Notes
... The natural (or counting) numbers are 1, 2, 3, 4, 5. The whole numbers are the natural numbers together with 0. The integers are the set of real numbers consisting of the natural numbers, their additive inverses and zero. {..., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5...} The rational numbers are those ...
... The natural (or counting) numbers are 1, 2, 3, 4, 5. The whole numbers are the natural numbers together with 0. The integers are the set of real numbers consisting of the natural numbers, their additive inverses and zero. {..., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5...} The rational numbers are those ...
Logical Consequence by Patricia Blanchette Basic Question (BQ
... system S which are either true or false of that system, but which can not be derived using the deductive apparatus of that system. This is the basic insight captured in Gödel’s Incompleteness Theorem, but it is also an attribute of Cantor’s Continuum Hypothesis, which states that that there are no s ...
... system S which are either true or false of that system, but which can not be derived using the deductive apparatus of that system. This is the basic insight captured in Gödel’s Incompleteness Theorem, but it is also an attribute of Cantor’s Continuum Hypothesis, which states that that there are no s ...
Converting terminating decimals into rational numbers
... decimal was multiplied by 1 000. This is because there was only one digit recurring (i.e. 3) in the first example, while there were three digits recurring (i.e. 432) in the second example. In general, if you have one digit recurring, then multiply by 10. If you have two digits recurring, then multipl ...
... decimal was multiplied by 1 000. This is because there was only one digit recurring (i.e. 3) in the first example, while there were three digits recurring (i.e. 432) in the second example. In general, if you have one digit recurring, then multiply by 10. If you have two digits recurring, then multipl ...
Math - Student Record Sheet
... 23.0 Apply quadratic equations to physical problems 24.0 Use and know simple aspects of a logical argument: 24.1 Know the difference between inductive and deductive reasoning 24.2 Identify the hypothesis and conclusion in logical deductions 24.3 Use counter examples to show that an assertion is fals ...
... 23.0 Apply quadratic equations to physical problems 24.0 Use and know simple aspects of a logical argument: 24.1 Know the difference between inductive and deductive reasoning 24.2 Identify the hypothesis and conclusion in logical deductions 24.3 Use counter examples to show that an assertion is fals ...
An Investigation Relating Square and Triangular Numbers
... speaking of the positive integers, that … every number is either a triangular number or the sum of two or three triangular numbers; every number is a square or the sum of two, three, or four squares; every number is a pentagonal number or the sum of two, three, four, or five pentagonal numbers; and ...
... speaking of the positive integers, that … every number is either a triangular number or the sum of two or three triangular numbers; every number is a square or the sum of two, three, or four squares; every number is a pentagonal number or the sum of two, three, four, or five pentagonal numbers; and ...
Impossible, Imaginary, Useful Complex Numbers
... Maxur, Barry. Imagining Numbers. New York:Farrar Straus Giroux, 2003 Berlinghoff, William and Gouvea, Fernando. Math through the Ages. Maine: Oxton House ...
... Maxur, Barry. Imagining Numbers. New York:Farrar Straus Giroux, 2003 Berlinghoff, William and Gouvea, Fernando. Math through the Ages. Maine: Oxton House ...
4.4 Greater Than?
... example of both positive and negative numbers. Highlight for the class that these three problems are asking them to justify the properties of inequalities. Generally, students will have tested specific numbers and made generalizations about all numbers based upon the selected examples. Ask the ...
... example of both positive and negative numbers. Highlight for the class that these three problems are asking them to justify the properties of inequalities. Generally, students will have tested specific numbers and made generalizations about all numbers based upon the selected examples. Ask the ...
Introduction to Number Patterns
... A factor of a counting number divides into it exactly. A multiple of a counting number is found when you multiply that number by another counting number. A prime number has only two factors (itself and 1). A composite number has more than two factors. Divisible: A number that can be divided exactly ...
... A factor of a counting number divides into it exactly. A multiple of a counting number is found when you multiply that number by another counting number. A prime number has only two factors (itself and 1). A composite number has more than two factors. Divisible: A number that can be divided exactly ...
