Congruence (Number Theory)/Examples/1.6 congruent to 0.6 Modulo 1
Jump to navigation
Jump to search
Example of Congruence Modulo an Integer
- $1 \cdotp 6 \equiv 0 \cdotp 6 \pmod 1$
Proof
\(\ds 1 \cdotp 6\) | \(=\) | \(\ds 1 \times 1 + 0 \cdotp 6\) | ||||||||||||
\(\ds \leadsto \ \ \) | \(\ds 1 \cdotp 6\) | \(\equiv\) | \(\ds 0 \cdotp 6\) | \(\ds \pmod 1\) |
$\blacksquare$
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): congruence modulo $n$ (C.F. Gauss, 1801)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): congruence modulo $n$ (C.F. Gauss, 1801)