Simplify $5\times 4+3$ in $mod 11$

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Odinaka_OTyro

Asked: January 7, 20212021-01-07T16:30:56+00:00 2021-01-07T16:30:56+00:00In: Arithmetic, Numbers and Combinatorics

Simplify $5\times 4+3$ in $mod 11$

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Simplify $5\times 4+3$ in $mod 11$

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Sengemegz · Accepted Answer · 2021-01-07T21:07:19+00:00

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Sengemegz Moderator

2021-01-07T21:07:19+00:00Added an answer on January 7, 2021 at 9:07 pm

$5\times 4+3$ in $mod 11$
$\Rightarrow 5\times 4+3=23$ in $mod 11$
next look for the number that will multiple 11 to give 23 or a number close to 23 but not more than 23
$\Rightarrow 11 \times 2=22$
What must be added to 22 to make it 23 is 1
$\therefore 5\times 4+3\equiv 1$ in $mod 11$

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Simplify $5\times 4+3$ in $mod 11$