How does one determine modulo without a calculator in cases like this:
157−135(mod14)
Normally I would simply divide what is given by the modulo number and take the decimal output and times it by the modulo number. How can I work out 157−135(mod14) without the use of a calculator?
Now what I am thinking is:
15≅1mod14
157≅1mod14
13≅−1mod14
132≅1mod14
135≅−1mod14
[157−135(mod14)]=1(mod14)+1(mod14)=2mod14
Is that right?
Answer
Yes, that's correct! [157−135](mod14)=2(mod14)
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