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4 mod 10 – Remainder of 4 Divided by 10

4 mod 10, 4 modulo 10 as well as 4 modulus 10 all mean the same: 🙂

The remainder of the (Euclidean) division of 4 by 10.

4 mod 10 = 4

What is 4 modulo 10?

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

So, the answer is:

4 modulo 10 = 4


Next, we show you the math.

How is 4 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 4 / 10 called quotient: 0
  2. Multiply the quotient by the divisor: 0 × 10 = 0
  3. Subtract the result from step 2 from the dividend: 4 – 0 = 4

Proof: 4 = (0 × 10) + 4.

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– Article written by Mark, last updated on January 11th, 2024