Students will be able to:

• Identify the precision of a measuring tool.
• Identify the estimated digit is a significant figure.
• Apply the rules of significant figures to math expressions involving addition, subtraction, multiplication, division, and powers in the same expression.
• Convert back and forth between decimal and scientific notation form.
• express scientific notation in its formal, (proper,) form.

 

1. Introduction (Determining an instrument's precision.)
2. Non-zero numbers are all significant.
3. Non-zero digits and zeros between non-zero digits are always significant.
4. Leading zeros before the first non-zero digit are not significant.
5. Trailing zeroed to the right of the decimal point are always significant.
6. Trailing zeros left of the decimal point are ambiguous.
7. Scientific Notation
8. Placing a decimal after a zero makes the zero significant. this is also indicated by placing a line over that zero.
9. Exact Numbers
10. Rounding According to the Rules of Significant Figures
11. Adding and Subtracting according to the rules of significant figures.
12. Multiplying and Dividing Significant Figures
13. Logarithms and Significant figures
14. Combined Math Steps with Significant Figures