What is 8 mod 9?

How to compute 8 mod 9?

The simplest approach is to use the "mod" operator (often denoted as "%" in many programming languages), but you could do it manually in the following way:

$\mathrm{Remainder}=N-(M\times \lfloor \frac{N}{M}\rfloor )$

(where N is the dividend, M is the divisor and $\lfloor \frac{N}{M}\rfloor$ represents the integer part of the quotient)

1. 8 / 9 = 0.88888888888889
2. ⌊0.88888888888889⌋ = 0 (We only keep the integer part)
3. 9 × 0 = 0
4. 8 - 0 = 8 (Subtracting gives us the remainder)

In short: 8 − (9 × ⌊8 / 9⌋) = 8

Is 8 divisible by 9?

A number is said to be divisible by another number, if the remainder of the division is zero.

Given that the result of 8 mod 9 is 8, this indicates that dividing 8 by 9 leaves a remainder of 8. Therefore, no, since the remainder isn't zero, 8 is not divisible by 9.