# Significant figures - PowerPoint PPT Presentation

1 / 5

Significant figures. Significant figures: What are they and why do they matter?. Importance: to ensure the accuracy of our measurements To make sure we tell others only what we actually know based on our equipment and it’s limitations

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

Significant figures

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 - - - - - - - - - - - - - - - - - - - - - - - - - -

## Significant figures

### Significant figures: What are they and why do they matter?

• Importance: to ensure the accuracy of our measurements

• To make sure we tell others only what we actually know based on our equipment and it’s limitations

• Significant figures: all the numbers actually measured plus one that is estimated

### Rules for significant figures

• Non zeros are always significant:

• 1.23456 has 6 sig figs

• Zeros within a number are always significant. Both 4308 and 40.05 contain four significant figures.

• Zeros that do nothing but set the decimal point are not significant.

• 470,000 has 2 significant figures.

• 0.00000000098 has 2 sig figs

• Trailing zeros that aren't needed to hold the decimal point are significant.

• 4.00 has 3 significant figures.

• 0.0000050 has 2 significant figures

### Rules for addition and subtraction of significant figures

• The number of decimal places in the answer is equal to the number of decimal places in the quantity with the smallest number of decimal places

• 1 . 2 3   + 4 . 5 6 7 = 5 . 8 0

### Rules for multiplication and division of significant figures

• The LEAST number of significant figures in any number of the problem determines the number of significant figures in the answer.

• 2 x 10.0 = 20

• 66 / 2 = 33 = 30