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Number and Algebra
This is another way of giving an answer to a certain degree of accuracy.
One decimal place means to the nearest tenth
Two decimal places means to the nearest hundredth and so on.
The same rule applies as with significant figures in that if you are asked to give the answer correct to x decimal places, then you look at the (x+1)th decimal place and if the number is less than five then the xth value remains the same but if it is five or more then you increase the xth value by one.
Example: Give the following numbers correct to two decimal places.
Obviously if we are approximating numbers that we use in calculations then there is going to be a difference between the answer we get by using the approximated values and the answer we would have got if we had used the exact values. In the IB we express this difference as the percentage error.
Percentage error =
Where are the approximated value and the exact value?
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