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 muptiplying 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.
