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$61 BILLION

$61 BILLION. How much is Bill Gates worth?. Question : is that EXACTLY $61, 000,000,000.00?????. Significant Figures. 1. Significant Figures. A measurement is always limited by the precision of the

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$61 BILLION

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  1. $61 BILLION How much is Bill Gates worth? Question: is that EXACTLY $61, 000,000,000.00????? Significant Figures 1

  2. Significant Figures A measurement is always limited by the precision of the Instrument. An understanding of significant figures is important to express the appropriate precision of a measurement • Only zeros are non-significant digits (but not all always) • There are cases where a zero may be significant: • A Zero between 2 non-zeros digits. (103 cm) • Numbers less than 1, Zeros in front of the first non zero digit are not significant. (after start counting, they are significant) • 0.002030 km (the last zero indicates measurement has been made that far out). • 3. Numbers greater than 1, Zeros at the end of numbers do not refer to a precise count • 980000 (There are exceptions: decimal points, bar over) 2

  3. Significant Figures • 0.004070 -- The zeros shown in red are not significant. The number is precise to 4 significant digits • With numbers having a zero at the end the number of significant figures depends on the precision with which the number is known (how far was it measured). • 40000 -- one significant digit. The number is known to the nearest ten thousand. • 40000 -- three significant digits. The number is known to the nearest hundred. • 40000-- five significant digits. The number is known to the nearest unit. _ _ 3

  4. Significant Figures Answers: 3 1 5 1 4 8 4 5 Practice: # of sig figs • 101 • 200 • 100.00 • 0.0008 • 0.005600 • 30 780 000 • 30 780 000 • 30 780 000 _ _ 4

  5. Scientific Notation • Large numbers are hard to visualize. Scientific notation writes numbers in two parts: • a number between 1 and less than 10 and • a power of 10 • Examples • 30 000 000 is represented as 3 x 107 • 0.0000482 is represented as 4.82 x 10-5 • Note: The numbers present in Sci. Not. are SIGNIFICANT!!! 5

  6. Scientific Notation • Answers: • 6.5 x 10-3 • 2.15 x 104 • 1.408 x 10-1 • 5.8942 x 105 • 1 x 10-10 • 2 x 1016 Practice: • 0.0065 • 21 500 • 0.1408 • 589420 • 0.000 000 000 1 • 20 000 000 000 000 000 6

  7. Significant Figures • Math Functions: Addition/subtraction: • When adding or subtracting, answer will have FEWEST decimal places. • Dumb People Are Stupid Multiplying/dividing: • When multiplying or dividing, answer with fewest Sig. Figs. • My Dad Sells Fireworks 7

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