| Decimals- Introduction (Part 1 & Part 2) | |
| These two videos are to be watched in succession; Part 2 assumes familiarity with Part 1. Additionally, it is assumed that you are familiar with powers of ten, and how to simplify fractions. |
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| In Decimals- Introduction (Part 1), I cover place value, and how to go from numbers to words and words to numbers. Then, covering conversion from fraction to decimal, I present the connection between "power of ten" denominators and decimals, as well as how to convert fractions to decimals when denominators are not powers of ten. Lastly, I show conversions from decimal to fraction, and conversions involving negatives and mixed numbers. |
It may be helpful to print "Sheets Used in Video" for taking notes while watching the video. I suggest printing and working the "Decimals- Introduction (Part 1)" worksheet to reinforce the concepts in Part 1 prior to viewing Part 2. The worksheet involves matching numbers to words, three decimal to fraction conversions, and three fraction to decimal conversions. |
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Sheets Used in Video (Part 1) Sheets Used in Video (Part 1) (Answer Key) Decimals- Introduction (Part 1) Decimals- Introduction (Part 1) (Answer Key)  Comment is not working; I hope to fix it by early 2018. |
| In Decimals- Introduction (Part 2), I cover two conversions from fraction to decimal that result in a repeating pattern, and a third conversion that involves rounding prior to establishing a repeating pattern. I then present the logic of rounding and quite a few examples of how to round decimals. I finish with an explanation of how to compare decimal numbers, regarding which is greater than, less than, or equal to another. | Again, printing "Sheets Used in Video" may be helpful for taking notes while watching the video. The "Decimals- Introduction (Part 2)" worksheet has three columns, each with seven problems. Each column provides the same variety of problem types. I suggest breaks of increasing duration between working the columns; this helps to move the knowledge from short-term memory to long-term memory. Also, strive to work without looking at notes or examples; this further helps your ability to recall concepts and procedures. Lastly, you should complete the Part 1 and Part 2 worksheets, take a break of some duration--minutes, hours, or days--prior to working the columns in the "Decimals- Introduction (Review of Part 1 & Part 2)" worksheet. Each column of nine problems has a similar variety. |
| Sheets Used in Video (Part 2) Sheets Used in Video (Part 2) (Answer Key) Decimals- Introduction (Part 2) Decimals- Introduction (Part 2) (Answer Key) Decimals- Introduction (Review of Part 1 & Part 2) Decimals- Introduction(Review of Part 1 & Part 2)(Answer Key) Comment is not working; I hope to fix it by early 2018. |
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| Decimals- Sum & Difference (Addition & Subtraction) | |
| You should be familiar with addition and subtraction with negative numbers: on the Arithmetic page, see "Addition & Subtraction." You should also be somewhat familiar with decimals: see "Decimals- Introduction (Part 1 & Part 2)." I present how to add and subtract through nine examples, some of which require putting in the decimal and/or trailing zeros, three involve borrowing for subtraction. |
The worksheet "Decimals- Sum & Difference (Add & Subtract)" has three columns of four problems. Each column provides a similar variety of problems, as such, I encourage you to learn from any mistakes in one column before starting the next column. |
| Sheet Used in Video Sheet Used in Video (Answer Key) Decimals- Sum & Difference (Add & Subtract) Decimals- Sum & Difference (Add & Subtract) (Answer Key) Comment is not working; I hope to fix it by early 2018. |
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| Decimals- Multiplication & Division | |
| I show how to multiply with decimals by doing two problems, both of which involve negatives. Then, building on the division procedure that I presented in "Decimals- Introduction (Part 1)," I go through four more division problems. Lastly, I show the logic of--and the shortcut for--multiplying or dividing decimals by numbers that are powers of ten, such as 10, 100, 1000, etc. | The worksheet "Decimals- Multiplication & Division," has three columns of six problems. Each column has a similar variety of problems; I suggest learning from any mistakes in one column before attempting the next. Breaks are helpful for developing long-term memory of the concepts. |
| Sheets Used in Video Sheets Used in Video (Answer Key) Decimals- Multiplication & Division Decimals- Multiplication & Division (Answer Key) Comment is not working; I hope to fix it by early 2018. |
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