## Glossary of Significant Digits and Scientific Notation

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- Which zeros automatically count as significant?
- Between two non-zero digits

- How many significant digits in 36.00 m?
- 4 - the final zeros count because they are after the decimal AND after a non-zero digit.

- Why bother with significant digits?
- Significant digits tell you how well the values used in a calculation were measured.

- The more decimal places a measurement is the more ... it is.
- Precise

- The formula for percent error is...
- O-A/A * 100

- The A in the percent error formula stands for the
- accepted value

- The O in the percent error formula stands for the ...
- observed or measured value

- In physics, we hope for less than ... % error in the lab.
- 10%

- 13.0050 has how many sig digs?
- 6 - the zeros between 3 and 5 count because they are between non-zeros. The last zero counts ecause it is after a decimal AND ALSO after a non-zero.

- 99.01 + 1 = ?
- 100.

99.01 goes to the hundreths place but 1 only goes to the ones place. Since you are adding, your answer must go to the ones place. Putting a decimal after the second zero makes both zeros count.

- Write 1400 as scientific notation.
- 1.4 x 10^3