Patterns in zeros

The topic  is under the 5th Grade Math Mission. This exercise helps to explore the idea of multiplying by powers of ten and the implications it has for the numbers of zeroes and moving decimal spots.

Types of Problems
There are four types of problems in this exercise:


 * 1) How many zeroes: This problem has a number written in a form involving a power of ten. It asks the student to report how many zeroes the number would have if it were expanded.Piz1.png
 * 2) How does it move: This problem provides a hypothetical where a number is multiplied or divided by a power of ten. The student is asked how many spots, and in what direction the decimal will be moved.Piz2.png
 * 3) Do operation and tell how many zeroes: This problem describes an arithmetic problem. The student is supposed to perform the problem and then report how many zeroes there would be after the operation.Piz3.png
 * 4) What number is this: This problem has either a power of ten as an exponential expression or expanded. The student is to select the corresponding version from a multiple choice list.Piz4.png

Strategies
This exercise is easy to get accuracy badges because all the problems deal with powers of ten or place value which is easy to understand when mastered. The speed badges are easy because although there are four types, it is easy to tell which problem type it is quickly and answer appropriately.
 * 1) On How many zeroes the answer is always the exponent on the power of ten.
 * 2) On How does it move, the number of place it moves is always the exponent and multiply connect with right, divide connect with left.
 * 3) On Do operation and tell how many zeroes simply count the zeroes in the number provided and subtract the exponent of the power of ten you are dividing by (until they start to bring in multiply problems, then add).
 * 4) Although it can go either direction, What number is this can also be done nicely by counting zeroes.