Explain how you can find 3*584 using the expanded form

The expanded form of 584 is:

584 = 500 + 80 + 4

Therefore:

3 · 584 = 3 · (500 + 80 + 4)

Then we will use Distributive property : we can multiply a sum by multiplying each addend separately and then add the products.

3 · 500 + 3 · 80 + 3 · 4 = 1,500 + 240 + 12 = 1,752

Finally: 3 · 584 = 1,752.

You could solve 3 x 584 in expanded form by separating the number by place value, making the problem look like this.

(3x500) + (3x80) + (3x4)

This may be distributive property, so I'm sorry if this is wrong. But the answers do match up!