Ch_1-3_Significant_Figures

Ch_1-3_Significant_F - SIGNIFICANT FIGURES The number of significant figures in a measurement indicates the uncertainty in the measurement

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SIGNIFICANT FIGURES The number of significant figures in a measurement indicates the uncertainty in the measurement. Significant figures are the digits of a number whose values are certain. In scientific notation it is the number of digits used to write the number. .23 x 10 3 5.23 x 10 1.03 x 10 -2 4 x 10 -3
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Rules for significant figures: (1) All non-zero digits are significant. 1.334 1.6 1,111.8 (a) between two non-zero digits. 307 2,004 10,106 370 11,600 (b) to the right of a decimal point and to the right of a non-zero digit. (2) Zeros are significant only when they occur 3.0 0.000010 4.10700 0.000034 0.070 (c) both to the left of a decimal and to the right of a non-zero digit. 30. 30 6,500. 6,500 10.000 (3) Definitions are exact. It is like having infinitely many sig. fig. 1 in is defined as exactly 2.54 cm. It is like 1.00000000000… = 2.540000000000… cm).
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When rounding, look at the digit to the right of the place you want to round to. If it is 4 or smaller, round down. If it is 5 or greater, round up.
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This note was uploaded on 11/23/2010 for the course CHEM CHEM125 taught by Professor Ellis during the Fall '10 term at NJIT.

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Ch_1-3_Significant_F - SIGNIFICANT FIGURES The number of significant figures in a measurement indicates the uncertainty in the measurement

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