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Understanding whole number representations

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The Understanding whole number representations exercise appears under the 4th grade (U.S.) Math Mission, 5th grade (U.S.) Math Mission, Pre-algebra Math Mission and Mathematics I Math Mission. This exercise intensively practices the names of the place values in whole numbers.

Types of Problems

There are six types of problems in this exercise:

  1. Compare the values: This problem describes two representations of numbers and has users select the appropriate symbol for comparison from a drop-down menu. Unlike many problems, this problem is primarily written on the right instead of in the workspace.

    Compare the values

  2. Create the number: This problem gives the usr four digits which they are supposed to use to create either the largest or smallest possible integer.

    Create the number

  3. Add together: This problem asks users to tell the result they would get when two objects are added together.

    Add together

  4. Fill in missing: This problem is effectively asking users to subtract, though they do it through the missing addend approach. It could be viewed as a 'what is missing' type problem.

    Fill in missing

  5. Operate on the number: This problem asks the user to consider a particular number and describe what they would get if they added some amount of groups to it.

    Operate on the number

  6. Name place value: This problem colors one of the digits of a large number and asks the user to describe what that number actually represents using it's place value.

    Name place value


This exercise is easy to get accuracy badges because naming numbers and place value should be well practiced by this point. It is easy difficulty to get speed badges because the timing restrictions appear to be set very reasonably.

  1. On all problems there is occasionally some grouping needed as user can see in the pictures.
  2. Problem type five was given it's own problem type because someone has a great love for the number 2,485,671. It should be noted the only tricky one of these is the pictured one, where user is to add 20,000.

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