Answer:
a) (1 + 5) + 2 = 2 + (1 + 5)
Associative property of addition
b) 5(2x + 3) = 10x + 15
distributive property
c) (2.x). 7 = 2. (x · 7)
associative property of multiplication
d) (3 . x . 4) = (4.x .3)
commutative property of multiplication
e) (4 + 2) + 6 = 4+ (2 + 6)
associative property of addition
Step-by-step explanation:
We have to give properties for each equation.
a) (1 + 5) + 2 = 2 + (1 + 5)
Associative property of addition as (a+b)+c= a+(b+c)
b) 5(2x + 3) = 10x + 15
distributive property as a(b+c)=ab+ac
c) (2.x). 7 = 2. (x · 7)
associative property of multiplication as (a.b).c = a.(b.c)
d) (3 . x . 4) = (4.x .3) (Assuming typing mistake in question)
commutative property of multiplication = a x b = b x a
e) (4 + 2) + 6 = 4+ (2 + 6)
associative property of addition as (a+b)+c= a+(b+c)