Significant figures

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# Significant figures - PowerPoint PPT Presentation

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

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## PowerPoint Slideshow about 'Significant figures' - rufina

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Presentation Transcript

### 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