| a | a | ( | 1 | + | a | a | ÷ | 100 | ) | ( | 1 | + | a | a | ÷ | 10000 | ) | = | 1 |
| Left side of the equation = | a | a | × | 1 | ( | 1 | + | a | a | ÷ | 10000 | ) | + | a | a | a | a | ÷ | 100 | × | ( | 1 | + | a | a | ÷ | 10000 | ) |
| = | a | a | × | 1 | × | 1 | + | a | a | × | 1 | a | a | ÷ | 10000 | + | a | a |
| = | a | a | × | 1 | + | a | a | × | 1 10000 | a | a | + | a | a | a | a |
| = | a | a | × | 1 | + | a | a | × | 1 10000 | a | a | + | a | a | a | a |
| = | a | a | × | 1 | + | a | a | × | 1 10000 | a | a | + | a | a | a | a |
| a | a | × | 1 | + | a | a | × | 1 10000 | a | a | + | a | a | a | a | = | 1 |