Simplify $-2\times 3\times -13$ in $mod 22$

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Odinaka_OTyro

Asked: January 7, 20212021-01-07T16:13:43+00:00 2021-01-07T16:13:43+00:00In: Arithmetic, Numbers and Combinatorics

Simplify $-2\times 3\times -13$ in $mod 22$

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Simplify $-2\times 3\times -13$ in $mod 22$

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Sengemegz · Accepted Answer · 2021-01-08T20:01:19+00:00

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Sengemegz Moderator

2021-01-08T20:01:19+00:00Added an answer on January 8, 2021 at 8:01 pm

$-2\times 3\times -13$ in $mod 22$
$\Rightarrow -2\times 3\times -13=78$ in $mod 22$
next look for the number that will multiple 22 to give 78 or a number close to 78 but not more than 78
$\Rightarrow 22 \times 3=66$
What must be added to 66 to make it 78? is 12
$\therefore -2\times 3\times -13\equiv 12$ in $mod 22$

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Simplify $-2\times 3\times -13$ in $mod 22$