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Understand why↗ Because adding the modulus 12 to -2 gives 10 (−2+12=10). This means -2 and 10 represent the same residue class modulo 12.
Conditions: Work modulo 12.; Allow negative representatives.
Because adding the modulus 12 to -2 gives 10 (−2+12=10). This means -2 and 10 represent the same residue class modulo 12.
Conditions: Work modulo 12.; Allow negative representatives.
Understand why↗ It is true because when 15 is divided by 12, the remainder is 3. This matches the definition of congruence modulo 12 used in the video.
Conditions: Use modulus 12.; Interpret the congruence via the remainder of division by 12.
It is true because when 15 is divided by 12, the remainder is 3. This matches the definition of congruence modulo 12 used in the video.
Conditions: Use modulus 12.; Interpret the congruence via the remainder of division by 12.