Casting Out Nines/Examples/347 and 514

Examples of Use of Casting Out Nines

We have:

$\ds \dr {347}$

$=$

$\ds 5$

$\ds \dr {514}$

$=$

$\ds 1$

$\ds \leadsto \ \ $

$\ds \dr {347 \times 514}$

$=$

$\ds 5 \times 1$

$\ds = 5$

$\ds 347 \times 514$

$=$

$\ds 178 \, 358$

$\ds \leadsto \ \ $

$\ds \dr {347 \times 514}$

$=$

$\ds \dr {178 \, 358}$

$\ds $

$=$

$\ds \dr {1 + 7 + 8 + 3 + 5 + 8}$

$\ds $

$=$

$\ds \dr {32}$

$\ds $

$=$

$\ds \dr {3 + 2}$

$\ds $

$=$

$\ds \dr {5}$

$\ds $

$=$

$\ds 5$

$\ds \dr {347 \times 514}$

$=$

$\ds \dr {5 \times 1}$

$\ds $

$=$

$\ds \dr 5$

$\ds $

$=$

$\ds 5$

$\blacksquare$

2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): casting out nines
2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): casting out nines