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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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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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What Are Perfect Triangles?

Image of a perfect triangle using whole numbers 6, 8, and 10

In trigonometry, a perfect triangle is defined as a triangle that has a perimeter equal to its area. There are several ways of finding perfect triangles. A perfect triangle can be an equilateral, an isosceles, or a right triangle. This article will show you several examples!

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What Is a Right Angle, and Why Is It Important?

what is a right angle: Diagram of three different triangles

If you’ve heard the term “right angle” in geometry class and wondered, “What is a right angle?” you’ve come to the right place. Here, we’ll define right angles, their properties, how they form, and how they convert to radians.

First, let’s define a right angle. In trigonometry, different types of angles are defined by their angle measurements. A right angle is 90 degrees. An acute angle is less than 90 degrees. An obtuse angle is more than 90 degrees.

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How To Find the Vertex of a Parabola

find vertex of parabola: Graph of a quadratic equation

To find the vertex of a parabola, you first need to know how to graph quadratic equations. When graphing these, remember that every quadratic function can be put into a standard form (more on this later). This allows you to find the leading coefficient and solve for the x-intercepts. The x-intercept and y-intercept are points on the graph where the parabola intersects the x-axis or y-axis.

Putting the quadratic function into standard form will also let you find the axis of symmetry, the line that runs through the vertex and divides the parabola in half. You can then find the x-coordinate and y-coordinate of the vertex, which is the highest or lowest point on a parabola.

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