Understanding place value

The first instance of  is under the 4th Grade Math Mission. This exercise explores the concept of place value and comparison of place value via multiplying by tens.

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


 * 1) Solve the word problem: This problem describes a word problem and the student types the correct solution on the appropriate spot.Pvwp1.png
 * 2) Compare digits within number: This problem has an integer with a repeated digit. The student is asked hoe many times larger or smaller the first or second occurrence is than the other.Pvwp2.png
 * 3) Multi-step comparison: This problem asks the student to compare two numbers that are different by a factor of ten. The answer two drop down questions and at the end a final question.Pvwp3.png
 * 4) Other representations: This problem takes an integer and asks the student to write out alternative representations of the number in the place value system.Pvwp4.png
 * 5) Compare digits between numbers: This problem has two numbers with a common digit. The student is to answer how many times larger or smaller the digit is in one number compared to the other.Pvwp5.png

Strategies
This exercise is easy to get accuracy badges because the concepts are simple. The speed badges are also easy because the number 10 appears as an answer choice very often. The problems start to become predictable.


 * 1) On problem type one the answer always seems to be ten times whatever number shows up in the word problem.
 * 2) On problem type two, the similar digits always seems to be consecutive, thus the answer is ten each time.
 * 3) On problem type three, Small->Right and Large->Left can help with the answers.
 * 4) On problem type three, the fill in the answer problem appears to always be ten.
 * 5) On problem type four, write the spots out first, then decrease the first column by one as you increase the second column by ten. You should end with 0 in the first column.
 * 6) On problem type five the answer always seems to be 10, in other words, the digits are in consecutive 'places.'