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Metrics, Graphs, Sig Figs

Metrics, Graphs, Sig Figs. Pages 39-41. Graphs. Extrapolating – an estimation of a value based on extending a known sequence of values or facts beyond the area that is known. Graphs. Interpolating – an estimation of a value within two known values in a sequence of values.

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Metrics, Graphs, Sig Figs

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  1. Metrics, Graphs, Sig Figs Pages 39-41

  2. Graphs • Extrapolating – an estimation of a value based on extending a known sequence of values or facts beyond the area that is known.

  3. Graphs • Interpolating – an estimation of a value within two known values in a sequence of values.

  4. Directly Proportional: • Direct proportion can be written as • Y = KX • (Y & X are directly proportional) • This means that as one increases, the other increases too! • ( & when one decreases, the other decreases.)

  5. Inversely Proptional: • Inverse proportion can be written as • Y = K X • (Y & X are inversely proportional) • This means that as one increases, the other decreases! • ( & when one decreases, the other increases.)

  6. Data • Accurate data – how close a measured value is to the actual (true) value. • Precise data – how close the measured values are to each other.

  7. Significant Figures • Significant figures give us an idea of how well (accurately and precisely) data could be measured/recorded.

  8. Significant Figures • ALL non-zero numbers (1,2,3,4,5,6,7,8,9) are ALWAYS significant. • ALL zeroes between non-zero numbers are ALWAYS significant. • ALL zeroes which are SIMULTANEOUSLY to the right of the decimal point AND at the end of the number are ALWAYS significant. • ALL zeroes which are to the left of a written decimal point and are in a number >= 10 are ALWAYS significant.

  9. Scientific Notation • Scientific notation is way to write very large or very small numbers more efficiently. • Ex. 4,270,000 can be written as 4.27 x 106

  10. Scientific Notation • Always written to a base of 10. • The decimal point is moved left to just after the first number. • That number must be at least 1 but less than 10.

  11. Scientific Notation • Very large numbers are written by moving the decimal place to the right. • Very small numbers are written by moving the decimal place to the left.

  12. Scientific Notation • If the exponent is negative, the number is very small. • Negative exponents mean to divide by 10. • If the exponent is positive, the number is very large. • Positive exponents mean to multiply by 10.

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