Thought for Today

Thought for Today

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Remainder Calculator

Remainder Calculator

Here are some important points about remainders:

  1. The remainder is the amount left over after performing division.
  2. The remainder is always less than the divisor.
  3. The remainder can be zero if the dividend is evenly divisible by the divisor.
  4. The remainder is sometimes expressed using the modulo operator (%).
  5. The remainder is an important concept in number theory and modular arithmetic.
  6. The remainder can be used to determine divisibility and to solve problems in areas such as cryptography, computer science, and engineering.
  7. The remainder can be positive or negative depending on the sign of the dividend and divisor.
  8. The Chinese Remainder Theorem is a famous theorem in number theory that deals with finding a unique solution to a system of congruences with different moduli.
  9. The concept of a remainder can also be extended to fractions using the concept of a fractional part or decimal.
  10. The remainder can be used to express numbers in different bases, such as binary or hexadecimal.

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