Significant Digits and Scientific Notation

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Presentation transcript:

Significant Digits and Scientific Notation Objectives: Use scientific notation and significant digits in problem-solving. Identify the significant digits in calculations. Understand the difference between accuracy and precision.

4 Rules of Significant Digits Any number 1-9 is significant. Any 0 in between 2 significant digits is significant. (Ex: 803) Any 0 used as a “place holder” is NOT significant. (Ex: 8300, 0.0029) Any FINAL 0 AFTER THE DECIMAL POINT IS significant.

Scientific Notation Uses powers of 10 (Ex: 103) Speed of light is 300 000 000 m/s, or 3.0 x 108 m/s. Practice: Write 18 000 L in scientific notation. Using scientific notation: 4.5 x 1012 m/s 3.0 x 108 m/s

Accuracy vs. Precision Accuracy – getting the answer you should get, the “right” or “correct” answer Precision – getting consistent answers

Assignments Pp. 23 (1), 24 (1,2), 25 (1-4) P.26 (3-7)