Question

How is the way the decimals point moves when you divide a decimal number by a power of ten the same as when you multiply? how is it different?

Answer 1

Multiplying decimals is the same as multiplying whole numbers except for the placement of the decimal point in the answer. When you multiply decimals, the decimal point is placed in the product so that the number of decimal places in the product is the sum of the decimal places in the factors.