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

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

$2 \left(19\right) = 2 \times 19 = 38$

May 30, 2016

$2 \left(19\right) = 2 \left(20 - 1\right) = 2 \times 20 - 2 \times 1 = 40 - 2 = \textcolor{b l u e}{38}$

#### Explanation:

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

$2 \left(19\right) = 2 \left(20 - 1\right)$

Now use the distributive property, which states that

$a \left(b + c\right) = a b + a c$

So, we see that

$2 \left(19\right) = 2 \left(20 - 1\right) = 2 \times 20 - 2 \times 1$

These are easier multiplication problems to do.

$2 \left(19\right) = 2 \left(20 - 1\right) = 2 \times 20 - 2 \times 1 = 40 - 2 = \textcolor{b l u e}{38}$