Fraction-decimal intuition

The  exercise appears under the 4th grade (U.S.) Math Mission. This exercise strengthens the relationship between decimals and fraction, with emphasis on geometric visualization.

Types of Problems
There is one type of problem in this exercise:


 * 1) Write the number pictured as a fraction and a decimal: This problem provides a number represented geometrically. The student is asked to write the pictured number as a fraction and as a decimal.Fdi1.png

Strategies
Knowledge of the relationship between decimals and fraction is encouraged to ensure success on this exercise.
 * 1) The problem always requests the fraction form first.
 * 2) The fraction is not required to be simplified.
 * 3) It can be more efficient to represent the fraction unsimplified, such as leaving the fraction over 100 in the examples where the grid with 100 squares is provided.

Real-life Applications

 * 1) Fractions/decimals have uses in finance and science.
 * 2) Balancing one's checkbook requires decimals, and reading the stock market requires fractions.
 * 3) An ability to translate quickly and recognize the relationship between decimals and fractions is useful in almost any science.