1. Scientific Notation and Significant Digits Created by The North Carolina School of Science and Math.The North Carolina School of Science and Math Copyright 2012. North Carolina Department of Public Instruction.North Carolina Department of Public Instruction Created by The North Carolina School of Science and Math.The North Carolina School of Science and Math Copyright 2012. North Carolina Department of Public Instruction.North Carolina Department of Public Instruction

2. Scientific Notation WHAT is it? Examples: WHY do we use it?

3. Scientific Notation: Rules The first number has to be: 1 ≤ x ≤ 9 : Always multiply by 10 to some power: Negative powers make numbers smaller : Positive powers make numbers BIGGER!:

4. Scientific Notation: Practice Which of the following are in scientific notation? 56.7 x 10 3 12.345 6.9 x 10 2 1.7 x 10 -2 7.0 x 10 10 8,902,506.5 x 10 -8

5. How to write numbers in Scientific Notation 1) JUMP the decimal 2) Count 3) Follow the rules!

6. Scientific Notation: More Practice EXAMPLE: 3,450,000,000 How many times did you move the decimal? _________ What direction: ___________ What power will the 10 be raised to? _____________

7. Scientific Notation: More Practice EXAMPLE: 0.0000000059 How many times did you move the decimal? _________ What direction: ___________ What power will the 10 be raised to? _____________

8. Backwards Scientific Notation Write the following “scientific notation” numbers in number form: Example: 7.95 x 10 4 = 79,500 Example: 5.3 x 10 -3 = 0.0053 8.97 x 10 5 = 8.567 x 10 -2 =

9. Significant Digits WHAT is it? Examples: WHY do we use it?

10. Significant Digits Significant Digits: Any digit that implies there is some connection to the precision and/or accuracy of the measurement made Exceptions: – Placeholder zeros – Digits introduced when making calculations beyond the measurements

11. Significant Digits What are the rules? – RESEARCH “significant digits” to determine the major rules that help define when a digit is significant or not – COMPILE the rules in your notes – SHARE the rules with your classmates