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Is Zero an Integer? Yes — Here’s Why

is zero an integer: Number line that shows whole numbers are integers

You know zero is a rational number. But is zero an integer? To find out, let's review the definition of an integer: A number with no decimals or fractional components. By this definition alone, zero would classify as an integer.

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What Are the Properties of Real Numbers?

properties of real numbers: Colorful diagram showing the different types of numbers

In math, there are many different sets of numbers to work with. One set of numbers is known as real numbers. When it comes to the properties of real numbers, there are several important properties to know:

  • Additive identity
  • Multiplicative identity
  • Commutative property of addition
  • Commutative property of multiplication
  • Associative property of addition
  • Associative property of multiplication
  • Distributive property of multiplication

A property is just a way of expressing a characteristic or something that is true about real numbers. Knowing these properties will help you reduce or simplify algebraic expressions. Let's look at each property in detail to understand them better.

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How To Find the Third Side of a Triangle in 3 Ways

how to find the third side of a triangle: graph of the law of sines

There are several different ways you can compute the length of the third side of a triangle. Depending on whether you need to know how to find the third side of a triangle on an isosceles triangle or a right triangle, or if you have two sides or two known angles, this article will review the formulas that you need to know.

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What To Remember When Graphing Linear Equations

graphing linear equations: Cartesian graph

Graphing linear equations is key to helping you with making observations or insights about the equation. Before we look at graphing linear equations, let's review graphing basics.

The image above is a Cartesian graph. The x-axis goes left to right, and the x-intercept is wherever a straight line crosses over or intersects this horizontal axis. The y-axis goes up and down, and the y-intercept is wherever a straight line crosses over or intersects this vertical axis. Think of this as a rectangular coordinate system formed with evenly spaced perpendicular lines. Each ordered pair of coordinates (x,y) denotes a singular point on the graph.

The graph of a linear equation can be drawn by finding which x values and y values solve for the equation of the line, meaning those values balance the equation. For example, (2, 5) is a valid graph point for the equation graphing linear equations: y=2x+1 formula, because substituting 2 for x and 5 for y in the equation gives 5 = 2(2)+1, or 5=5. (0, 0) is not a solution because 0≠0+1, or 0≠1, and therefore is not a point on the line. Once you have collected several points, you can graph your equation.

Find the x-coordinate of a point on the graph by counting the number of spaces along the x-axis in accordance with the first value. Then, find the y-coordinate by looking at the second number and counting that number of spaces up or down the y-axis. For example, the point (2,3) would be two spaces to the right and three spaces up.

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How To Master Quadratic Regression

quadratic regression graph

Similar to functions, quadratic regression is a way to model a relationship between two sets of independent variables. Quadratic regression is the process of determining the equation of a parabola that best fits a set of data. This set of data is a given set of graph points that make up the shape of a parabola. The equation of the parabola is y = ax2 + bx + c, where a can never equal zero.

The graphs of quadratic functions have a nonlinear “U”-shape with exponential curves on either side of a single intercepting y-value. We’ll show you how to use this equation.

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