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Understanding Scientific Notation

Basic Concepts

  • Format: a × 10^n
  • 1 ≤ |a| 10
  • n is an integer
  • Used for very large/small numbers

Operations

  • Multiply: multiply a's, add n's
  • Divide: divide a's, subtract n's
  • Add/Subtract: same exponent first
  • Always normalize result

Examples

  • 1234 = 1.234 × 10^3
  • 0.00123 = 1.23 × 10^-3
  • -123.4 = -1.234 × 10^2
  • 0 = 0 × 10^0