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This guide covers the essential rules of significant figures, helping you determine which digits are significant in a number. Significant figures are crucial in scientific measurements and help maintain precision. Key rules include that all nonzero digits are significant, as well as zeros between nonzero digits. However, leading zeros are not significant, while trailing zeros are only significant if there's a decimal point. Practice problems at the end reinforce your understanding and provide an opportunity to apply these rules.
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Significant Figures Rules
I. All nonzero digits are significant. • 825 3 • 12.76 4 • .26 2
II. Zeros between nonzeros are significant • 8 062 4 • 106 3 • 12.007 5 • .2605 4
III. Zeros t the left of all nonzeros are not significant. • .00276 3 • .0604 3 • .000001 1
IV. Zeros to the right of all nonzeros are not significant if there is no decimal point present. • 120 2 • 10 1 • 14 000 000 2
V. Zeros to the right of all nonzeros are significant if there is a decimal point present. • 1.000 4 • 1 200 000 2 • 25.00 4 • .000201000 6
Practice Problems • 8 000 = 1 • 8.000 = 4 • 4.500 = 4 • 4 500 = 2 • 1.04000 = 6 • 104 000 = 3 • 12 000 = 2 • 12 000. = 5 • 103 050 000 = 5 • 30 900 = 3 • 0.000405 = 3 • 0.001020 = 4
