Answer:
8a: Commutative Property
8b: Commutative Property
8c: Associative Property.
Step-by-step explanation:
8a.
This equation can be demonstrate it with Commutative Property, because we need to have the same order of the terms at each side of the equality, and that order can be achieved with the Commutative Property.
[tex]\frac{1}{6}+(\frac{7}{8} +\frac{5}{6} )=\frac{1}{6}+(\frac{5}{6}+\frac{7}{8} )[/tex]
By Commutative Property
[tex]\frac{1}{6}+(\frac{7}{8} +\frac{5}{6} )=\frac{1}{6}+(\frac{7}{8} +\frac{5}{6} )[/tex]
8b.
Notice that this equation has the same aspect than 8a, beacuse we just need to change the order of terms inside the parenthesis to demonstrate it.
So, here we use also Commutative Property.
8c.
In this case, terms at both sides have the same order, but they are been associated differently, the first side has grouped 6 2/5 and 4/9, while the second side has grouped 4/9 and 3 2/9.
Therefore, we need to use the Associative Property to demonstrate the equivalence of this equation.
