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How To Create an Absolute Value Graph

Absolute value graphs are linear representations of absolute value functions. These equations are always expressed within absolute value bars. Here is an example:

Absolute value graph: Absolute value functions equation

Taking the absolute value of a number or equation cancels out its negative signs. Even though there is a -1 in the equation above, the x-intercept would be (1,0) since anything within absolute value bars becomes positive.

When graphing absolute value equations, the shape will either be an upright or upside-down V. The point where the "V" meets represents the vertex of the graph. Let's create a graph of the absolute value function above:

Absolute value function graph

From this graph, we can determine that the vertex of this equation is (1,0), the y-intercept is (0,2), and the graph opens upward.

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Irrational Number Definition: What It Is and How To Use It

irrational number definition: Mathematical equation on graph paper and a pencil pointing to it

What are irrational numbers? If you find yourself unsure of the difference between real numbers, rational numbers, natural numbers, complex numbers, and even imaginary numbers, you are not alone. Math is one subject where it pays to be precise.

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What Is Decimal Expansion? Your Quick and Easy Guide

Value of pi written on a blackboard

Decimal expansion may sound complicated, but it only means turning a fraction or a whole number into its decimal representation. This is helpful if you are working with a calculator or want to perform operations on numbers in a decimal format.

Here, we'll show you how to use decimal expansion and the difference between finite and infinite decimal expansion.

But first, a quick review: The decimal place marks different units such as tenths, hundredths, thousandths, and so on.

And a quick note: Irrational numbers, such as Euler's number, pi, or the golden ratio, cannot be expressed as a quotient of a numerator and denominator (a fraction).

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Negative Number Line: What It Is and How To Use It

Negative number line: Number line showing negative and positive numbers

Number lines are linear representations of numeric values. Any negative integer left of zero is part of the negative number line. Any positive integer right of zero is part of the positive number line. When you move left to right, you are heading in a positive direction. Shifting right to left along the number line indicates a move in the negative direction.

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What Is a 90-Degree Angle and Why Is It Important?

what is a 90 degree angle: Compass on top of a protactor against a white background

You're given a protractor and told to measure 90 degrees. But what is a degree, and what is a 90-degree angle? Well, a degree is how we measure angles — 360 degrees marks a full circle of rotation. A 90-degree angle is also known as a right angle.

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