Adding and Subtracting Decimals


Rule:
To add or subtract two decimal values, write the problem vertically, and line-up the decimals, the ones place, tens place, etc. until add columns are distinctively written. Then add or subtract as if the decimal isn't there. This will lead to the final answer. Don't forget to use borrowing on the subtraction problems if necessary.


Let's look at an example:
img1
As you can see, even though the problem is written horizontally, it has been re-witten vertically so you can align each pair of corresponding columns. Then add as if the decimal isn't there.


Example 2: img2
Anytime you have an empty place in your problem, you can insert zeros in the columns so that all your values are still in their correct corresponding positions.


Example 3: img3
You can add zeros at the end of a number or the beginning of a number, but at no time can you add zeros between two numbers of your problem. You cannot discard a zero if it is a part of the number as well. For example:
img4
The blue zeros are between other numbers in the problem. You cannot remove these zeros. They must remain as part of the problem.


Example 4: img5


Try this one on your own then check your answer.
54.326 + 4.0364



Subtracting Decimals


To subtract two decimals, use the same procedures as adding. Just remember to use borrowing when the top number is smaller than the bottom number.


Example 1: img6


Example 2: img7


Example 3: img8


Try this one on your own then check your answer.
125.321 - 115.538