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# Number Theory Unit

### Terrell-NUMBER THEORY: Terms from the Number Theory Unit (October - November)

TermDefinitionExample
NATURAL NUMBERS The set of all counting numbers beginning with 1. (a.k.a. positive integers) 1, 2, 3, 4, 5, 6, ...
WHOLE NUMBERS The set of all counting numbers beginning with 0. (a.k.a. nonnegative integers) 0, 1, 2, 3, 4, 5, 6, ...
INTEGERS The set of all positive and negative counting numbers, including 0. ..., -3, -2, -1, 0, 1, 2, 3, ...
RATIONAL NUMBERS The set of all numbers that can be expressed as fractions. .5, -4, 37, 2/9
IRRATIONAL NUMBERS The set of all numbers that cannot be expressed as fractions. pi, the square root any prime number
DIVISIBLE The condition where one natural number divides evenly into another natural number with no remainder. 56 is divisible by 7, because 7 divides into 56 8 times with no remainder.
FACTORING The process of writing a natural number as the product of two or more natural numbers. (The numbers that make up the product are called factors.) 18 = 3 * 6; 3 and 6 are factors
PRODUCT The result of multiplying two or more numbers together. 3 * 6 = 18; 18 is the product
PRIME NUMBER A natural number that has exactly two factors, 1 and itself. 2, 3, 5, 7, 11, 13, ...
COMPOSITE NUMBER A natural number that has three or more factors. 4, 6, 8, 9, 10, 12, ...
PRIME FACTORIZATION The process of expressing a number as the product of all prime numbers. 28 = 2 * 2 * 7
MULTIPLE The product of a given number and any whole number. 2 * 1 = 2, 2 * 5 = 10, and 2 * 11 = 22; therefore, 2, 10, and 22 are multiples of 2.
TERMINATING DECIMALS Decimals that have a definite number of digits. 2.4, 6.95, 3
REPEATING DECIMALS Decimals in which one or more digits repeat forever. .3333...., .70707..., .02999...
NONREPEATING DECIMALS Decimals that do not end nor repeat. square root of any prime number, pi
POWER An expression that has base and an exponent. 2^3, x^-9
Created by: terrellmath