Question

Verify the property x × (y × z) = (x × y) × z of rational numbers by using
a. x=1, y=-1/2 and z=1/4
b. x=2/3, y=-3/7 and z=1/2
c. x=-2/7, y=-5/6 and z=1/4
d. x=0, y=1/2
and What is the name of this property?

Answer 1

a;
1x[-1/2x1/4]=[1x-1/2]x1/4
1x-1/8=-1/2x1/4
-1/8=-1/8

Answer 2

a) 1.(-1/2.1/4)=(1.-1/2).1/4 -1/8 = -1/8 b) 2/3.(-3/7.1/2)=(2/3.-3/7).1/2 2/3.-3/14=-6/21.1/2 -1/7=-1/7 c) -2/7.(-5/6.1/4)=(-2/7.-5/6).1/4 -2/7.-5/24=5/21.1/4 5/84=5/84 d) 0=0 The name of the property is associative property .