Understand the place value system. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole number exponents to denote powers of 10.

How many different ways can you make this math statement true using only the digits one through nine?

Before teaching students the procedure for multiplying with decimals, how much can they intuitively glean from a structured play session with calculators?