- #1
walking
- 73
- 8
In tipler and mosca it says that the number of significant figures in the result of addition or subtraction is no greater than the least number of significant figures beyond the decimal place of any of the numbers.
They give the example of 1.040+0.21342. Clearly, 1.040 has three significant figures beyond the decimal place whereas 0.21342 has five. So the result can only have a maximum of three significant figures beyond the decimal place. Hence 1.040+0.21342=1.253.
I have two questions:
1. Is "number of significant figures after the decimal point" simply another way of saying "decimal places"? (So would it be correct in the above example to say "1.253 (3 d.p)"?)
2. When we try to apply the rule to [tex]2.34\cdot 10^2+4.93[/tex], is the answer 238.93 or 2.39*10^2, and why?
They give the example of 1.040+0.21342. Clearly, 1.040 has three significant figures beyond the decimal place whereas 0.21342 has five. So the result can only have a maximum of three significant figures beyond the decimal place. Hence 1.040+0.21342=1.253.
I have two questions:
1. Is "number of significant figures after the decimal point" simply another way of saying "decimal places"? (So would it be correct in the above example to say "1.253 (3 d.p)"?)
2. When we try to apply the rule to [tex]2.34\cdot 10^2+4.93[/tex], is the answer 238.93 or 2.39*10^2, and why?