Modulo Addition is Well-Defined/Examples/19+6 equiv 11+2 mod 4
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Example of Use of Modulo Addition is Well-Defined
We have:
| \(\ds 19\) | \(\equiv\) | \(\ds 11\) | \(\ds \pmod 4\) | |||||||||||
| \(\ds 6\) | \(\equiv\) | \(\ds 2\) | \(\ds \pmod 4\) | |||||||||||
| \(\ds \leadsto \ \ \) | \(\ds 19 + 6 = 25\) | \(\equiv\) | \(\ds 11 + 2 = 13\) | \(\ds \pmod 4\) |
Sources
- 1971: George E. Andrews: Number Theory ... (previous) ... (next): $\text {4-1}$ Basic Properties of Congruences: Example $\text {4-4}$