Section 5 Test | Practical Mathematics

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The Signed Integers

Introduction

Introduction (3:33)

Construct and order the Integers set Z

The negative Numbers Exploration (3:08)
Construction of the integers set Z (9:10)
Compare two integers of any sign (5:09)
The totally ordered set (Z,≤) (5:29)
The integers two sided ordered line (pdf)
Section 2 Test

Add and subtract two integers of any sign

Exploration of the addition in Z (5:09)
Exploration of the subtraction in Z (7:05)
Addition and subtraction mutual properties (6:26)
The Properties of the Addition of Integers (5:58)
Solving additive and subtractive equations in Z (10:16)
The Integers additive commutative group (pdf)
Section 3 Test

Multiply Integers of any signs

Exploration of the multiplication in Z (4:20)
The commutative monoids (Z,x) and (Z*,x) (7:04)
The commutative ring (Z,+,x) (4:45)
Exponentiation of an integer of any sign (4:55)
Master Computation with addition, subtraction, multiplication and exponentiation (8:00)
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 (7:11)
Solve Additive Inequations in Z (7:18)
Solve Subtractive Inequations of Type 1 in Z (7:44)
Solve Subtractive Inequations of Type 2 in Z (7:38)
The ordered commutative group (Z,+,≤) (pdf)
Section 5 Test

The ordered commutative ring (Z,+,x,≤)

Order and multiplication by an integer of any sign (8:46)
Order and exponentiation of an integer of any sign (1) (7:39)
Order and exponentiation of an integer of any sign (2) (7:43)
The ordered commutative ring (Z,+,x,≤) (pdf)
Section 6 Test

Final assessmant - The Polynomial functions in Z

The assessment subject

Conclusion

Conclusion (3:52)

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