Adding and subtracting sig fig

Posted by : Sig Fig Calculator

Here are some of the significant figures basic rules, but to get the complete understanding of what exactly adding and subtracting significant figures mean you’ve to read the entire guide.

How to check significant figures in given Numbers

There are several ways to check significant figures in a given numbers but to check with the best way follow the following steps

  • If the left most number is non-zero, then it’s a significant number
  • If the given numbers doesn’t have a decimal point, and the right most number isn’t a zero then that’s the least significant digit
  • Every zero between digit and least and most significant numbers should be counted as significant figures

Let us describe everything with the example; all of the numbers will have 3 significant figures

123
123,000
12.3
 1.23 × 10
6 1.00
0.000123

Significant Figures: A shortcut to Showcase uncertainties

If we take a rough idea to some extend that where the uncertainty will start, with having no knowledge of mathematics and Significant Figures knowledge or don’t want to pay more attention towards the techniques used to find uncertainties then we can find it by simply expressing the data. We can choose the round-off system to express all the uncertainty which creeps in your way. 

For example, we have the length of figures 12.37 ± 0.10 cm; we will then call the length of only 12.4 centimeters. We will perform a round-off technique to find out uncertainties in Significant Figures.

How many Digits Shall we Use

That really is an amazing question to ask that how many digits we shall use to start-off a question. As mentioned above, all the numbers/digits you include in your answer shows the accuracy and precision of data leading to an answer. We must use small Digits to solve any equation because the longer the equation is, there will be more complexity in finding the answer.

Adding and Subtracting Significant Figures

Adding and Subtracting Significant Figures is what we are explaining throughout and for that all the above provided information was important. When adding and subtracting the provided numbers, the rules of significant figures must be given a small look (How to treat a Subtracting and Adding the number rule) because we might use positive and negative signs in front of the numbers.

If some of the provided number will have a decimal number in front of it, then basic rule of Significant Figures will be applied on it throughout the solution but you don’t have to record any of the digits to the right of any last digit in least significant numbers. Here are some examples

2355.2342            15600.00            15600                   13.7
+ 23.24                  + 172.49              + 172.49             + 1.3
---------                  ----------               ---------                ------
2378.47                15772.49             15800                   15.0

Following are the multiplication and division examples which help you in solving significant figures at any time. So here we go!

13.1        13.10    13.100                  15310   1.00
x 2.25    x 2.25    x 2.2500               x 2.3      x 10.04
-------     --------   ----------               -------- -------
29.5       29.5       29.475                  35000   10.0