Pre-Algebra: Chapter 10-8
Problem Solving Strategy Use a Simulation
A simulation is an application of the Acting It Out problem solving strategy. A simulation acts out the event so that you can see the outcomes. Examples 1 and 2 on page 525 are good examples! You can use a coin for 50-50 probability, a 6 sided die, a spinner made out of paper that has any number of letters or integers that you need for a simulation.
Alegbra: Chapter 11-1 and 11-2
Real Numbers (Square Roots) and Radical Expressions
Definition: the number c is a square root of a if c^2 = a.
Prinicipal square root is the positive square root. (√)
Real numbers have 2 sets, the rational numbers and the irrational numbers. Rational number can be expressed as a ratio of 2 integers. They can have a repeating decimal AS LONG AS THERE IS A PATTERN. Irrational numbers conversely, cannot be expressed as a ratio or have a repeating decimal WITH NO PATTERN. The best irrational number is π.
We, in Algebra 1, cannot take the square root of a negative numbers. By definition, then all RADICANDS, the thing under the square root symbol MUST always be positive.
An expression written under the radical is also called a radical expression. With the exception of perfect square numbers (0, 2, 4, 9, 16, 25, 36, 49, 64, 81, 100 …) most square roots of whole numbers are irrational.
Finally, the square root of a^2 can be simplified to | a |, this gives up 2 values for the square root, a positive and negative value.