Section 2.1: The Real Number Line
... Velocity indicates both speed and direction (up is positive and down is negative). The speed of an object is the absolute value of its velocity ...
... Velocity indicates both speed and direction (up is positive and down is negative). The speed of an object is the absolute value of its velocity ...
Basic Math Vocabulary and Properties
... Inverse OperationsReverse or Opposite operations that “undo” each other or cancels each other out. Addition and Subtraction are inverse (opposite) operations. Ex. ...
... Inverse OperationsReverse or Opposite operations that “undo” each other or cancels each other out. Addition and Subtraction are inverse (opposite) operations. Ex. ...
Warm Up
... Exit Ticket • 1. Create a real-life example that can be modeled by the expression −2 × 4, and then state the product. • 2. Two integers are multiplied, and their product is a positive number. What must be true about the two integers? ...
... Exit Ticket • 1. Create a real-life example that can be modeled by the expression −2 × 4, and then state the product. • 2. Two integers are multiplied, and their product is a positive number. What must be true about the two integers? ...
Notes
... Order of Operations The rules that say which calculation comes first in an expression They are: • do everything inside parentheses first: () • then do exponents, like x2 • then do multiplication and division from left to right • then do addition and subtraction from left to right An Expression is a ...
... Order of Operations The rules that say which calculation comes first in an expression They are: • do everything inside parentheses first: () • then do exponents, like x2 • then do multiplication and division from left to right • then do addition and subtraction from left to right An Expression is a ...
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.