Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Video: Rewriting Expressions Using the Distributive Property

Kathryn Kingham

Rewrite the expression 19(34 + 21) using the distributive property.

01:40

Video Transcript

Rewrite nineteen times thirty-four plus twenty-one using the distributive property.

Let’s remind ourselves what the distributive property says. Here’s a representation of the distributive property: π‘Ž times 𝑏 plus 𝑐 equals π‘Ž times 𝑏 plus π‘Ž times 𝑐. We’ve taken our π‘Ž and distributed it across the 𝑏 and the 𝑐. Instead of adding 𝑏 plus 𝑐 and then multiplying by π‘Ž, we’re gonna multiply our π‘Ž times the 𝑏, multiply our π‘Ž times the 𝑐, and then add them together. Both options produce the same value in the end; they’re equal.

We want to rewrite nineteen times thirty-four plus twenty-one using the same property. How would we do that? We need to distribute the nineteen across the thirty-four and the twenty-one. This is what that would look like: nineteen times thirty-four plus nineteen times twenty-one.

We can’t forget that there’s still an element of addition in the problem. Our question asked us to rewrite the expression using the distributive property. This is what that looks like: nineteen times thirty-four plus nineteen times twenty-one.