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Significant Digits. Non-zero digits are always significant 291 has three significant digits 29.18 has four significant digits Zeroes placed before other digits are not significant 0.095 has two significant digits Zeroes placed between other digits are always significant
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Significant Digits • Non-zero digits are always significant • 291 has three significant digits • 29.18 has four significant digits • Zeroes placed before other digits are not significant • 0.095 has two significant digits • Zeroes placed between other digits are always significant • 105 volts has three significant digits.
Significant Digits … • Zeroes placed after other digits but behind a decimal point are significant • 2.500 has four significant digits • Zeroes at the end of a number are significant only if they are behind a decimal point as in previous case • 4900 has two significant digits • 4900. has four significant digits
Significant Digits … • Definitions have infinite significant digits • 100 cm in a meter, 60 minutes in an hour, etc. • Do not write more digits in an answer (intermediate or final) than the fewest digits in the given data • Round-off the answer to appropriate number of digits; however, be careful of the context
Significant Digits … • Use of scientific notation is less ambiguous • 4.900 X 103 has four significant digits, 4.90 X 103 has three significant digits, 4.9 X 103 has two significant digits • Click here for a tutorial
