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

Solution:

Let's generate a pattern as shown below.

(-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

Thus, it is clear that when we multiply a negative integer by a positive integer the result is a negative integer whereas if we multiply a negative integer by a negative integer the result is always a positive integer

☛ Check: NCERT Solutions for Class 7 Maths Chapter 1

Video Solution:

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

NCERT Solutions Class 7 Maths Chapter 1 Exercise 1.3 Question 4

Summary:

Starting from (–1) × 5, the various products showing some pattern to show (–1) × (–1) = 1 are as follows: (-1) × 5 = -5, (-1) × 4 = -4, (-1) × 3 = -3 = , (-1) × 2 = -2 = , (-1) × 1 = -1 = , (-1) × 0 = 0 = , (-1) × -1 = 1

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