Write an expression that shows how to multiply 7 ×256 using expanded form and distributive property

Let's make sure we know the definitions of expanded form and distributive property first. The expanded form of a number is a way of writing that number as the sum of its place values. If we break up 256 by place value, we have 2 hundreds, 5 tens, and 6 ones, so its expanded form would be 200+50+6.

The distributive property is a property of multiplication that states that if you have two terms a and (b+c) multiplied together, their product is the same as ab+ac; the a is distributed multiplicatively to the b and the c.

Putting 2 and 2 together, this question wants us to take the expanded form of 256 (200+50+6), and use the distributive property to find:



Can you use the definition of the distributive property above to find the product?