Simplify $35\times -6$ in $mod 3$

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Odinaka_OTyro

Asked: January 7, 20212021-01-07T16:24:55+00:00 2021-01-07T16:24:55+00:00In: Arithmetic, Numbers and Combinatorics

Simplify $35\times -6$ in $mod 3$

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Simplify $35\times -6$ in $mod 3$

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Sengemegz · Accepted Answer · 2021-01-08T19:32:43+00:00

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Sengemegz Moderator

2021-01-08T19:32:43+00:00Added an answer on January 8, 2021 at 7:32 pm

$36\times -6$ in $mod 3$
$\Rightarrow 36\times -6=-216$ in $mod 3$
next look for the number that will multiple 3 to give 216 or a number close to 216 but not more than 216
$\Rightarrow 3 \times 72=216$
$\Rightarrow -216+216=0$
$\therefore 36\times -6\equiv 0$ in $mod 3$

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Simplify $35\times -6$ in $mod 3$