#### Question

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

#### Solution

−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

Is there an error in this question or solution?

Solution Starting from (− 1) × 5, Write Various Products Showing Some Pattern to Show (− 1) × (− 1) =1. Concept: Properties of Multiplication of Integers - Multiplicative Identity.