Question

starting from (-2)×3 , write the different products depicting definite patterns to verify that (-2) ×(-2)=4​

Answer 1

(-2) * (-2) = 4 is verified.

Step-by-step explanation:

Rules of multiplication are as follows:

Negative * Negative = Positive

Positive * Positive = Positive

Negative * Positive = Negative

Positive * Negative = Negative

So accordingly, the different products depicting definite patterns are:

(-2) * (3) =  -6

(-2) * (2) = -4

(-2) * (1) = -2

(-2) * (0) = 0

(-2) * (-1) = 2

(-2) * (-2) = 4

Thus (-2) * (-2) = 4 is verified.

Answer 2

Given :  (-2) ×3,

To Find :  use definite patterns to verify that (-2) ×(-2) =4.​

Solution:

(-2) ×3 = 6

(-2) × 2 = - 4    ( - 6 + 2 = - 4)

(-2) × 1 =  -2   (-4 + 2 = - 2)

(-2) × 0  = 0   (-2 + 2 = 0)

(-2) × (-1 )=  2   ( 0 + 2 = 2)

(-2) × (-2)  = 4   ( 2 + 2 = 4)

Value is increasing by 2  when factor multiplied by -2 is reducing by 1

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