Question

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

Answer 1

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`

Answer 2

`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`