How do you multiply using the distributive property #2(19)#?

2 Answers
May 29, 2016

38

Explanation:

Here is an example of the distributive law in general terms.

a(b + c) = ab + ac

That is each term in the bracket is multiplied by a.

here there is only 1 value inside the bracket and so

#2(19)=2xx19=38#

May 30, 2016

#2(19)=2(20-1)=2xx20-2xx1=40-2=color(blue)38#

Explanation:

The easiest way to multiply #2(19)# is to use the distributive property, if we write #19# as #20-1#.

#2(19)=2(20-1)#

Now use the distributive property, which states that

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

So, we see that

#2(19)=2(20-1)=2xx20-2xx1#

These are easier multiplication problems to do.

#2(19)=2(20-1)=2xx20-2xx1=40-2=color(blue)38#