Question

Explain how you can use an array to find partial products for 4x36.

Answer 1

Using partial products, 36 x 4 is written as (30 x 4) + (6 x 4). Using place value blocks (array) you can show this by creating 3 columns of 10 across plus 6 individual blocks and repeating this 4 times (4 rows of 30 + 6).  

What You Show  

oooooooooo oooooooooo oooooooooo o o o o o o  

oooooooooo oooooooooo oooooooooo o o o o o o  

oooooooooo oooooooooo oooooooooo o o o o o o  

oooooooooo oooooooooo oooooooooo o o o o o o  

What You Write

36 * 4

24 + 120

144

Hope that helped!