Find your Math Personality!

Find your Math Personality!

# 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:

### Therefore, the numbers that we get as a result of the products do form a pattern where the numbers increase by 1 as we move further.

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