Let us have a look at an example and then later on we are going to see the law.
lg 12.3 = 1.0899
Now is 1.0899 the correct answer?
Let us see how the answer should have been written and after that we will discuss the reasoning behind.
lg 12.3 = 1.0899 = 1.090
Can you guess the reasoning behind? The number being used has 3 significant figures and as a result the answer is given to 3 decimal places.
Let us have a look at a second example.
ln 1.98 = 0.98503 = 0.985
Since the number used has three significant figures then the answer is given to three decimal places.
Did you get it?
The rule when calculating with lg and ln is simply
The answer to a calculation involving lg and ln is given to a certain number of decimal places equal to the number of significant figures of the number used.
Now some questions for you.
- lg 0.67
- ln 6.7
- lg 122
- ln 6.777
Here you go my students. I will give you the answers to these questions later on.