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Ch_1-3_Significant_Figures

# Ch_1-3_Significant_Figures - SIGNIFICANT FIGURES The number...

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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. 5.23 x 10 3 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).
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. ROUNDING Number Rounded to Nearest 78.55 whole number 74.55 10 78.55 100 78.55 tenth 1,544.99 10 104.91 Whole number 104.91 10 364.01 100 0.0554 thousandth When doing calculations, wait until the end before rounding to avoid accumulative round-off error.

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