Starting from (-1) × 5, write various products showing some pattern to show (-1) ×(-1)=1

Question

Starting from (-1) &#xD7; 5, write various products showing some pattern to show (-1) &#xD7;(-1)=1

Philoid · Accepted Answer

In this question, we have

- 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

Therefore,

- 1 × (-1) = 0 + 1 = 1