Regrouping decimals

The topic  is under the 5th Grade Math Mission. This exercise introduces the concept of regrouping numbers in decimals to assist with borrowing.

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


 * 1) Reorganize: This problem provides a number broken down by place value in the standard way, and a second break down in a non-standard way. The student is asked to fill in the missing value to ensure both representations are correct.Rd2.png
 * 2) Fill chart: This problem starts with a given number and a chart that breaks down the number into it's place value pieces. The student is asked to fill in the chart with what ends up being an exhaustive list of the possibilities for those units.Rd1.png

Strategies
This exercise is medium to get accuracy badges because the movements in the number are simple, although a couple might need to be read carefully. The speed badges are easy because the patterns are predictable and once you figure them out they can be performed rapidly.
 * 1) On Reorganize the place you move to always has a non-zero number, so you should not ever have to answer just ten.
 * 2) On Reorganize the number you will put in the slot is a multiple of ten more than value of the number to the right of the spot you are in. You can see how many it decreased by, and that would be the tens digit of the number you will put in the slot.
 * 3) On Fill chart the left column always decreases by one, and the right column always increases by ten or one hundred. Ten if the digits are next to each other, one hundred if they are separated by one spot.