Question
Mathematics Question on Properties Of Multiplication Of Integers
Starting from (-1) × 5, write various products showing some pattern to show (-1) × (-1) = 1.
Answer
(-1) × 5 = -5
(-1) × 4 = -4 = (-5) + 1
(-1) × 3 = -3 = (-4) + 1
(-1) × 2 = -2 = (-3) + 1
(-1) × (1) = -1 = (-2) + 1
(-1) × 0 = 0 - (-1) + 1
(-1) × (-1) = 1 = 0 + 1