Evaluate $12-29$ in $mod 7$

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Odinaka_OTyro

Asked: January 7, 20212021-01-07T15:47:22+00:00 2021-01-07T15:47:22+00:00In: Arithmetic, Numbers and Combinatorics

Evaluate $12-29$ in $mod 7$

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Evaluate $12-29$ in $mod 7$

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Sengemegz · Accepted Answer · 2021-01-09T20:02:04+00:00

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Sengemegz Moderator

2021-01-09T20:02:04+00:00Added an answer on January 9, 2021 at 8:02 pm

$12-29$ in $mod 7$
$\Rightarrow 12-29=-17$ in $mod 7$
next look for the number that will multiple 7 to give 17 or a number close to 17 but not more than 17
$\Rightarrow 7 \times 2=14$
$\Rightarrow -17+14=-3$
Since the number gotten is negative (-3), add the modulus to it
$\Rightarrow -3+7\equiv 4$ in $mod 7$

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Evaluate $12-29$ in $mod 7$