All notes · SSC

1 chapter · 9 notes · all free

1. Classification of Real NumbersIs 1 prime? Is 0 positive? Why is 9 not prime? Open the tree and see.
2. Rational and Irrational Numbers√9 is rational, √13 is not. How do you tell from the root sign?
3. Basic Characteristics of Addition and Multiplication of Real NumbersMultiply 2 < 5 by −1. Which way does the sign point now?
4. Proofs with Consecutive Natural Numbers1·2·3·4 + 1 = 25 = 5². Does it work for any four consecutive numbers?
5. Decimal Fractions1/3 gives 0.333... and never stops, 2/5 gives 0.4 and stops. Why?
6. Converting Repeated Decimal Fractions into Common FractionsIs 0.999... really 1? Learn the rule that turns a repeated decimal into a fraction.
7. Similar Repeated Decimals, Addition and SubtractionWhy does the carry come back to the last digit when you add repeated decimals? Open up the digits past the line.
8. Multiplication and Division of Repeated DecimalsDivide one endless decimal by another and the answer can stop. How?
9. Infinite Decimal Fractions and Approximate ValuesThe decimal of √2 never stops. So how do you write its approximate value to 3 places?

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