Contributor: Briana Pincherri. Lesson ID: 11352
What's the point of learning about decimals? The point is all-important! Where you place that point — or decimal — is the difference between right and wrong answers. Find out how!
This looks like an easy addition problem, but you need to use an important math rule.
When you are adding money, regardless of how big or small the amounts are, you are not only using your addition skills but also using a rule with decimals, whether you know it or not!
Look at the above example, where you have $23.15 and find $2 more.
You probably already have said $25.15.
$ | 2 | 3 | . | 1 | 5 | ||
+ | $ | 2 | |||||
If you write it this way and add the 2 directly under the 5, your answer would be $23.17, meaning that you only found two cents.
You want to show that you found two whole dollars, which is $25.15.
When adding decimals, you must follow the rule that you LINE UP the decimal points before you add or subtract.
From the example, $2 is the same as $2.00. If you line up the decimals correctly, the problem looks like this.
$ | 2 | 3 | . | 1 | 5 | ||
+ | $ | 2 | . | 0 | 0 | ||
$ | 2 | 5 | . | 1 | 5 |
Chances are you did that problem in your head, so you didn't have to worry about lining up the decimals. Your brain is used to working with money, so it is more than likely automatically putting decimals in the right places.
The good news is that the same rules apply to ALL DECIMALS, not just money. That means if you can answer questions that involve adding and subtracting money, you can easily add and subtract ANY decimal.
Take a look at the rules for adding and subtracting decimals.
Adding and Subtracting Decimals
NOTE: If you have a problem with a number showing in a certain spot, you can put a 0 there for it. But remember, make sure your decimals are lined up!
Examples.
10.2 + 4.06
Rewrite and line up the decimals.
1 | 0 | . | 2 | 0 | ← Added a 0 here. | ||
+ | 4 | . | 0 | 6 | |||
1 | 4 | . | 2 | 6 | Add as usual and bring down the decimal. |
8.86 - .25
Rewrite and line up the decimals.
8 | . | 8 | 6 | ||||
- | 0 | . | 2 | 5 | ← Added a 0 in front. | ||
8 | . | 6 | 1 | Subtract normally and bring down the decimal. |
Head to the Got It? section to see how well you've got it down.