Starting from (-1) × 5, write various products showing some pattern to show (-1) × (-1) = 1.
Integers are both negative and positive. The operations perfomed on different integers depend on the properties of integers.
Answer: The pattern shown by the numbers starting with the product (-1) × 5 to (-1) × (-1) = 1 is that the numbers increase by 1 as we move further.
Let's now find the required value of x from the given equation.
Explanation:
Let's first find the products:
(-1) × 5 = -5
(-1) × 4 = -4
(-1) × 3 = -3
(-1) × 2 = -2
(-1) × 1 = -1
(-1) × 0 = 0
(-1) × (-1) = 1
We can conclude from the above results that the product of a positive and a negative integer is always negative whereas the product of two negative integers is always positive.
Also, each result in the products forms a pattern as:
