 # Significant Figures. Rules 1.All nonzeroes are significant 2.Zeroes in-between are significant 3.Zeroes to the left are not significant 4.Zeroes to the.

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Significant Figures

Rules 1.All nonzeroes are significant 2.Zeroes in-between are significant 3.Zeroes to the left are not significant 4.Zeroes to the right are not significant unless they follow a decimal. 5.All numbers in scientific notation are significant 6.Exact numbers are obtained by counting or definitions such as 1 in = 2.54 cm, and are considered infinite in significance

Adding and Subtracting Always use the least significant decimal place. example: 1253.747 or + 1.1 1254.8 1253.757 + 1.1 = 1254.9 round up.0365578 -.00223 =.03433 or 3.433 X 10 -2

Multiplying and Dividing All ways go by the least number of significant figures. examples: 1253.747 X 1.1 =1379.1217 No only 2 sig figs, so 1400 or 1.4 x 10 3 120.0 ÷ 2.336589 = 51.3569 but this is rounded to 4 sig figs so 51.36

Combining the math 55.657 -55.654 X.033 = 4.54.000021806167 following the order of operations 55.657 - 55.654 =.003 which is reduced to 1 sig fig Then when finish the problem using multipling and dividing we must then use the 1 sif fig rule So our answer is.00002 or 2 x 10 -5

Give it a try 45.6632-45.6619 x 100 = 45.6632.002846931446 45.6632 – 45.6619 =.0013 which has 2 sig figs. so.0028

Logs what is the log of 111.1 = 2.0457 antilog of 123.2 = =10 123.2 =1.58489 x 10 123 =2 x 10 123

Which are Exact Numbers? 1 dozen eggs 25 students 1000 mm = 1 m 1 km = 0.621 mi 2.54 cm = 1 in 6.02213 x 10 23

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