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Estimation digits When making measurements: Record every digit the instrument allows PLUS one more digit which is known as the estimation digit. Ex: Calculate the volume of a wooden block with the following dimensions: Length (L): 4.55 cm Width (W): 9.10 cm Height (H): 2.54 cm
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Estimation digits When making measurements: Record every digit the instrument allows PLUS one more digit which is known as the estimation digit
Ex: Calculate the volume of a wooden block with the following dimensions: Length (L): 4.55 cm Width (W): 9.10 cm Height (H): 2.54 cm L x W x H = 105.1687 cm3 Why does this not Make sense???
F. Significant figures – the digits in a measurement that are expressed as its value. (“Sig Figs” or SF) First we must know how to count significant figures in a given number.
Rules for counting significant figures 1. All nonzero digits are significant Ex: 14,567 SF : 5 Ex: 3245 SF : 4
2. Zeros – there are three cases. Case 1: Leading Zeros Zeros that precede all non-zero digits NEVER count as significant figures. Ex: 0.0025 SF: 2 SF (2 &5) Example: 0.0005 SF: 1 (5)
Case 2: Captive zeros Any zeros that fall between nonzero digits ALWAYS count as significant figures. Ex: 1.008 SF: 4 Ex: 40, 005 SF: 5
Case 3: Trailing zeros Zeros to the right end of the number are significant ONLY if the number is written with a decimal point (yessy… Deci) . Ex: 1200 SF: 2 Ex: 1200. SF: 4 Ex: 1200.0 SF: 5
Ex: 1200.03 SF: 6 (zeros are captured) Ex: 28.6 Ex: 344. Ex: 910 Ex: 0.04604 Ex: 0.006700