Troll Math

Examples I've collected

Simplifying Fractions

16 64 = 16 64 = 1 4
19 95 = 19 95 = 1 5
26 65 = 26 65 = 2 5
49 98 = 49 98 = 4 8 = 1 2
163 326 = 163 326 = 1 2
ln 3.375 ln 2.25 = ln 3.375 ln 2.25 = 3.375 2.25

Approximating Fractions

Concatenate the numerator and denominator.

1 6 ≈ 0.16
3 8 ≈ 0.38
8 9 ≈ 0.89
18 95 ≈ 0.1895
23 96 ≈ 0.2396
48 98 ≈ 0.4898
98 99 ≈ 0.9899
123 992 ≈ 0.123992
198 995 ≈ 0.198995
248 996 ≈ 0.248996
498 998 ≈ 0.498998
998 999 ≈ 0.998999

Multiplication

Multiply digits in the same column without carrying, and concatenate the result.

39876877
×9564546
381404224402842

Finding Roots

x2 = 25 x2 = 25 x = 5
x2 = 121 x2 = 121 x = 11
x = 6√64 x = 6√64 x = √4 x = 2
x = 5√16807 x = 80/16√16807 x = 80/16√16 80 7 x = 7

2x2 Matrix Multiplication

General Solution

ab
cd
×
ef
gh
=
aebf
cgdh

Pairwise Multiplication Examples

36
01
×
54
02
=
1524
02
60
102
×
40
53
=
240
506
source

Pairwise Concatenation Example

34
87
×
72
49
=
3742
8479
source