1 Lesson 9 Course 3 (student notes) Objective: TSW use factor trees
... Objective: TSW use factor trees to find the prime factorization of counting numbers. TSW apply tests of divisibility. PRIME NUMBERS: Counting numbers greater than _____________ and whose only ______________ are the number itself and ______________-. Ex. 2, 3, 5, 7, 11 and 13 COMPOSITE NUMBERS: Count ...
... Objective: TSW use factor trees to find the prime factorization of counting numbers. TSW apply tests of divisibility. PRIME NUMBERS: Counting numbers greater than _____________ and whose only ______________ are the number itself and ______________-. Ex. 2, 3, 5, 7, 11 and 13 COMPOSITE NUMBERS: Count ...
What is a Closed-Form Number?
... But since W is not an elementary function [5], this is not an answer that would satisfy most high-school students. Similarly, if we allow various special functions-e.g., elliptic, hypergeometric, or theta functions-then we can explicitly express the r, in Question 2, or indeed the roots of any polyn ...
... But since W is not an elementary function [5], this is not an answer that would satisfy most high-school students. Similarly, if we allow various special functions-e.g., elliptic, hypergeometric, or theta functions-then we can explicitly express the r, in Question 2, or indeed the roots of any polyn ...
Computing with Signed Numbers and Combining Like Terms
... Why can we do this? of both the Identity for Addition and the Inverse of Addition properties. The simple problem at right illustrates the use of these properties to change 3 – 7 to 3 + (–7); that is, add zero to the original expression in the form of 7 + (–7). ...
... Why can we do this? of both the Identity for Addition and the Inverse of Addition properties. The simple problem at right illustrates the use of these properties to change 3 – 7 to 3 + (–7); that is, add zero to the original expression in the form of 7 + (–7). ...
Division by zero
In mathematics, division by zero is division where the divisor (denominator) is zero. Such a division can be formally expressed as a/0 where a is the dividend (numerator). In ordinary arithmetic, the expression has no meaning, as there is no number which, multiplied by 0, gives a (assuming a≠0), and so division by zero is undefined. Since any number multiplied by zero is zero, the expression 0/0 also has no defined value and is called an indeterminate form. Historically, one of the earliest recorded references to the mathematical impossibility of assigning a value to a/0 is contained in George Berkeley's criticism of infinitesimal calculus in The Analyst (""ghosts of departed quantities"").There are mathematical structures in which a/0 is defined for some a such as in Riemann spheres and real projective lines; however, such structures cannot satisfy every ordinary rule of arithmetic (the field axioms).In computing, a program error may result from an attempt to divide by zero. Depending on the programming environment and the type of number (e.g. floating point, integer) being divided by zero, it may generate positive or negative infinity by the IEEE 754 floating point standard, generate an exception, generate an error message, cause the program to terminate, or result in a special not-a-number value.