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The Signed Integers
Introduction
Introduction (3:41)
Construct and order the Integers set Z
The negative Numbers Exploration (3:33)
Construction of the integers set Z (9:57)
Compare two integers of any sign (5:24)
The totally ordered set (Z,≤) (6:06)
The integers two sided ordered line (pdf)
Section 2 Test
Add and subtract two integers of any sign
Exploration of the addition in Z (6:00)
Exploration of the subtraction in Z (8:10)
Addition and subtraction mutual properties (7:11)
The Properties of the Addition of Integers (8:22)
Solving additive and subtractive equations in Z (11:53)
The Integers additive commutative group (pdf)
Section 3 Test
Multiply Integers of any signs
Exploration of the multiplication in Z (5:17)
The commutative monoids (Z,x) and (Z*,x) (8:09)
The commutative ring (Z,+,x) (5:07)
Exponentiation of an integer of any sign (5:51)
Master Computation with addition, subtraction, multiplication and exponentiation (9:09)
Computation in the commutative ring (Z,+,x) (pdf)
Section 4 Test
The ordered commutative group (Z,+,≤)
Order and addition, and order and subtraction in Z (8:57)
Solve Additive Inequations in Z (8:17)
Solve Subtractive Inequations of Type 1 in Z (8:51)
Solve Subtractive Inequations of Type 2 in Z (8:46)
The ordered commutative group (Z,+,≤) (pdf)
Section 5 Test
The ordered commutative ring (Z,+,x,≤)
Order and multiplication by an integer of any sign (10:10)
Order and exponentiation of an integer of any sign (1) (7:56)
Order and exponentiation of an integer of any sign (2) (9:13)
The ordered commutative ring (Z,+,x,≤) (pdf)
Section 5 Test
Final assessmant - The Polynomial functions in Z
The assessment subject
Conclusion
Conclusion (3:41)
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Solve Subtractive Inequations of Type 2 in Z
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