1 / 13

Significant Figures

Significant Figures. Types of Numbers . Three different types of numbers Counting Numbers without units (whole numbers) Ex: there are 6 chairs in the front row Measured Numbers WITH units (actually measured) Ex: 58.35 g Defined Fractions or conversion factors

shiela
Download Presentation

Significant Figures

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Significant Figures

  2. Types of Numbers Three different types of numbers • Counting • Numbers without units (whole numbers) • Ex: there are 6 chairs in the front row • Measured • Numbers WITH units (actually measured) • Ex: 58.35 g • Defined • Fractions or conversion factors • Ex: 12 inches = 1 foot, 2.54 cm = 1 inch

  3. Determine the type of # • 12 people • 5.34 g • 16 Tbsp in a cup • 6 cans • 16 oz in a pound • 2.54 cm in an inch • 40.75 in • 2.25 cm

  4. Determine the type of # The highlighted are all COUNTING NUMBERS • 12 people • 5.34 g • 16 Tbsp in a cup • 6 cans • 16 oz in a pound • 2.54 cm in an inch • 40.75 in • 2.25 cm

  5. Determine the type of # The highlighted are all MEASURED NUMBERS COUNTING NUMBERS • 12 people • 5.34 g • 16 Tbsp in a cup • 6 cans • 16 oz in a pound • 2.54 cm in an inch • 40.75 in • 2.25 cm

  6. Determine the type of # The highlighted are DEFINED NUMBERS COUNTING NUMBERS • 12 people • 5.34 g • 16 Tbsp in a cup • 6 cans • 16 oz in a pound • 2.54 cm in an inch • 40.75 in • 2.25 cm MEASURED NUMBERS

  7. SF in numbers • Counting – infinite, ∞ • Defined – infinite, ∞ • Measured – (where the fun begins! ) • Digits 1 – 9 ALWAYS count

  8. SF for measured # • Zeros SOMETIMES count • LEADING zeros NEVER COUNT • 0234 • 0.00234 • MIDDLE zeros ALWAYS COUNT • 101 • 5.01 3 SF 3 SF 3 SF 3 SF

  9. SF for measured # CONT • TRAILING zeros count if a decimal is present • 100.0 • 0.900 • 100 4 SF 3 SF 1 SF

  10. Determine type of ZERO, then # SF • 0.031 or 3.1*10-2cm • 6.00 cm • 107.05 cm • 2.35*10-3g • 12.05 mL • 0.14 cm • 3.01 cm • 5.790 g • Leading, 2 • Trailing, 3 • Middle, 5 • Leading, 3 • Middle, 4 • Leading, 2 • Middle, 3 • Trailing, 4

  11. SF in Calculations • Addition and subtraction • -Least number of decimal places 12.0 cm +2.45 cm 14.45 cm Round to tenth 14.5 cm 5.79 g -3.2 g 2.59 g Round to tenth 2.6 g

  12. SF in Calculations CONT • Multiplication and division • Least number of SF 6 cm *6 cm 36 cm2 Round to 1 SF 40 cm2 122.5 g 2.0 g/mL = 61.25 mL Round to 2 SF 61 mL

  13. Homework • Complete SF worksheet • Work on next set of elements

More Related