Positive and Negative Numbers
We begin with a set of videos where models are used to understand and explain how to add, subtract, multiply and divide with integers. In these videos, there are no fractions or decimals involved--only positive and negative whole numbers such as -3, -2, -1, 0, 1, 2, 3, etc. Below these three basic videos with integers are videos containing negative numbers that may be fractions or decimals. These are for students who already learned how to compute with fractions and decimals.
ADDING, SUBTRACTING, MULTIPLYING AND DIVIDING INTEGERS
Adding Integers
Shows how to add postive and negative numbers; uses counters.
http://www.youtube.com/watch?v=AIWPLvTNhXs
Subtracting Integers
Shows how to subtract with positive and negative numbers; uses counters. Explains adding the opposite and the two stroke method.
http://www.youtube.com/watch?v=0sMIJkFV1uw
Multiplying & Dividing Positive & Negative Numbers
Shows the rules for multiplying and dividing with negative and positive numbers. Shows why negative times negative produces a negative number using counters.
http://www.youtube.com/watch?v=489iteE0EB4
See Exponents Basics, Exponents 1, and Exponents 3 for videos where the exponents are positive, but where the base might be negative, or negative signs may be in front of the base.
Below are videos show you how to add, subtract, multiply and divide when working with positive and negative numbers that might be fractions or decimals.
Videos with both Fractions that may also be Negative
(These videos are for students who have already learned about fractions.)
Multiply & Divide Negative Fractions (for students who have learned about negative numbers)
Add and Subtract Fractions that may be negative and have a common denominator
Add mixed numbers that may be negative and have a common denominator
Subtract mixed numbers that may be negative and have a common denominators
Add Fractions that may be negative and also have Unlike Denominators
Add & Subtract Mixed numbers that may be negative and have an unlike denominator
Videos with both Decimals that may also be Negative
(These videos are for students who have already learned about decimals.)
Decimals 7 (Add/Subtract positive and negative decimals Part 1): http://youtu.be/7QEmT3iJBtU
Decimals 8 (Add/Subtract positive and negative decimals Part 2): http://youtu.be/qJzYcLE7_Mg
Decimals 10 (Multiply Positive and Negative Decimals): http://youtu.be/oUzgwvBRSDE
Decimals 12 (Simplifying Decimals using order of Operations Part 2--Addition, Subtraction, Multiplication with negative numbers): http://youtu.be/cHu4H-tld68
(dec220.mp4)
Decimals 19 (Simplifying Decimals using order of Operations Part 4--Addition, Subtraction, Multiplication, Division--negative numbers): http://youtu.be/xsp4GGn6ZtA
(dec277.mp4)
Decimals 22 (Simplifying expressions containing Fractions, Decimals--Part 2--with negative numbers): http://youtu.be/fhHkl2sc4dE
(dec300.mp4)
To understand negative exponents, see Exponents 6, 7 & 8.