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10 mod 7, 10 modulo 7 as well as 10 modulus 7 all mean the same: 🙂
The remainder of the (Euclidean) division of 10 by 7.
What is 10 modulo 7?
- 10 is the dividend
- 7 is the divisor (modulo)
- 3 is the remainder
So, the answer is:
Next, we show you the math.
How is 10 mod 7 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:
- Take the whole part of 10 / 7 called quotient: 1
- Multiply the quotient by the divisor: 1 × 7 = 7
- Subtract the result from step 2 from the dividend: 10 – 7 = 3
Proof: 3 = (1 × 7) + 3.
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