slide1
Download
Skip this Video
Download Presentation
Significant Figures

Loading in 2 Seconds...

play fullscreen
1 / 15

Significant Figures - PowerPoint PPT Presentation


  • 94 Views
  • Uploaded on

4.5678. 600. 0.5008. Significant Figures. 1.004. 8. 9.99999. 32.000. 7. 2.45. Measurement always involves some estimating. The more accurate a measurement is, the closer it is to the true value.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Significant Figures' - uyen


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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
slide1

4.5678

600

0.5008

Significant Figures

1.004

8

9.99999

32.000

7

2.45

slide2

Measurement always involves some estimating.

The more accurate a measurement is, the closer it is to the truevalue.

A better instrument allows for better measurements, recorded as a greater number of significant figures (digits).

slide4

Recording - include EVERY digit that is absolutely certain...PLUS the ONE digit that is estimated.

These are the SIGNIFICANT FIGURES.

3.2

3

estimated

certain

slide6

1. All non-zero digits are significant.

374 (3 sig figs) 8.1 (2 sig figs)

2. All zeroes between non-zero digits are significant.

50407(5 sig figs) 8.001(4 sig figs)

3. Leading zeroes are NOTsignificant.

0.54(2 sig figs) 0.0098(2 sig figs)

slide7

Always LOOK FOR A DECIMAL

4. Trailing zeroes are significant ONLY if there is a

decimal point.

2370(3 sig figs) 16000(2 sig figs)

160.0(4 sig figs) 000.1800 (4 sig figs)

slide8

To avoid confusion, scientists commonly use SCIENTIFIC NOTATION.

ALL digits in scientific notation are SIGNIFICANT

6.02 x 10 23

  • Move the decimal so it is behind the first
  • non-zero digit.
  • Count the number of places that you moved the
  • decimal - to the left is +, right is -
slide9

238000 2.38 x 10 5

0.0052 5.2 x 10 -3

1.5 x 10 4 15 000

6.35 x 10 -4 0.000635

  • 103,000
  • 1,236,000
  • 42.0
  • 0.00000021
  • 5. 0.000238

1.03 x 10 5

1.236 x 10 6

4.20 x 10 1

2.1 x 10 -7

2.38 x 10 -4

slide10

Rounding Rules

0-4: round down

5 -9: round up

0.00533(2 sig figs) 0.0053

426.3 (3 sig figs) 426

1890(1 sig fig) 2000

0.0296(2 sig figs) 0.030

slide11

Rules

for

Addition and Subtraction

Multiplication and Division

slide13

Add or subtract

  • Count digits to the right of the decimal.
  • Roundthe answer to match the value with the LEASTnumber of decimal places.

12.0 + 131.59 + 0.2798 = 143.8698

Answer = 143.9

least number of decimal places

slide14

Multiply or divide

  • Answer isrounded to contain the same number of sig figs as the value with the LEAST.

51.3 × 13.75 = 705.375

The answer, with significant figures, is 705.

slide15

DO NOT round for each calculation.

When performing multiple calculations, use the rule of the final calculation to round the answer.

(0.3012 + 0.2)(3.6) = ?

(0.5)(3.6) = 1.8

= 2

(0.5012)(3.6) = 1.80432

= 1.8

ad