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Evaluate 893 + 412 ext (mod 4).

Mathematics

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Question 17: Evaluate 893+412(mod4)893 + 412 \pmod{4}.

  1. Add the numbers.

    893+412=1305893 + 412 = 1305
  2. Find the remainder when 1305 is divided by 4.

    To find the remainder when dividing by 4, we only need to consider the last two digits of the number.

    1305(mod4)≡05(mod4)1305 \pmod{4} \equiv 05 \pmod{4} 5÷4=1 with a remainder of 15 \div 4 = 1 \text{ with a remainder of } 1

    So, 1305≡1(mod4)1305 \equiv 1 \pmod{4}.

    The final

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