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FOA 2 Unit 1

Number Theory: real numbers system, exponents, scientific notation, properties

TermDefinition
Real Numbers all the numbers we use every day
Rational Numbers any number that can be written as a fraction (ratio); any decimal that terminates (ends) or repeats
Integers whole numbers (0, 1, 2, 3, 4, ...) and their opposites (-1, -2, -3, ...)
Whole Numbers 0, 1, 2, 3, 4, ...
Natural Numbers 1, 2, 3, 4, 5, ...
Irrational Numbers decimals that are non-terminating and non-repeating; non-perfect squares, pi
How do I handle a negative exponent? flip the base over the fraction bar and change the exponent sign to positive
What is the base of an exponent? the large number written on the line; the number that gets multiplied by itself
What is the power of an exponent? the little number that is written next to the base; it means how many times the base is multiplied by itself
What is a radical sign? the symbol that means square root
Perfect Square the number you get when you square a whole number (ex. 10 squared = 100; 100 is a perfect square)
Scientific Notation the method of writing numbers in terms of a decimal number between 1 and 10 multiplied by a power of 10
Standard Notation our normal way of writing numbers
Commutative Property of Addition a + b = b + a; 3 + 4 = 4 + 3
Commutative Property of Multiplication a * b = b * a; 5 * 6 = 6 * 5
Associative Property of Addition a + (b + c) = (a + b) + c 1 + (2 + 3) = (1 + 2) + 3
Associative Property of Multiplication (a * b) * c = a * (b * c) (4 * 5) * 6 = 4 * (5 * 6)
Distributive Property a(b + c) = a*b + a*c 2(3 + 4) = 2*3 + 2*4
Additive Identity Property a + 0 = a; 9 + 0 = 9
Multiplicative Identity Property a * 1 = a; 9 * 1 = 9
Additive Inverse Property a + (-a) = 0; 4 + (-4) = 0
Multiplicative Inverse Property a * 1/a = 1; 3 * 1/3 = 1
Multiplication of Zero Property a * 0 = 0; 7 * 0 = 0
Created by: MrsCMath7