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The Real Number System
SOL 8.2
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| A | B |
| real numbers | The set of all rational and irrational numbers |
| rational numbers | Is the set of all numbers that can be expressed as ratio (in the form of fractions, percent, or decimal), ex 1.2, 33%, 3/4 |
| integer | Integer is the set of whole numbers and their opposites (7 and -7) |
| whole numbers | The set of all whole numbers and zero 0,1, 2, 3, 4, 5, 6, 7, etc |
| natural numbers | The set of all counting numbers (does not include zero); 1, 2, 3, 4, 5, 6, 7, 8, 9, etc |
| irrational numbers | Is the set of all non repeating, non terminating decimals (ex pi, square root of 2) |
| communtative property | states that changing the ORDER of two numbers either being added or multiplied, does NOT change the value of it. a + b = b + a & ab = ba |
| associative property | states that changing the GROUPING of numbers that are either being added or multiplied does NOT change the value of it (a + (b + c) = (a + b) + c & a(bc) = (ab)c ) |
| distributive property | a(b + c) = ab + ac & (b + c)a = ba + ca |
| identitive property of addition | a + 0 = 0 + a = a |
| identitive property of multiplication | a(1) = 1(a) = a |
| additive inverse | (or negative) For each real number a, there is a unique real number, denoted -a ( a + (-a) = 0 ) |
| Multiplicative Inverse | (or reciprocal) 2's reciprocal is 1/2 |
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