Casting Out Nines/Examples

Examples of Use of Casting Out Nines

$347$ and $514$

We have:

\(\ds \dr {347}\) \(=\) \(\ds 5\)
\(\ds \dr {514}\) \(=\) \(\ds 1\)
\(\ds \leadsto \ \ \) \(\ds \dr {347 \times 514}\) \(=\) \(\ds 5 \times 1\) \(\ds = 5\)


$61 \, 934$ and $38 \, 247$

We have:

\(\ds \dr {61 \, 934}\) \(=\) \(\ds 5\)
\(\ds \dr {38 \, 247}\) \(=\) \(\ds 6\)
\(\ds \leadsto \ \ \) \(\ds \dr {61 \, 934 + 38 \, 247}\) \(=\) \(\ds 2\)
\(\ds \dr {61 \, 934 - 38 \, 247}\) \(=\) \(\ds 8\)
\(\ds \dr {61 \, 934 \times 38 \, 247}\) \(=\) \(\ds 3\)