Note: In Mr. Duerr's classes we will default to using fractions for our work. In the long term, the ability to master fractions is a much easier and more useful skill for mathematics. We will still have some practice with decimals as it does show up in the real world so is a necessary skill.
This video will review with us the value and names of decimals as well as relating decimals to division and the far superior fraction.
This video will review with us how to represent a whole as a fraction and a decimal.
This video will show us how to represent a whole(s) and a part using both decimals and fractions.
This video will help us create a visual representation of a decimal.
This video will show us how to estimate to do quick mental math to check our answers. This is a very important skill for students struggling with place value in decimal arithmetic.
This video shows a few ways to add decimals. The first method is more mental math than the math you should be showing on your paper (especially if you are watching this video because you need help). Starting at 4:53 the video shows the more traditional method that you should master before the other methods.
CAUTION!!! You should only watch this video if you are confident in adding decimals by lining up the decimal and adding vertically. This video shows another way of adding decimals that can be helpful for mental math and/or to help understand place value.
This video will show us how to estimate to do quick mental math to check our answers. This is a very important skill for students struggling with place value in decimal arithmetic.
This video shows an example of the basic subtraction of decimals by lining up the decimal point and subtracting vertically.
This video is another example of subtracting decimals by lining up the decimal point. However, in this video the two numbers do not have the same number of decimal points and we need to do some regrouping (borrowing) to subtract.
CAUTION!!! You should only watch this video if you are confident in subtracting decimals by lining up the decimal and subtracting vertically. This video shows a few ways to add decimals. The first method is more mental math than the math you should be showing on your paper (especially if you are watching this video because you need help). The second method is great because it shows number line subtraction to help visualize. The video then follows and shows similar ways of thinking about decimal subtraction on slightly more complex problems.
This video will show us how to estimate to do quick mental math to check our answers. This is a very important skill for students struggling with place value in decimal arithmetic.
This video shows introduces the standard algorithm (the method that has been taught for years) for multiplying decimals.
This video shows a variation of the standard algorithm for decimal multiplication. He does it a bit different at the beginning in which he is being very careful about following appropriate mathematical rules for the decimal point. It may be hard to fully follow this. At 3:15 he begins explaining the more traditional way to find the decimal location.
This video explore the most common mistake in all of decimal arithmetic (in Mr. Duerr's experience) - where to put the decimal point in decimal multiplication. This video uses thought experiments and estimation to help students develop an understanding rather than showing procedure.
This video is an example problem for long division (no decimals). This process is very important for dividing decimals by traditional methods.
This video shows how we deal with a decimal in the divisor - a very common struggle point - in a simple problem.
This video shows how we divide a decimal by another decimal. This video does a particularly good job explaining the decimal work that needs to be done before the long division. The video also shows how we deal with a remainder.
This video shows another example of how we divide decimals. It shows all necessary steps.
Note: All videos published on this site have been taken from Kahn Academy (kahnacademy.org). This is a wonderful website that you can create an account on and get additional practice.