m) and
C Ed mod Cm)
Then
ate = btd mod (m)
3544
65
-13 = 1+3 mod (8)
->
3544
65
- 13 E 4 mod (8)
here,
re 4 (remainder.)
Thus,
4 is the remainer whe
653544
- 13 is
divided by 8.
Transcribed Image Text:(1) 65 E1 mod (8) 3544 65 35५५ -> 三1 mod (8) I aE b mod (m) then a z mod (m) K 3549 65 E I mod(8) 今 also. 8 divides -16 -13 = 3 mod (8) a E b mod (m) and C Ed mod Cm) Then ate = btd mod (m) 3544 65 -13 = 1+3 mod (8) -> 3544 65 - 13 E 4 mod (8) here, re 4 (remainder.) Thus, 4 is the remainer whe 653544 - 13 is divided by 8.
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