NUMBER THEORY

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Number Theory checklist

You should be able to

 distinguish among sets of numbers

 

 order a set of real numbers;

 

 generate a term of a sequence given a rule;

 

Sequences of numbers that have a recognizable pattern.

 derive an appropriate rule given the terms of a sequence;

 

Sequences of numbers that have a recognizable pattern.

 identify a given set of numbers as a subset of another set;

 

Inclusion relations

 list the set of factors or a set of multiples of a given positive integer;

 

 compute the H.C.F. or L.C.M. of two or more positive integers;

 

 state the value of a digit in a numeral in base n, where n≤10;

 

Place value and face value of numbers 2, 3, 4, 5, 6, 7, 8, 9 and 10 in base.

 use properties of numbers and operations in computational tasks;

 

Additive and multipicative identities and inverses, concept of closure, properties of operations such as commutativity, distributivity and associativity, order of operations in problems with mixed operations.

 solve problems involving concepts in number theory.