Introduction to Significant Figures

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Introduction to Significant Figures

Significant figures tell us about the precision of a measurement. This is an introduction - we'll cover it properly in the rounding topic.

What counts as significant?

  • Non-zero digits: Always significant (1, 2, 3, 4, 5, 6, 7, 8, 9)
  • Zeros between non-zero digits: Always significant (101 has 3 sf)
  • Leading zeros: NOT significant (0.05 has 1 sf, the 5)
  • Trailing zeros after decimal point: Significant (2.50 has 3 sf)

Examples:

  • 123 has 3 significant figures
  • 1.05 has 3 significant figures (the zero counts)
  • 0.0067 has 2 significant figures (6 and 7)
  • 4500 could have 2, 3, or 4 sf (depends on context)

This connects to scientific notation (standard form) which we'll study later.

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