2313: Wrong Times Table

2020-05-29T20:52:35Z

Plasmabot: added bit about commutativity

{{comic
| number = 2313
| date = May 29, 2020
| title = Wrong Times Table
| image = wrong_times_table.png
| titletext = Deep in some corner of my heart, I suspect that real times tables are wrong about 6x7=42 and 8x7=56.
}}

==Explanation==
{{incomplete|Created by 6x7. Please mention here why this explanation isn't complete. Do NOT delete this tag too soon.}}
A "times table" (or {{w|multiplication table}}) is a table used to define multiplication between numbers. Typically, elementary school children are taught to memorize the table as part of learning arithmetic.

In this comic, [[Randall]] "feels" that some values in the table are incorrect and so he supplies his own alternate version of the times table, with incorrect values. It is unclear how his values are derived, as they don't follow a discernible pattern - some values are from adding the multiplicands together, and others seem random.

The times table is symmetric, indicating that Randall's form of multiplication is [[wikipedia:Commutative property|commutative]].

The "correct" times table for the numbers from 1-10 is below:
{| class="wikitable" style="text-align: center;"
! ×
! scope="column" | 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || 10
|-
! scope="row" | 1
| 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || 10
|-
! scope="row" | 2
| 2 || 4 ||6 || 8 || 10 || 12 || 14 || 16 || 18 || 20
|-
! scope="row" | 3
| 3 || 6 || 9 || 12 || 15 || 18 || 21 || 24 || 27 || 30
|-
! scope="row" | 4
| 4 || 8 || 12 || 16 || 20 || 24 || 28 || 32 || 36 || 40
|-
! scope="row" | 5
| 5 || 10 || 15 || 20 || 25 || 30 || 35 || 40 || 45 || 50
|-
! scope="row" | 6
| 6 || 12 || 18 || 24 || 30 || 36 || 42 || 48 || 54 || 60
|-
! scope="row" | 7
| 7 || 14 || 21 || 28 || 35 || 42 || 49 || 56 || 63 || 70
|-
! scope="row" | 8
| 8 || 16 || 24 || 32 || 40 || 48 || 56 || 64 || 72 || 80
|-
! scope="row" | 9
| 9 || 18 || 27 || 36 || 45 || 54 || 63 || 72 || 81 || 90
|-
! scope="row" | 10
| 10 || 20 || 30 || 40 || 50 || 60 || 70 || 80 || 90 || 100
|}

==Transcript==
{{incomplete transcript|Do NOT delete this tag too soon.}}
:[Caption above table:]
:<big>Wrong Times Table</big>
:The incorrect answers that feel most right to me

{| class="wikitable" style="text-align: center;"
!
! scope="column" | 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || 10
|-
! scope="row" | 1
| 0 || 1/2 || 4 || 5 || 6 || 7 || 8 || 9 || 10 || 9
|-
! scope="row" | 2
| 1/2 || 8 ||5 || 6 || 12 || 14 || 12 || 18 || 19 || 22
|-
! scope="row" | 3
| 4 || 5 || 10 || 16 || 13 || 12 || 24 || 32 || 21 || 33
|-
! scope="row" | 4
| 5 || 6 || 16 || 32 || 25 || 25|| 29 || 36 || 28 || 48
|-
! scope="row" | 5
| 6 || 12 || 13 || 25 || 50 || 24 || 40 || 45 || 40 || 60
|-
! scope="row" | 6
| 7 || 14 || 12 || 25 || 24 || 32 || 48 || 50 || 72 || 72
|-
! scope="row" | 7
| 8 || 12 || 24 || 29 || 40 || 48 || 42 || 54 || 60 || 84
|-
! scope="row" | 8
| 9 || 18 || 32 || 36 || 45 || 50 || 54 || 48 || 74 || 56
|-
! scope="row" | 9
| 10 || 19 || 21 || 28 || 40 || 72 || 60 || 74 || 72 || 81
|-
! scope="row" | 10
| 9 || 22 || 33|| 48 || 60 || 72 || 84 || 56 || 81 || 110
|}

{{comic discussion}}
[[Category:Math]]

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2313: Wrong Times Table