![]() ![]() Can you guess that when we have two negatives together, it becomes a positive? It can get a little more complicated in algebra when we work with variables, or unknowns, but for now, here are examples to show how really simple the concept is: It is written with two lines around the number, and it is simply the positive value of what’s inside the lines, whether the number is positive or negative. The absolute value of a number is the distance from \(0\), so it is always a positive number. That’s all negative numbers are they just go backward the same way that positive numbers go forward. Notice how the negative integers (the ones with the minus in front of them) are the same distance from zero (\(0\)) as the positive numbers - but they are to the left of the \(0\). Let’s first re-introduce our number line: Negative numbers seem a little scary at first, but they really aren’t that bad. Negative Numbers on the Number Line Multiplying and Dividing Negative Numbers Absolute Value Summary Table of Negative Number Operations Adding and Subtracting Negative Numbers More Practice Applications of Integration: Area and Volume.Exponential and Logarithmic Integration.Riemann Sums and Area by Limit Definition.Differential Equations and Slope Fields.Antiderivatives and Indefinite Integration, including Trig.Derivatives and Integrals of Inverse Trig Functions.Exponential and Logarithmic Differentiation.Differentials, Linear Approximation, Error Propagation.Curve Sketching, Rolle’s Theorem, Mean Value Theorem.Implicit Differentiation and Related Rates.Equation of the Tangent Line, Rates of Change.Differential Calculus Quick Study Guide.Polar Coordinates, Equations, and Graphs.Law of Sines and Cosines, and Areas of Triangles.Linear, Angular Speeds, Area of Sectors, Length of Arcs.Conics: Circles, Parabolas, Ellipses, Hyperbolas.Graphing and Finding Roots of Polynomial Functions.Graphing Rational Functions, including Asymptotes.Rational Functions, Equations, and Inequalities.Solving Systems using Reduced Row Echelon Form.The Matrix and Solving Systems with Matrices.Advanced Functions: Compositions, Even/Odd, Extrema.Solving Radical Equations and Inequalities.Solving Absolute Value Equations and Inequalities.Imaginary (Non-Real) and Complex Numbers. ![]() Solving Quadratics, Factoring, Completing Square.Introduction to Multiplying Polynomials.Scatter Plots, Correlation, and Regression.Algebraic Functions, including Domain and Range.Systems of Linear Equations and Word Problems.Introduction to the Graphing Display Calculator (GDC).Direct, Inverse, Joint and Combined Variation.Coordinate System, Graphing Lines, Inequalities.Types of Numbers and Algebraic Properties.Introduction to Statistics and Probability.Powers, Exponents, Radicals, Scientific Notation. ![]()
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