Math, asked by vicky2186, 1 year ago

how to find the value of modulus

Answers

Answered by shuvashree
0
by determination method
Answered by Anonymous
0

When you see "modulo", especially if you are using a calculator, think of it as the remainder term when you do division.


Examples:


The result of 10 modulo 5 is 0 because the remainder of 10 / 5 is 0.


The result of 7 modulo 5 is 2 because the remainder of 7 / 5 is 2.


The reason your calculator says 113 modulo 120 = 113 is because 113 < 120, so it isn't doing any division.


More generally, the idea is that two numbers are congruent if they are the same modulo a given number (or modulus)


For example, as above, 7≡2mod57≡2mod5 where 55 is our modulus.


Another issue is that of inverses, which is where the confusion of 1/171/17 comes in.


We say that aa and bb are inverses modulo nn, if ab≡1modnab≡1modn, and we might write b=a−1b=a−1.


For example 17⋅113=1921=120⋅16+1≡1mod12017⋅113=1921=120⋅16+1≡1mod120, so 17−1=11317−1=113 modulo 120120.

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