Match each equation on the left to the mathematical property it uses on the right.
(1 + 5) + 2 = 2 + (1 + 5)
commutative
property of addition
5(2x + 3) = 10x + 15
commutative property of multiplication
(2.x). 7 = 2. (x · 7)
associative
property
of addition
(3 . x . 4) = (3 - 4.x)
associative property of multiplication
(4 + 2) + 6 = 4+ (2 + 6)
distributive property
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absor201 absor201 · Answer 1 · 2020-12-09T07:40:47+01:00

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)