Scientific notation

Develop secure understanding of scientific notation.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Resources

Terminology

  • scientific notation
  • standard form
  • exponent
  • power

Task goals

  • Write a large number in scientific notation as a number between 1 and 10 multiplied by a power of 10.
  • Write a small decimal number in scientific notation using a negative power of 10.
  • Convert a number from scientific notation back to ordinary (standard) form.
  • Compare and order numbers written in scientific notation.
  • Round a number given in scientific notation to a stated number of significant figures.
  • Multiply and simplify expressions involving numbers written in scientific notation.
  • Use scientific notation to represent and reason about very large or very small real-world quantities.

Teaching guidance

  • Standard form (scientific notation) writes a number as a x 10^n where 1 <= a < 10; use a positive exponent for numbers 10 or greater and a negative exponent for numbers between 0 and 1.
  • The exponent counts how many places the decimal point moves: right (and negative exponent) for small numbers less than 1, left (and positive exponent) for large numbers.

Key skills

  • Scientific notation
  • Standard form
  • Powers of ten

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included