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5 mod 10 – Remainder of 5 Divided by 10

5 mod 10, 5 modulo 10 as well as 5 modulus 10 all mean the same: 🙂

The remainder of the (Euclidean) division of 5 by 10.

5 mod 10 = 5

What is 5 modulo 10?

  • 5 is the dividend
  • 10 is the divisor (modulo)
  • 5 is the remainder

So, the answer is:

5 modulo 10 = 5


Next, we show you the math.

How is 5 mod 10 Calculated?

Any decimal number is made up of a whole part, followed by a decimal point, followed by its decimal digits.

Conduct the three steps below:

  1. Take the whole part of 5 / 10 called quotient: 0
  2. Multiply the quotient by the divisor: 0 × 10 = 0
  3. Subtract the result from step 2 from the dividend: 5 – 0 = 5

Proof: 5 = (0 × 10) + 5.

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– Article written by Mark