Properties of Real Numbers - Maple Programming Help

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Properties of Real Numbers

Main Concept

Any real numbers a, b and c have the following properties:

1. 

They are closed under addition: a+b is a real number

2. 

They are closed under multiplication: ab is a real number

3. 

Addition is associative: a+b+c=a+b+c 

4. 

Multiplication is associative: abc=abc

5. 

Addition is commutative: a+b=b+a 

6. 

Multiplication is commutative: ab=ba

7. 

They are distributive: ab+c=ab+ac

8. 

0 is the additive identity: a+0=a

9. 

1 is the multiplicative identity: a1=a

10. 

Each number has an additive inverse: a+a=0

11. 

Each number except for 0 has a multiplicative inverse: aa1=1

 

Use the sliders to choose a, b and c. Use the radio buttons to demonstrate the distributive property: ab+c=ab+ac.

b=

c=

a=

 

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MathApps/RealAndComplexNumbers


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