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Fraction-decimal intuition
Fraction-decimal-intuition 256
Description
Exercise Name: Fraction-decimal intuition
Math Missions: 4th grade (U.S.) Math Mission, 5th grade (U.S.) Math Mission
Types of Problems: 1

The Fraction-decimal intuition exercise appears under the 4th grade (U.S.) Math Mission and 5th 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

    Write the number pictured as a fraction and a decimal

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 un-simplified, 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. Fractions are used in real life in many different ways, but they are most commonly used in the cooking, construction and science industries.
  3. Balancing one's checkbook requires decimals, and reading the stock market requires fractions.
  4. An ability to translate quickly and recognize the relationship between decimals and fractions is useful in almost any science.
  5. Decimals are very common in shopping. Price tags, food labels, and receipts all contain decimals.
  6. At gas pumps, decimals are used to show how much gas is pumped and much it costs per gallon.