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45 mod 10 – Remainder of 45 Divided by 10

45 mod 10, 45 modulo 10 as well as 45 modulus 10 all mean the same: 🙂

The remainder of the (Euclidean) division of 45 by 10.

45 mod 10 = 5

What is 45 modulo 10?

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

So, the answer is:

45 modulo 10 = 5


Next, we show you the math.

How is 45 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 45 / 10 called quotient: 4
  2. Multiply the quotient by the divisor: 4 × 10 = 40
  3. Subtract the result from step 2 from the dividend: 45 – 40 = 5

Proof: 5 = (4 × 10) + 5.

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