Sig Figs Significant Figures What are Sig Figs
![Sig Figs Significant Figures Sig Figs Significant Figures](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-1.jpg)
![What are Sig Figs? § I read on the Forbes list that Jimmy Haslam What are Sig Figs? § I read on the Forbes list that Jimmy Haslam](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-2.jpg)
![This is where sig figs come into play § Absolutely accurate measurements are impossible!!! This is where sig figs come into play § Absolutely accurate measurements are impossible!!!](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-3.jpg)
![Rules for determining if a digit is significant 1. If it is not a Rules for determining if a digit is significant 1. If it is not a](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-4.jpg)
![Determine how many sig figs are in each number § § § § 734 Determine how many sig figs are in each number § § § § 734](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-5.jpg)
![Round each number to the given number of sig figs § § § § Round each number to the given number of sig figs § § § §](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-6.jpg)
![How to report answers § When multiplying or § § dividing. You can only How to report answers § When multiplying or § § dividing. You can only](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-7.jpg)
![Examples § 1. 24 x 34 § 772000 § + 5710 § 983200/ 124 Examples § 1. 24 x 34 § 772000 § + 5710 § 983200/ 124](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-8.jpg)
![Exemptions from sig figs § some numbers have an infinite number of sig figs. Exemptions from sig figs § some numbers have an infinite number of sig figs.](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-9.jpg)
![Important Rule § Only use sig figs in your answer. § Do NOT round Important Rule § Only use sig figs in your answer. § Do NOT round](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-10.jpg)
![Problem § 1 yd =. 9144 m § 3 ft = 1 yd, 60 Problem § 1 yd =. 9144 m § 3 ft = 1 yd, 60](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-11.jpg)
![Another § A 17. 5 g object is placed in a graduated cylinder. The Another § A 17. 5 g object is placed in a graduated cylinder. The](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-12.jpg)
![Scientific Notation § some numbers so large or small that is a pain to Scientific Notation § some numbers so large or small that is a pain to](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-13.jpg)
![Quick conversions § § § § 6. 7 x 10 -7 2. 31 x Quick conversions § § § § 6. 7 x 10 -7 2. 31 x](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-14.jpg)
![Scientific notation has to be used to correctly write some answers § For example Scientific notation has to be used to correctly write some answers § For example](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-15.jpg)
![scientific notation and your calculator § To put numbers in scientific notation in your scientific notation and your calculator § To put numbers in scientific notation in your](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-16.jpg)
![Problems § 2. 74 x 1016 / 3. 2 x 104 § =8. 6 Problems § 2. 74 x 1016 / 3. 2 x 104 § =8. 6](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-17.jpg)
![Homework § 4. 21 x 8. 4= § 340 -121= § Convert 77 in Homework § 4. 21 x 8. 4= § 340 -121= § Convert 77 in](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-18.jpg)
- Slides: 18
![Sig Figs Significant Figures Sig Figs Significant Figures](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-1.jpg)
Sig Figs Significant Figures
![What are Sig Figs I read on the Forbes list that Jimmy Haslam What are Sig Figs? § I read on the Forbes list that Jimmy Haslam](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-2.jpg)
What are Sig Figs? § I read on the Forbes list that Jimmy Haslam (owner § § of the Browns) has a net worth 2. 7 billion dollars. Myself and a friend bought 4 tickets for $264. 30 Assume that immediately after it was reported, I ran to Mr. Haslam with cash. Jimmy gets every penny and hasn’t had another expense yet. Does that mean Jimmy Haslam now has exactly $2, 700, 000, 264. 30? Of course not, all of those 0’s were actually numbers that we didn’t report because we didn’t measure accurately enough. The $2. 7 figure was rounded!
![This is where sig figs come into play Absolutely accurate measurements are impossible This is where sig figs come into play § Absolutely accurate measurements are impossible!!!](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-3.jpg)
This is where sig figs come into play § Absolutely accurate measurements are impossible!!! § We must round somewhere § When we do calculations with these numbers we must reflect how accurate our initial numbers were. § Significant digits means that digit was accurately measured § Insignificant digit means that digit was NOT accurately measured.
![Rules for determining if a digit is significant 1 If it is not a Rules for determining if a digit is significant 1. If it is not a](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-4.jpg)
Rules for determining if a digit is significant 1. If it is not a zero, it is significant. 123 2. If a zero is between two significant 3. 4. 5. digits, it is significant. 309 Zeros at the end of a number with a decimal point are significant. 56. 0 Zeros at the end of a number that do not have a decimal point are NOT significant. 82400 Zeros at the front of a decimal are NOT significant. . 00562
![Determine how many sig figs are in each number 734 Determine how many sig figs are in each number § § § § 734](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-5.jpg)
Determine how many sig figs are in each number § § § § 734 100, 025 6501000. 00034 2. 00034 527. 00 16. 01 187000000 § § § § 3 6 4 2 6 5 4 3
![Round each number to the given number of sig figs Round each number to the given number of sig figs § § § §](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-6.jpg)
Round each number to the given number of sig figs § § § § (2) 734 (4) 101. 025 (3) 651500 (5). 00334 (4) 132. 084 (3) 527. 00 (5) 16. 01 (3) 18700 § § § § 730 101. 0 652000. 0033400 132. 1 527 16. 010 18700
![How to report answers When multiplying or dividing You can only How to report answers § When multiplying or § § dividing. You can only](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-7.jpg)
How to report answers § When multiplying or § § dividing. You can only have as many sig figs in your answer as you do in the number with the least amount of sig figs. 3. 56 x 2. 1= 7. 476 7. 5 (2 sig figs) § When adding or subtracting. § Numbers added to or subtracted from insignificant numbers are insignificant (rounded off). § 347. 58 + 21 § 368. 58 § 369 insignificant *Doing this will account for 1 point on every single test problem we do!!!!
![Examples 1 24 x 34 772000 5710 983200 124 Examples § 1. 24 x 34 § 772000 § + 5710 § 983200/ 124](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-8.jpg)
Examples § 1. 24 x 34 § 772000 § + 5710 § 983200/ 124 § 323400 § - 54000
![Exemptions from sig figs some numbers have an infinite number of sig figs Exemptions from sig figs § some numbers have an infinite number of sig figs.](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-9.jpg)
Exemptions from sig figs § some numbers have an infinite number of sig figs. Meaning we can ignore them in our calculations § If a something = 1(unit), that one has an infinite number of sig figs. 1 yd =. 9144 m § many conversion factors have an infinite number of sig figs, for example 3 ft = 1 yd, 60 sec= 1 min, 100 cm = 1 m. § Not all conversion factors have an infinite number of sig figs though. §. 9144 m = 1 yd, 2. 2 lbs = 1 kg. § If you are ever unsure, ask me!
![Important Rule Only use sig figs in your answer Do NOT round Important Rule § Only use sig figs in your answer. § Do NOT round](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-10.jpg)
Important Rule § Only use sig figs in your answer. § Do NOT round in the middle of the problem!!!
![Problem 1 yd 9144 m 3 ft 1 yd 60 Problem § 1 yd =. 9144 m § 3 ft = 1 yd, 60](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-11.jpg)
Problem § 1 yd =. 9144 m § 3 ft = 1 yd, 60 sec= 1 min, 100 cm = 1 m. § Convert 79 ft to meters to the correct number of significant figures.
![Another A 17 5 g object is placed in a graduated cylinder The Another § A 17. 5 g object is placed in a graduated cylinder. The](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-12.jpg)
Another § A 17. 5 g object is placed in a graduated cylinder. The volume of the water in the graduated cylinder rises from 12. 5 m. L to 23. 5 m. L. What is the density of the object to the correct number of significant figures?
![Scientific Notation some numbers so large or small that is a pain to Scientific Notation § some numbers so large or small that is a pain to](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-13.jpg)
Scientific Notation § some numbers so large or small that is a pain to write out normally § for example Jimmy Haslam has $1, 800, 000 § To write in scientific notation write down all sig figs x 10 x § The number is always written to the ones place with a decimal § so the above number is $1. 8 x 109
![Quick conversions 6 7 x 10 7 2 31 x Quick conversions § § § § 6. 7 x 10 -7 2. 31 x](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-14.jpg)
Quick conversions § § § § 6. 7 x 10 -7 2. 31 x 105 5. 79 x 103 4. 19 x 10 -5. 0065 94, 100, 000000065 9, 840 § § § § . 00000067 231000 5790. 0000419 6. 5 x 10 -3 9. 41 x 107 6. 5 x 10 -8 9. 84 x 103
![Scientific notation has to be used to correctly write some answers For example Scientific notation has to be used to correctly write some answers § For example](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-15.jpg)
Scientific notation has to be used to correctly write some answers § For example § 1329 / 13 § = 102. 23 rounded to 2 sig figs would be… § You Have To Write This Number In Scientific Notation! § 1. 0 x 102
![scientific notation and your calculator To put numbers in scientific notation in your scientific notation and your calculator § To put numbers in scientific notation in your](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-16.jpg)
scientific notation and your calculator § To put numbers in scientific notation in your calculator there is normally an E or EXP key § That E EE or EXP replaces the x 10 § Pay attention to the way your calculator denotes scientific notation!!!
![Problems 2 74 x 1016 3 2 x 104 8 6 Problems § 2. 74 x 1016 / 3. 2 x 104 § =8. 6](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-17.jpg)
Problems § 2. 74 x 1016 / 3. 2 x 104 § =8. 6 x 1011 § 176 / 31 § =5. 7 § 1430 + 232. 1 § = 1660 § Convert 3620 g to lbs (1 kg = 2. 2 lbs) § 3620 g 1 kg = 8. 0 lbs 2. 2 lbs 1000 g 1 kg
![Homework 4 21 x 8 4 340 121 Convert 77 in Homework § 4. 21 x 8. 4= § 340 -121= § Convert 77 in](https://slidetodoc.com/presentation_image_h/1a615a7f2231db1edb6fb8a984fd619e/image-18.jpg)
Homework § 4. 21 x 8. 4= § 340 -121= § Convert 77 in to meters (. 9144 m = 1 yard) to the correct number of sig figs
Insidan region jh
87 pg in scientific notation
Log a x log a
Standard deviation in chemistry
Are trailing zeros significant
Stoichiometry sig figs
How many sig figs are in 5000
When to use sig figs in chemistry
How many significant figures are in 956
Nernst equation simplified
Sig figs rules
Two significant figures
How many sig figs are in .000077?
Are all non zero digits significant
How do significant figures work
Sig figs for logs
Sig figs pacific atlantic rule
Where do sig figs come from
Sigfigs