Question

Which of the following properties is 5(3 + 2) = 15 + 10 an example of?

associative property
commutative property
multiplicative identity
distributive property

Answer 1

It's the distributive property. It takes the equation, 15+10 and finds the greatest common factor of 5. it divides both numbers by 5 and puts the 5 outside of the parentheses.

Answer 2

Answer: Distributive property

Explanation:

Associative property states that either in addition or multiplication we can changes the position of parenthesis.

That is, a.(b.c) = (a.b).c or a+(b+c) = (a+b)+c

Commutative property states that in addition or multiplication we can change the order.

That is, a.b = b.a or a+b = b+a

Multiplicative identity is an element that gives the same number after multiplication.

That is, a × 1/a = 1 ⇒ 1/a is the multiplicative identity of a.

Distributive property lets us multiply a sum by multiplying each addend separately and then add the products.

That is, a(b+c) = a.b + a.c

Thus, it is clear that ,

5(3 + 2) = 5× 3+ 5×2 = 15 + 10 is the example of distributive property.