A4. Real numbers : significant figures.
In any decimal number, the first non-zero
number in it is called the first significant figure.
The digit shown in red in these numbers is the first significant
figure:
6789 |
12.013 |
0.0456 |
30.01 |
199 |
822.0009 |
0.0005 |
404 |
4.00008 |
333 |
72 |
0.00108 |
The digit that follows the first
significant figure in a number (whether or not it is zero) is called the
second significant figure.
The digit shown in green in these numbers is the second significant
figure:
6789 |
12.013
|
0.0456 |
30.01 |
199 |
822.0009 |
0.0005 |
404 |
4.00008 |
333 |
72 |
0.00108 |
In a similar way we can identify the third
significant figure, and fourth, and so on. Approximate versions of numbers can
be written by rounding them off to a specified number of significant figures,
(sf), shown in orange.
89=90 (1 sf) |
0.013=0.01 (1 sf) |
789.3=800 (1 sf) |
45=50 (1 sf) |
2.0009=2.00 (3 sf) |
438=440 (2 sf) |
0.000889=0.00089 (2 sf)
|
999.99=1000 (1 sf) |
|