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Introduction to Rational Numbers 150 150 Deborah

Introduction to Rational Numbers

Overview: Rational numbers are numbers that can be expressed as a ratio of integers, such as 5/6, 12/3, or 11/6.  The denominator can be 1, as in the case of every whole number, but the denominator cannot equal 0.  Decimals must be able to be converted evenly into fractions in order to be rational. Why…

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Math Review of Roots of Numbers 150 150 Deborah

Math Review of Roots of Numbers

Overview The root of any number is specified by the radical symbol (√).  It is the inverse operation to raising a number by an exponent.  Roots may be rational numbers or irrational numbers. What Is the Square Root? The square of any number is the number multiplied by itself.  For example, 62 equals 36.  The…

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Math Introduction to Probability 150 150 Deborah

Math Introduction to Probability

Overview: The probability of an event is determined by how likely that event is to happen.  If an event is impossible, it has a probability of 0.  If an event is certain to happen, it has a probability of 1.  Probabilities are usually expressed as fractions, as decimals, or as percentages. What Is an Event?…

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Math Review of the Number Pi 150 150 Deborah

Math Review of the Number Pi

Overview: The number pi (π) is one of the most important and useful numbers in math calculations involving circles, spheres, and other circular objects.  It is an irrational number with a decimal that never repeats or ends.  As a decimal, pi can be approximated by 3.1415926535. What Is Pi? As a number, pi is the…

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Math Review of Positive and Negative Exponents 150 150 Deborah

Math Review of Positive and Negative Exponents

Overview: Exponents, or powers, are shorthand for repeated multiplication of the same number, variable, or expression.  They are especially useful to describe variables and expressions that are multiplied over and over again. How Do Positive Exponents Work? Positive exponents are a signal to multiply the base that number of times.  For example, if the number…

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Solving for a Variable 150 150 Deborah

Solving for a Variable

Overview: In order to solve some algebraic equations, it is important to choose a variable within the equation and then solve the equation in terms of that variable. One strategy is to get the variable on one side of the equation and the known values on the other side of the equation, then solving the problem. Generally,…

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Using Two Variables to Solve Problems 150 150 Deborah

Using Two Variables to Solve Problems

Overview: Many equations use more than one variable, because there is more than one unknown in the sentence.  Many times, one variable is expressed in terms of the other variable.  Solving for one variable clears the way to solve for the other variable. Why Use Two Different Variables? Sometimes there are two different conditions that…

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Solving Quadratic Equations 150 150 Deborah

Solving Quadratic Equations

Overview: Quadratic equations are very common in algebra.  They have the form y = ax2 + bx + c, where a is not equal to 0.  The graph of a quadratic equation has the shape of a parabola. Solving Quadratic Equations By Graphing Quadratic functions can be graphed on a coordinate plane.  They are symmetrical…

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Math Review of Absolute Value 150 150 Deborah

Math Review of Absolute Value

Overview: Number sentences involving absolute value refer to a number’s distance from zero.  Absolute value has a number of applications, including measurements and tolerances.  It is important to read problems carefully that involve absolute value. What is Absolute Value? The mathematical definition of absolute value is a number’s distance  from zero on the number line. …

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Ratios and Proportions 150 150 Deborah

Ratios and Proportions

Overview: Ratios and proportions are common ways to compare numbers.  They have many mathematical applications, such as scale models, percentages, and interest.  Ratios and proportions can be set up with variables, and solved for those variables. What Is a Ratio? A ratio is a comparison of two numbers by division, and can be expressed in…

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