Question

How does the position of the decimal changes in a quotient as you divied by 10 100 1000

Answer 1

 When you multiply whole numbers by 10, 100, 1000, and so on (powers of ten), you can simply “tag” as many zeros on the product as there are in the factor 10, 100, 1000 etc.There is a similar shortcut for multiplying decimal numbers by numbers such as 10, 100, and 1000:

Move the decimal point to the right as many places as there are zeros in the factor.10 × 0.49 = 04.9 = 4.9    Move the decimal point one step to the right (10 has one zero).100 × 2.65  = 265. = 265    Move the decimal point two steps to the right (100 has two zeros). The number 265. is 265 (as shown above).1000 × 0.370 = 370. = 370        1000 means we move the point three steps. Write a zero at the end of 0.37 so that the decimal point can “jump over to” that place.