Why do we write a '0' in the ones place when we multiply 36 by 20?

Because we are multiplying by 20, which is 2 tens, not 2 ones.

Solve 52 x 18 using the method from the video. Show your work.

52 x 8 = 416, 52 x 10 = 520, 416 + 520 = 936

I can multiply a two-digit number by a two-digit number using strategies based on place value and the properties of operations.

1
When multiplying 36 x 27, we can first multiply 36 by 7, then multiply 36 by 20, and finally add the two products together.
2
When multiplying two-digit numbers, it is important to remember place value; for example, in the number 27, the 2 is in the tens place, so it represents 20.
3
The product of 36 x 27 is 972.