Rewrite the expression 19(34 + 21) using the distributive property.
Rewrite nineteen times thirty-four plus twenty-one using the
Let’s remind ourselves what the distributive property says. Here’s a representation of the distributive property: 𝑎 times 𝑏 plus 𝑐
equals 𝑎 times 𝑏 plus 𝑎 times 𝑐.
We’ve taken our 𝑎 and distributed it across the 𝑏 and
the 𝑐. Instead of adding 𝑏 plus 𝑐 and then multiplying by 𝑎,
we’re gonna multiply our 𝑎 times the 𝑏, multiply our 𝑎 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
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
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