How is the product of 16 x 34 is like the product of 6 x 34 plus 10 x 34?

Answer 1

It's because 16 can be broken into 10 and 6. If you've delved into algebra, you've likely come across this while factoring: a(b+c) = ab+ac. Now assume that a is 34, b is 6, and 10 is c

34(10+6) = 34(10) + 34(6)

Since 10+6 = 16:

34(16) = 34(10) + 34(6)