Question

Prove that the associative property holds true in multiplication of the first three negative integers.

Answer 1

The first three negative integers are: -1, -2 and -3.

Associative property in multiplication:
a x (b x c) = (a x b) x c

Verifying with a= -1, b= -2 and c= -3:
=> a x (b x c) = -1 x (-2 x -3) = -1 x (6) = -6
And, (a x b) x c = (-1 x -2) x -3 = (2) x -3 = -6

This means that the property holds true in multiplication of the first three negative integers.