RULES FOR SIGNIFICANT DIGITS 1 Nonzero digits are ALWAYS significant Example 123456789 2 Zeros that are between other significant digits are ALWAYS significant Example 3004 3 Final zeros that occur before or after the decimal are ALWAYS significant ID: 613211
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Slide1
Significant digitsSlide2
RULES FOR SIGNIFICANT DIGITS
1. Non-zero digits are ALWAYS significant.
Example-
123456789
2. Zeros that are between other significant digits are ALWAYS significant.
Example
- 3004
3. Final zeros that occur before or after the decimal are ALWAYS significant.
Example
- 78.00
4.
Zeros used for spacing the decimal are NOT significant.
Example-
0.003Slide3
3 SIG FIGS
4 SIG FIGS
5 SIG FIGS 250 m/s 3150 m/s 74850 m/s 25.0 m/s 315.0 m/s 7485.0 m/s 2.50 m/s 31.50 m/s 748.50 m/s 0.250 ml 3.150 ml 74.850 ml 0.0250 ml 0.3150 ml 7.4850 ml 0.00250 ml 0.03150 ml 0.74850 ml 0.000250 ml 0.003150 ml 0.074850 ml 700 m/s 7 000 m/s 70 000 m/s 8.07 x 106 m/s 8.007 x 106 m/s 8.0007 x 106 m/s
EXAMPLESSlide4
HOW MANY SIGNIFICANT DIGITS?
2804 0.00305
2.84 30.24
0.0029 6.89
4.6 X 104 0.00175.00 6.050000 123.056360 100.04Slide5
ADDING & SUBTRACTING
Here
is the rule:
Look at all of the numbers to add/subtract and find the number with the
LEAST number of sig. digs. AFTER the decimal. This is how many sig. digs. should be after the decimal in your answer. Example - 24.686 2.343 3.21 30.239 ANSWER = 30.24 Slide6
MULTIPLYING & DIVIDING
Here
is the rule:
Look at all of the numbers to multiply/divide and find the number with the
LEAST number of sig. digs. This is how many sig. digs. that you should have in your answer. Example - 3.22 x 2.1 = 6.762 ANSWER = 6.8