How do you use the distributive property to rewrite and evaluate #2(6+10)#?

1 Answer
Apr 30, 2017

Answer:

See explanation...

Explanation:

The left distributive property of multiplication over addition tells us that for any #a#, #b# and #c#:

#a(b+c) = ab+ac#

There is also a right distributive property:

#(a+b)c = ac+bc#

In our example, we can use the left distributive property with #a=2#, #b=6# and #c=10# as follows:

#2(6+10) = (2*6) + (2*10) = 12+20 = 32#