Download presentation

Published byMeaghan Weeks Modified over 3 years ago

1
4.5678 600 0.5008 Significant Figures 1.004 8 32.000 7 2.45

2
**Measurement always involves some estimating.**

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

3
**Recording - include EVERY digit that is absolutely certain**

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

4
**Rules for Significant Figures**

5
**1. All non-zero digits are significant.**

374 (3 sig figs) (2 sig figs) 2. All zeroes between non-zero digits are significant. 50407 (5 sig figs) (4 sig figs) 3. Leading zeroes are NOT significant. 0.54 (2 sig figs) (2 sig figs)

6
**Always LOOK FOR A DECIMAL**

4. Trailing zeroes are significant ONLY if there is a decimal point. 2370 (3 sig figs) (2 sig figs) 160.0 (4 sig figs) (4 sig figs)

7
**6.02 x 10 23 Move the decimal so it is behind the first**

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 -

8
x 10 5 x 10 -3 1.5 x 6.35 x 103,000 1,236,000 42.0 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

9
**0-4: round down 5 -9: round up 0.00533 (2 sig figs) 0.0053**

Rounding Rules 0-4: round down 5 -9: round up (2 sig figs) (3 sig figs) 426 1890 (1 sig fig) 2000 (2 sig figs) 0.030

10
Rules for Addition and Subtraction Multiplication and Division

11
**You can only give an answer that is as accurate as your least accurate number.**

12
Add or subtract Count digits to the right of the decimal. Round the answer to match the value with the LEAST number of decimal places. = Answer = 143.9 least number of decimal places

13
Multiply or divide Answer is rounded to contain the same number of sig figs as the value with the LEAST. 51.3 × = The answer, with significant figures, is 705.

14
**DO NOT round for each calculation.**

When performing multiple calculations, use the rule of the final calculation to round the answer. ( )(3.6) = ? (0.5)(3.6) = 1.8 = 2 (0.5012)(3.6) = = 1.8

Similar presentations

OK

Rounding We need to round numbers because a calculator often gives an answer with more digits than are justified by the precision of the measurements.

Rounding We need to round numbers because a calculator often gives an answer with more digits than are justified by the precision of the measurements.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on event driven programming in visual basic Well made play ppt on dvd Ppt on power generation by wind energy Ppt on regular expression validator Ppt on water softening methods Ppt on central limit theorem video Ppt on ready to serve beverages Template download ppt on pollution Ppt on arithmetic micro operations Ppt on object-oriented programming concepts java