Simplify $-2\times 6\times 7$ in $mod 13$

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Odinaka_OTyro

Asked: January 7, 20212021-01-07T16:11:00+00:00 2021-01-07T16:11:00+00:00In: Arithmetic, Numbers and Combinatorics

Simplify $-2\times 6\times 7$ in $mod 13$

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Simplify $-2\times 6\times 7$ in $mod 13$

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Sengemegz · Accepted Answer · 2021-01-08T20:05:36+00:00

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Sengemegz Moderator

2021-01-08T20:05:36+00:00Added an answer on January 8, 2021 at 8:05 pm

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$-2\times 6\times 7$ in $mod 13$
$\Rightarrow -2\times 6\times 7=-84$ in $mod 13$
next look for the number that will multiple 13 to give 84 or a number close to 84 but not more than 84
$\Rightarrow 13 \times 6=78$
$\Rightarrow -84+78=-6$
Since the number is negative (-6), add the modulus to it
$\Rightarrow -6+13=7$
$\Rightarrow -2\times 6\times 7\equiv 7$ in $mod 13$

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Simplify $-2\times 6\times 7$ in $mod 13$