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Significant Figures & Scientific Notation

Significant Figures & Scientific Notation. Significant Figures. What do those words mean? Important numbers. Significant Figures. What numbers are significant Always significant: Numbers 1-9 Sometimes significant 0 Significant 0 When between two significant numbers (709)

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Significant Figures & Scientific Notation

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  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 • 0.00708 • 1,080 • 10,000,000,000 • 0.0100 5.89321 • (Answer from the right) + 2.3

  5. Significant Figure Quiz Answers Write the number of significant figures each of the following numbers have • 0.00708 • 1,080 • 10,000,000,000 • 0.0100 5.89321 • (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 1015 • 0.000000000000016 = ? Answer: 1.6 x 10 -14

  16. Scientific Notation • You need a coefficient, base, and exponent • Examples: • 8.23 x 1014 = ? • 1.25 x 10-9 = ?

  17. Scientific Notation • You need a coefficient, base, and exponent • Examples: • 8.23 x 1014 = 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)

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