Significant Figures Used to report all precisely known numbers + one estimated digit.

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  Non-zero digits are significant.  Ex: 453 kg  All non-zero digits are always significant  # of Sig Fig’s?  3! Rule 1:

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Presentation transcript:

Significant Figures Used to report all precisely known numbers + one estimated digit

Rule #1 Every nonzero digit is significant Every nonzero digit is significantExamples: 24 = = 3 7 = 1

How many Significant Figures are in the number 3994 g One million! 5. 0

Rule #2 Zeros between non-zeros are significant Zeros between non-zeros are significantExamples: 7003 = = 3

Rule #3 Zeros appearing in front of non-zero digits are not significant Zeros appearing in front of non-zero digits are not significant Act as placeholders Act as placeholders Can’t be dropped, show magnitude Can’t be dropped, show magnitude Examples: Examples: = = 3

How many sig figs in the number kg infinite

Rule #4 Zeros at the end of a number and to the right of a decimal point are significant. Zeros at the end of a number and to the right of a decimal point are significant.Examples: = = = 3

Rule #5 Zeros at the end of a number and to the left of a decimal point aren’t significant Zeros at the end of a number and to the left of a decimal point aren’t significantExamples: 300 = 1 27,300 = 3

How many sig figs is the following measurement 809 cm

Special Rule Always remember PA Always remember PA PA If a decimal point is present, start on the Pacific (P) side and begin counting at the first non-zero digit all the way to the end. If a decimal is absent, start on the Atlantic (A) side and begin counting at the first non-zero digit all the way to the end.

Special Rule (cont.) Remember PA Remember PAExamples: = decimal present, start on “P” side, begin counting Answer = 6

Special Rule (cont.) Remember PA Remember PAExamples: 204,000 = decimal absent, start on “A” side, begin counting at first non- zero digit until you hit the end of the number. Answer = 3

How many sig figs are in the measurement 5600 km

Sig. Fig. Math Rules Addition / Subtraction: Addition / Subtraction: Answers can’t have more numbers to the right of the decimal point than the number in the problem with the least amt. of numbers to the right of the decimal point. Example = Calculator says – (wrong) Answer – 29.7

Choose the answer with correct # of sig figs 9.0 cm cm cm cm cm cm

Sig. Fig. Math Rules Multiplication / Division: Multiplication / Division: Your answer can’t have more sig. figs. than the number in the problem with the least amt. of sig. figs. Example = x Calculator says – (wrong) Answer

Perform the following calculation 5.35 m x 0.4 m = m m m m 2