MA19.7A.16

Mathematics (2019) Grade(s): 7 - Grade 7 Accelerated

MA19.7A.16

Express and compare very large or very small numbers in scientific notation. [Grade 8, 5]

Unpacked Content

Knowledge

Students know:
  • That scientific notation is formed using base ten system and is the reason a 10 is used as the base number.
  • Raising or lowering an exponent is has an effect on the place value of the decimal expansion.
  • That scientific notation is formed using a base ten system.
  • how to apply laws for multiplying and dividing exponents

Skills

Students are able to:
  • Write numbers in standard notation in scientific notation.
  • Convert numbers from scientific notation back to standard form.
  • Use information given in scientific notation to estimate very large or small quantities given in real-world contexts.
  • Perform multiplication and division with numbers expressed in scientific notation to solve real-world problems, including problems where both scientific and decimal notation are used.
  • Choose between appropriate units of measure when determining solutions or estimating

Understanding

Students understand that:
  • The movement of decimals in converting between scientific and standard notation is a function of an exponent.
  • Every decimal place represents a power of ten (this is a connection many students have not made yet when thinking about place value).
  • Scientific notation has real-world applications for very large and very small quantities found in many disciplines.
  • performing scientific notation operations are another application of integer exponent operations.

Vocabulary

  • Multiplicative relationship
  • Scientific Notation
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