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Pre-Algebra: Chapter 13-3
The Real Number System
Rational numbers: Can be expressed as ratios or fractions. With decimal numbers, the part after the decimal either repeats in a pattern or truncates (stops).
Irrational numbers: Cannot be expressed as ratios or fractions. With decimal numbers, the part after the decimal continues WITH NO PATTERN forever. The best example is `π`.
Both rational and irrational numbers are of the set REAL numbers.
Rational numbers can be (from Chapter 5-1):
- Whole numbers (0, 1, 2, 3 …)
- Integers (-3, -2, -1, -, 0, 1, 2 …)
- Natural numbers (1, 2, 3 …)
There is one more set of numbers outside the REAL numbers. That you learn in Algebra II and that set of numbers is the IMAGINARY set! Wow, imaginary numbers!
Algebra: Mixed Practice 10 and 12
Chapter 5
- Exponents
- Multiplying and Dividing monomials
- Scientific notation
- Polynomials
- Addition of polynomials
- Subtraction of polynomials
- Multiplication of monomials and polynomials (FOIL)
- Multiplying binomials
- Multiplying polynomials
- Reasoning strategies by making a table or looking for a pattern
Chapter 6
- Factoring polynomials
- Difference of 2 squares
- Trinomial squares
- Factoring `x^2+bx+c`
- Factoring `ax^2+bx+c`
- Factoring by grouping
- Factoring – general strategy
- Solving equations by factoring
- Using equations that factor