| A | B |
| (-3) + ((-5)+(+1)) = (-3)+(-4) | ' + ' intern in Z |
| (-5) + ((-7) + (+2)) = ((-5)+(-7)) + (+2) | ' + ' associatief in Z |
| (-8) + 0 = -8 | 0 neutraal element in Z,+ |
| -8 + 8 = 0 = 8 + (-8) | elk element heeft symmetrische element in Z,+ |
| -8 + (+8) = 8 + (-8) | ' + ' commutatief in Z |
| (-6) . (+6) = -36 | ' . ' intern in Z |
| (5.7).3 = 5.7.3 | ' . ' associatief in Z |
| 7 . 1 . 8 = 7 . 8 | 1 neutraal element in Z, . |
| -8(2+7) = -16 - 56 | ' . ' distributief t.o.v. ' + ' in Z |
| 12 . 10 . 0 . 5 . 1 = 0 | 0 opslorpend element in Z,. |
| (-5) - (-6) = 1 | ' - ' intern in Z |
| (+4 - (+6) ) . (-1) = - 4 + 6 | ' . ' distributief t.o.v. ' - ' in Z |
| (-5) : (-10) = 0,5 | ' : ' is niet intern in Z |
| (+1) + ((-9)+(-4)) = (+1)+(-4)+(-9) | ' + ' is commutatief en associatief in Z |