Which of the following is an example of the distributive property?
3(10 + 5) = 3(5 + 10)
3(10 + 5) = (10 + 5)3
3(10 + 5) = 30 + 15
3(10 + 5) = 3(15)

3(10 + 5) = 30 + 15

Step-by-step explanation:

Distributive property states that a value outside the bracket can be distributed inside.

That is,

a(b+c) = ab + ac

∀ a, b, c ∈ R ( Real numbers )

Thus, the example of distributive property from the given equations is,

3(10 + 5) = 30 + 15 ( ∵ 3(10) + 3(5) = 30 + 15 )

THIRD option is correct.

a. 3/4 ÷ 1/8 = 6

step-by-step explanation:

in the question, the number line represents 3/4 divided into 6 equal units. each arrow represents a unit and there are a total of six arrows.

the size of each unit is 1/8 as shown.

showing that 1/8 divides 3/4 into 6 divisions:

3/4 ÷ 1/8

= 3/4 x 8/1

= 3/1 x 8/4

= 3 x 2

= 6

hence, the number line represents six divisions given by 3/4 ÷ 1/8.