Use the distributive property two different ways to find the product of 127 and 32

127 = 100 + 27

32 = 30 + 2

so 127 x 32 = (100 + 27) x (30+2) = (100x30) + (100x2) + (27x30) + (27x2)

= 3000+200+810+54 = 4064

second way:

127 = 100 + 27

127 x 32 = (100+27) x 32 = (100x 32) + (27x32) = 3200 + 864 = 4064