significant digits rules - the numbers in your problem 2.34...

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Significant Digits: A scientific method of rounding. In science we talk about the accuracy of our measurements and how important the digits are in a measurements. Since we also use these in problems in which we multiply, divide, add, and subtract, we use the significant digit concept to govern the way we round our answers. There are six rules for significant digits. They are: 1. All non zero digits are significant. Ex: 123 has 3 3295 has 4 32.95 has 4 2. All final zeros after the decimal point are significant. This is because you have measured to these additional places. 5.00 has 3 32.560 has 5 3. Zeros between other significant digits are significant. 103 has 3 2004 has 4 4.0670 has 5 4. Zeros serving as placeholders are not significant. These are at the end of whole numbers and at the beginning of decimal fractions. 5000 has only 1 significant digit. 0.0030 has two significant digits. 5. When adding or subtracting, the answer should be rounded to the least accurate place of
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Unformatted text preview: the numbers in your problem. . 2.34 + 6.5343 should be rounded to hundredths place or 8.87. 5 -1.035 should be rounded ones place or 4. 500 + 50 + 2 should be rounded to hundreds place, or 600. 6. When multiplying or dividing, the answer should be rounded to the fewest digits of the numbers in the problem. 5.23 x 6.7 should be rounded to 2 significant digits. Placeholder zeros are added when needed to place decimal. When numbers are written in scientific notation only the significant digits are written as 500 is 5 x 10 2 but 0.500 is written 5.00 x 10-1 . The placeholder zeros are dropped as they are no longer needed to locate the decimal, but the significant zeros should be written in the scientific notation. One other difficulty students have in scientific notation is deciding on the sign of the exponent. They fail to recognize tens with negative exponents are not negative numbers, but are located between 0 and 1....
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