Question

Which equation correctly applies the distributive property?

A ​(0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2)​

B ​50+1.015=(50⋅1)+(50⋅0.01)+(50⋅0.005)​

C ​−2.5⋅(4⋅1.045)=(−2.5⋅4)⋅1.045​

D ​−1.2⋅0.57⋅0.5=−1.2⋅0.5⋅0.57

Answer 1

Option A correctly applies the distributive property by factoring out the common factor from each term in the sum.

Step-by-step explanation:

The equation that correctly applies the distributive property is A ​(0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2). The distributive property states that multiplying a sum by a number is the same as multiplying each addend by the number and then sum the products. Option A demonstrates this property by factoring out the common factor 0.5 from each term in the sum. Options B and C incorrectly apply the distributive property because they either don't factor the common value correctly (B) or incorrectly change the grouping of terms without respecting the order of operations (C). Option D simply demonstrates the commutative property of multiplication, not the distributive property.

Answer 2

A is the correct answer