Some beautiful math patterns I figured out the other day (keep scrolling, there’s a bunch):
1 ×7+1=8
12 x7+2=86
123 ×7+3=864
1,234 ×7+4=8642
12,345×7+5=86420
1×4+1=5
13×4+2 = 54
135×4+3 = 543
1,357×4+4 = 5432
13,579×4+5 = 54321
1 = 1
1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
123456789 x 9 + 10 = 1111111111
9 * 9 + 9 + 9 = 99
99 * 99 + 99 + 99 = 9999
999 * 999 + 999 + 999 = 999999
8 * 8 + 8 + 8 + 8 = 88
88 × 88 + 88 + 88 + 88 – 8 + 888 = 8,888
888 × 888 + 8,888 − 8 + 888 + 888+ 888 − 88 + 88,888 = 888,888
77 × 77 + 77 +77 + 777 + 777 + 77+ 77 – 7 − 7 = 7777
777 × 777 + 77,777 + 77,777+ 7,777 + 7,777 + 777 + 777 + 777+ 7 x 77 + 77 − 7 = 777,777
7× 777−7 = 5432
7× 7,777−7 = 54432
7× 77777−7 = 544432
7×777,777−7 = 5444432
666 × 666 + 66,666 + 66,666 + 66,666 + 6,666 + 6,666 + 6,666 + 666 + 666 + 666 + 666 + 6 × 66 + 6 × 6 + 6 + 6 + 6 = 666,666
555 × 555 + 5 × 55,555 − 55,555+ 5,555 + 5,555 + 5,555 + 5,555 + 5× 555 + 5 × 55 + 5 × 5 + 5 + 5 + 5 = 555,555
444 × 444 + 444 × 444 + 44 × 444+ 44 × 444 + 4 × 4 × 444 + 4,444− 444 − 4 = 444,444
3×333×333 + 333 + 333 = 333,333
222×222×22×2 + 22,222×2 + 2,222×2×2 + 222×2− 2×22 − 2x2x2 + 2 = 2,222,222
111×111 − 1,111 − 111 + 11 + 1 = 11,1111,111×1,111 − 111,111 − 11,111 − 1,111 + 111 + 11 + 1 = 1,111,111
123×123 − 12×123 − 123×12 + 12×12 + 12 + 12 = 12,34512,345×12,345 − 1,234×12,345 − 1,234×12,345 + 123×12,345 + 1,234×5 + 123×4 + 123+4 = 123,456,789
987×654 + 98×765 + 9,876×5+ 98×76 + 9×87 − 987 + 98×7 − 9+8 = 777,777
12×12−123×1 = 21123×123−1,234×12 = 3211,234×1,234−12,345×123 = 4,321
12,345×12,345−123,456×1,234 = 54,321
123,456×123,456−1,234,567×12,345 = 654,321
1,234,567×1,234,567−12,345,678×123,456 = 7,654,321
12,345,678×12,345,678−123,456,789×1,234,567 = 87654321
11×11,223,344+5 = 123,456,789
11x 11 = 121
111x 111 = 12321
1,111x 1,111 = 1234321
11,111x 11,111 = 123454321
111,111×111,111 = 12345654321
123,456,789×3+ 3 = 370,370,370
123,456,789×6+ 6 = 740,740,740
123,456,789×8+ 9 = 987,654,321
123,456,789×9+10 = 1,111,111,111
987,654,321×9 – 1 = 8,888,888,888
987,654,321×81-1 = 80,000,000,000