Five rules govern significant figures

# Five rules govern significant figures - know that the...

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Five rules govern significant figures: 1. Non-zero digits are always significant; 1.121 has four significant digits. 2. Any zeros between two significant digits are significant; 1.08701 has six significant digits. 3. Zeros before the decimal point are placeholders and not significant; in the number . 00254, only the 2,5 and 4 are significant, meaning the number has 3 significant figures. 4. Zeros after the decimal point and after figures are significant; in the number 0.2540, the 2, 4, 5 and last 0 are significant. 5. Exponential digits in scientific notation are not significant; 1.12 x 10 6 has three significant digits, 1, 1, and 2. These rules ensure accurate representation and interpretation of data. If, for example, you were to read of an experimental reaction in which the resulting chemical weighed 0.0254 g, you would
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Unformatted text preview: know that the measurement is accurate to 0.0001 g and contains 3 significant figures. Significant Figures in Operations When making calculations, significant figures become very important. You must always be careful to remember how many significant figures your separate values have. The rules governing addition and subtraction, and those governing multiplication and division are a little different. Addition and Subtraction of Significant Figures Addition and subtraction of significant figures follows a simple rule: The final value must have only as many decimals as the original value with the least number of decimal places....
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