Question

How u find the product of 16 times 34 usein the distributive property

Answer 1

. Given numbers : 16 x 34
Solution: Use distributive Property of multiplication
=> 16 x 34
=> let’s start with one value going to the left
=> 6 x 4 = 24, bring down 4 carry 2
=> 4 x 1 = 4 + 2 = 6 (the partial answer is 64)
then the tens value of the multiplier
=> 3 x 6 = 18 , bring down 8 carry 1
=> 3 x 1 = 3 + 1 = 4 (we have another partial answer as 480)
Last is to add the total amount
=> 64 + 480 = 544

Answer 2

$Distributive\ property:a\cdot(b\pm c)=ab\pm ac$

$16=20-4\\and\\34=30+4\\therefore\\16\cdot34=(20-4)(30+4)=(20)(30)+(20)(4)-(4)(30)-(4)(4)\\\\=600+80-120-16=680-136=\boxed{544}$