Question

Explain how you could mentally find 8×45 by using the distributive property

Answer 1

8 x 45 = (8 * 40) + (8 * 5) ...now that can be done mentally

Answer 2

8(50-5) = 400 - 40 = 360
use compatible numbers.
you have to apply the distibtive poperty  
8 x 45.
leave the 8
split 45 into tow numbers that add up to 45
40 and 5.
multiply each number by 8
8 x 40 + 8 x 5.
320 + 40
when you add both it will be 360