Evaluate $21-3$ in $mod 11$

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Odinaka_OTyro

Asked: January 7, 20212021-01-07T15:44:42+00:00 2021-01-07T15:44:42+00:00In: Arithmetic, Numbers and Combinatorics

Evaluate $21-3$ in $mod 11$

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Evaluate $21-3$ in $mod 11$

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Sengemegz · Accepted Answer · 2021-01-09T20:14:21+00:00

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Sengemegz Moderator

2021-01-09T20:14:21+00:00Added an answer on January 9, 2021 at 8:14 pm

$21-3$ in $mod 11$
$\Rightarrow 21-3=18$ in $mod 11$
next look for the number that will multiple 11 to give 18 or a number close to 18 but not more than 18
$\Rightarrow 11 \times 1=11$
What must be added to 11 to make it 18? is 7
$\therefore 21-3\equiv 7$ in $mod 11$

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