Converting Rational Numbers to Decimals Using Long Division

Convert fractions that cannot be written with a denominator of a power of 10. Pupils use the definition of a fraction and long division to convert fractions to decimals, then find out that some divisions stop and others continue on and on. The 14th portion of a 22-part series shows individuals the notation used for repeating decimals.

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CCSS: Designed
Additional Tags
Instructional Ideas
  • Look for patterns of the decimal based upon the denominator
  • Lead a discussion about whether one can check a division that ends up as a repeating decimal by multiplication
Classroom Considerations
  • Pupils can use a calculator to do the division, just be cautious about how the calculator displays the repeating decimals
Pros
  • Shows the long division for the example problems
  • The problem set contains enrichment items
Cons
  • None
Common Core