Significant Figures and Scientific Notation

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# Significant Figures and Scientific Notation - PowerPoint PPT Presentation

Significant Figures and Scientific Notation. Precision in measurement. Significant Figures. The n umber of digits that have meaning to precision of data Rules 1. All non-zero numbers ARE significant. The number 33.2 has THREE significant figures

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### Significant Figures and Scientific Notation

Precision in measurement

Significant Figures
• The number of digits that have meaning to precision of data
• Rules
• 1. All non-zero numbers ARE significant. The number 33.2 has THREE significant figures
• 2. Zeros between two non-zero digits ARE significant. 2051 has FOUR significant figures. The zero is between a 2 and a 5.

3. Leading zeros are NOT significant. They\'re nothing more than "place holders." The number 0.54 has only TWO significant figures. 0.0032 also has TWO significant figures.

• 4. Trailing zeros to the right of the decimal ARE significant. There are FOUR significant figures in 92.00.

5. Trailing zeros in a whole number with the decimal shown ARE significant. For example, "540." indicates that the trailing zero IS significant; there are THREE significant figures in this value.

• 6. Trailing zeros in a whole number with no decimal shown are NOT significant. Writing just "540" indicates that the zero is NOT significant
For Example…
• 123,000,000 has 3 significant figures.
• Trailing 0’s are not significant.
• 123,000,100 has 7 significant figures.
• 0’s stuck in between other digits are significant.
• 0.003604 has 4 significant figures.
Scientific Notation
• Method of abbreviating very large or very small numbers.
• Based on powers of 10.
• 123,000,000 is expressed as 1.23 x 108
• This is because 108 would move the decimal 8 spots to the right.
Scientific Notation
• 123,000,100 is expressed as 1.23001 x 108
• 0.003604 is expressed as 3.604 x 10-3
• This is because 10-3 would move the decimal place 3 spaces to the left.

Adding and Subtracting numbers in scientific notation.

• Numbers should be rearranged such that exponents are the same.
• Multiplying and Dividing numbers in scientific notation
• Numbers following exponent rules.