How do you multiply using the distributive property 2(19)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=382(19)=2×19=38

May 30, 2016

2(19)=2(20-1)=2xx20-2xx1=40-2=color(blue)382(19)=2(201)=2×202×1=402=38

Explanation:

The easiest way to multiply 2(19)2(19) is to use the distributive property, if we write 1919 as 20-1201.

2(19)=2(20-1)2(19)=2(201)

Now use the distributive property, which states that

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

So, we see that

2(19)=2(20-1)=2xx20-2xx12(19)=2(201)=2×202×1

These are easier multiplication problems to do.

2(19)=2(20-1)=2xx20-2xx1=40-2=color(blue)382(19)=2(201)=2×202×1=402=38