Uploaded November 2025 | Updated September 2026, 3 weeks ago
In this video I show that the "vortex sum" of a number (summing up the digits until obtaining a single digit is obtained) is just the remainder when dividing the number by 9. I go over a couple of examples while also illustrating why this is the case by writing the transition numbers 10, 100 as (9 + 1), (99 + 1). I will prove this is always the case when in later videos when I cover the modulo function. Note that I denote "v=" when taking the vortex sum.
#math #vortexmath #modulararithmetic #algebra #education
Timestamps:
- Summing integer digits and the remainder after division. "v=" = "vortex sum" – 0:00
- 11 = 10 + 1 = (9 + 1) + 1 = 9 + (1 + 1) = 9 + 2 – 0:55
- Dividing 11 by 9 we get 1.222... – 1:32
- The 2 is the remainder – 2:55
- 678 v= 6 + 7 + 8 = 21 v= 2 + 1 = 3. 678/9 = 75.333... – 3:25
- Deriving in MES fraction form, separating transition "10" numbers into "9 + 1" – 4:10
- Factoring out the 9s in the denominator – 6:10
- Repeat division of 21/9 – 8:15
- Remainder is always the same as the vortex sum – 10:41
Notes and playlists:
- Summary: inleo.io/threads/view/mes/re-leothreads-2stpi3pdw
- Notes: peakd.com/hive-128780/@mes/messcience-2-vortex-math-part-1-number-theory-and-modular-arithmetic
- Vortex Math playlist: youtube.com/playlist?list=PLai3U8-WIK0EbRnMsUBx2RxlerL7GQuLX
- MES Science playlist: youtube.com/playlist?list=PLai3U8-WIK0GhjCHmTw1XbqMD_EdVKdd9 .
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In this video I show that the "vortex sum" of a number (summing up the digits until obtaining a single digit is obtained) is just the remainder when dividing the number by 9. I go over a couple of examples while also illustrating why this is the case by writing the transition numbers 10, 100 as (9 + 1), (99 + 1). I will prove this is always the case when in later videos when I cover the modulo function. Note that I denote "v=" when taking the vortex sum.
#math #vortexmath #modulararithmetic #algebra #education
Timestamps:
- Summing integer digits and the remainder after division. "v=" = "vortex sum" – 0:00
- 11 = 10 + 1 = (9 + 1) + 1 = 9 + (1 + 1) = 9 + 2 – 0:55
- Dividing 11 by 9 we get 1.222... – 1:32
- The 2 is the remainder – 2:55
- 678 v= 6 + 7 + 8 = 21 v= 2 + 1 = 3. 678/9 = 75.333... – 3:25
- Deriving in MES fraction form, separating transition "10" numbers into "9 + 1" – 4:10
- Factoring out the 9s in the denominator – 6:10
- Repeat division of 21/9 – 8:15
- Remainder is always the same as the vortex sum – 10:41
Notes and playlists:
- Summary: inleo.io/threads/view/mes/re-leothreads-2stpi3pdw
- Notes: peakd.com/hive-128780/@mes/messcience-2-vortex-math-part-1-number-theory-and-modular-arithmetic
- Vortex Math playlist: youtube.com/playlist?list=PLai3U8-WIK0EbRnMsUBx2RxlerL7GQuLX
- MES Science playlist: youtube.com/playlist?list=PLai3U8-WIK0GhjCHmTw1XbqMD_EdVKdd9 .
------------------------------------------------------
Become a MES Super Fan! youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: peakd.com/@mes
Email me: contact@mes.fm
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
