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building real number system

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BUILDING THE REAL

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The Real Number System consists of:

- Natural Numbers

- Whole Numbers

- Integers

- Fractions

- Rational Numbers

- Irrational Numbers

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Negative Numbers and Their Properties

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Prove that:

There can only be one additive inverse of a number

- Assume that there are two numbers that are additive inverses of a given number

- Argue that they must be equal

- Suppose the additive inverses of x is a and b,

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Fractions and Their Properties

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Multiplication of Fractions

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Why e don’t allo to di ide by 0?

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Rational Numbers and Irrational Numbers

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Prove that:

(1) Between every two real numbers there is a rational number.

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