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Decimals

Decimals- Introduction (Part 1 & Part 2)
Decimals- Sum & Difference (Addition & Subtraction)
Decimals- Multiplication & Division

 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. 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. Sheets Used in Video (Part 1) Decimals- Introduction (Part 1) 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)Decimals- Introduction (Part 2) (Answer Key) Decimals- Introduction (Review of Part 1 & Part 2) Comment is not working; I hope to fix it by early 2018.

 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.
 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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