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Sig Figs!!!. EQ: Why do we need to use significant figures in scientific calculatioins ?. copy these notes under a new Topic. topic #5 “Significant figures”. 1. Non-zero digits and zeros between non-zero digits are always significant. 2 . Leading zeros are not significant.
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Sig Figs!!! EQ: Why do we need to use significant figures in scientific calculatioins?
copy these notes under a new Topic. topic #5 “Significant figures” 1. Non-zero digits and zeros between non-zero digits are always significant. 2. Leading zeros are not significant. 3. Zeros to the right of all non-zero digits are only significant if a decimal point is shown. 4. For values written in scientific notation, the digits in the coefficient are significant. 5. In a common logarithm, there are as many digits after the decimal point as there are significant figures in the original number.
Let’s Practice!!! • 45.8736 • .000239 • .00023900 • 48000. 00 • 48000 • 3.982106 • 1.00040 • 12046000
3401 2100 2100.0 5.00 0.00412 8,000,050,000 4 2 5 3 3 6 How many sig figs here?
What about calculations using sig figs??? • There are 2 rules we need to follow: • RULE #1: (For addition and subtraction only) Round your answer of your calculation to the least number of DECIMAL places. • RULE #2: For multiplication and division only) Round your answer to the LEAST number of SIGNIFICANT FIGURES.
2.45cm + 1.2cm = 3.65cm, Round off to = 3.7cm 7.432cm + 2cm = 9.432 round to 9cm Add/Subtract examples
56.78 cm x 2.45cm = 139.111 cm2 Round to 139cm2 75.8cm x 9.6cm = ? Multiplication Example