Question

Which correctly applies the distributive property to show an equivalent expression to (8.6)(–2.5)?

Answer 1

We see all of them have 2 and 0.5
so therfor b+c=-2.5

so

remember
a(b+c)=ab+ac
so
8.6(-2-0.5)=8.6(-2)+8.6(-0.5)


last option

Answer 2

Answer:

$(8.6)(-2.5)=(8.6)(-2)+(8.6)(-0.5)$

Step-by-step explanation:

Given the expression

$(8.6)(-2.5)$

we have to apply the distributive property

we can write 2.5 as 2+0.5

$(8.6)(-2.5)=(8.6)(-(2+0.5))=(8.6)((-2)+(-0.5))$

By distributive property,

$a.(b+c)=a.b+a.c$

$(8.6).((-2)+(-0.5))=(8.6)(-2)+(8.6)(-0.5)$

Hence, $(8.6)(-2.5)=(8.6)(-2)+(8.6)(-0.5)$

Therefore, the correct option is D