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Enter a mod b statement(s)

Simplify the following:

27 mod 10

Define modulus:

Remainder of a ÷ b

In this case, a = 27 and b = 10

Calculate whole number part:

10 goes into 27 a total of 2 times

10 x 2 = 20

Calculate remainder part:

Remainder = a - whole number

Remainder = 27 - 20

27 mod 10 ≡ 7

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Excel or Google Sheets formula:
Excel or Google Sheets formula:=MOD(27,10)

What is the Answer?

27 mod 10 ≡ 7

How does the Modulus Calculator work?

Free Modulus Calculator - Given 2 integers a and b, this modulo calculator determines a mod b or simplifies modular arithmetic such as 7 mod 3 + 5 mod 8 - 32 mod 5
This calculator has 1 input.

What 1 formula is used for the Modulus Calculator?

amodb = Remainder after a ÷ b

For more math formulas, check out our Formula Dossier

What 2 concepts are covered in the Modulus Calculator?

modulusthe remainder of a division, after one number is divided by another.
a mod bremainderThe portion of a division operation leftover after dividing two integers

Example calculations for the Modulus Calculator

Modulus Calculator Video


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