1. Significant Figures & Scientific Notation

2. Significant Figures What do those words mean? – Important numbers

3. Significant Figures What numbers are significant Always significant: – Numbers 1-9 Sometimes significant – 0 Significant 0 – When between two significant numbers (709) – When decimal number ends in zero (8.50) Not Significant 0 – When zero is just taking up space as a place holder (100)

4. Significant Figure Quiz Write the number of significant figures each of the following numbers have 1.0.00708 2.1,080 3.10,000,000,000 4.0.0100 5.89321 5.(Answer from the right) + 2.3

5. Significant Figure Quiz Answers Write the number of significant figures each of the following numbers have 1.0.00708 2.1,080 3.10,000,000,000 4.0.0100 5.89321 5.(Answer from the right) + 2.3 (8.2)

6. Significant Figures - Math When adding or subtracting – Look at the least common value (tenths, hundredths Examples: – 52.789 + 3.8 = ? – 16 – 4.350 = ?

7. Significant Figures - Math When adding or subtracting – Look at the least common value (tenths, hundredths Examples: – 52.789 + 3.8 = ? 52.789 Because the least common place + 3.8____ value is tenths, you round your 56.589 answer to the nearest tenths – Answer 56.6

8. Significant Figures - Math When adding or subtracting – Look at the least common value (tenths, hundredths Examples: – 16 – 4.350 = ? 16 Because the least common place − 4.350 value is the ones, you round your 11.650 answer to the nearest ones – Answer 12

9. Significant Figures - Math When multiplying or dividing – Look at the least number of significant figures Examples: – 11.859 x 4.6 = ? – 24.859 ÷ 6.17 = ?

10. Significant Figures - Math When multiplying or dividing – Look at the least number of significant figures Examples: – 11.859 x 4.6 = ? 11.859 x 4.6 = 54.5514 Because the least number of (5) (2) (2) significant figures is 2, you’ll only have 2 numbers in your answer – Answer 55

11. Significant Figures - Math When multiplying or dividing – Look at the least number of significant figures Examples: – 24.859 ÷ 6.17 = ? 24.859 ÷ 6.17 = 4.0290113 Because the least number of (5) (3) (3) significant figures is 3, you’ll only have 3 numbers in your answer – Answer 4.03

12. Scientific Notation What is it? – A scientific way to write enormous or teeny numbers

13. Scientific Notation What does it look like? – Coefficient: any number between 1 and 10 – Base: x 10 (it will always be x 10) – Exponent: tells you how many times to move the decimal point Positive expenent = move to the right Negative exponent = move to the left

14. Scientific Notation You need a coefficient, base, and exponent Examples: – 5,040,000,000,000,000 = ? – 0.000000000000016 = ?

15. Scientific Notation You need a coefficient, base, and exponent Examples: – 5040000000000000 = ? Answer: 5.04 x 10 15 – 0.000000000000016 = ? Answer: 1.6 x 10 -14

16. Scientific Notation You need a coefficient, base, and exponent Examples: – 8.23 x 10 14 = ? – 1.25 x 10 -9 = ?

17. Scientific Notation You need a coefficient, base, and exponent Examples: – 8.23 x 10 14 = 823000000000000. Answer: 823,000,000,000,000 – 1.25 x 10 -9 = 0.00000000125 Answer: 0.00000000125

18. Homework Significant Figures & Scientific Notation WS (Front & Back) (Due Tomorrow)