Significant figures Scientific Notation Dimensional analysis

 In the real world, no measurement is exact. The relative exactness of a measurement is its accuracy  In a measured value, all the digits that are known to be exact are called significant digits. Zeros at the end of a whole number are assumed to be non- significant.

RuleExampleNumber of Significant Figures 1.) Every non zero number is significant a.) 22 b.)45.7 a.) b.) 2.) Zeros between non zero digits are significant a.) 1,001 b.) 78, 002 a.) b.) 3.) Zeros at the end of the number and to the right of the decimal are significant a.) b.) a.) b.) 4.) Zeros appearing in front of non zero digits are not significant a.) b.) a.) b.) 5.) Zeros at the end of the number, but to the left of the decimal are significant if they have been measured a.) 1,000. -measured b.) 300.-not measured a.) b.)

m has ___ significant figures s has __ sig. figs kg has ___ sig. figs. 4. The ruler reads 700 g, so your measurement has ___ sig. figs x 10 5 s has ___sig. figs.

 Used for very large or very small numbers.  Made up of three parts: the coefficient, the base and the exponent in sci. notation is: 5.67 x 10 5 coefficient base exponent

 Move decimal as many times to make a number between 1 and 10  Coefficient is always followed by x 10  Exponent = number of times you move the decimal  Large # = ( + )exponent  Small # = ( - )exponent  Example: What is 238,000 in Sci. Notation?

1) ) ) )

 Move the decimal as many times as the exponent is worth  Positive exponent = move to the   Negative exponent = move to the   Fill spaces with zeros  Example: What is 1.56 x 10 5 in Standard notation?

1) 2.36 x ) 7.8 x ) 3.92 x ) 5.43 x 10 5

 It is a method used to convert from one unit to another  Consists of 3 Steps to get your answer  1.) Identify the Given and the Unknown  2.) Identify the Conversion factor needed to go from one unit to another  3.) Set up the problem  4.) Multiply across at the top and divide by the bottom

 How many kg are in 3.42 grams?

 500 ft = ______________________ m  5750 mL= _________________ L  km= __________________m  432 minutes = ________________ hrs