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What integer $n$ satisfies $0\le n<18$ and $$n\equiv -11213141\pmod{18}~?$$

 Mar 29, 2019
 #1
avatar+4775 
+1

\(\text{Find }0 \leq n < 18 \ni n \equiv -11213141 \pmod{18}\)

 

\(\dfrac{11213141}{18} = 622952 + \dfrac{5}{18} \text{ so }\\ -11213141 + 622953\cdot 18 = 13 \equiv -11213141 \pmod{18}\)

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 Mar 29, 2019
 #2
avatar+100008 
0

Hi Rom,

What is the back to front e thingy ?

 Mar 29, 2019
 #3
avatar+27653 
+1

Melody, for "the back to front e thingy" read "such that".

Alan  Mar 29, 2019
 #4
avatar+100008 
0

Thanks Alan :)

Melody  Mar 29, 2019

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