Why do people fear flying but not coconuts? Or rollercoasters but not ladders? Find out how to calculate the theoretical or experimental probability of events, and why this shows that often the things we fear the most are the least...

By the end of this learning object, the student will be able to: Acquire the value of an irrational number by representing it on the number line.3499

This video will give you a clear and concise overview of the different types of numbers you'll encounter in mathematics. We focus on the different types of numbers within the Real Number category, including natural, whole, integers,...

This video will look at:

The difference between rational and irrational num
bers.
The 4 main types of rational numbers, which are integers, fraction, terminating decimals and recurring
decimals.
2 examples of irrational...

Pi (π) is a fascinating number with many applications in mathematics, physics, and engineering. Its infinite decimal representation is a reminder of its fundamental nature in the universe. Mathematician Johann Lambert proved that pi is...

UCLA historian Margaret Jacob describes how, in her view, much of what scholars currently say about Unitarianism is wrong and that the time is ripe for a rigorous historical analysis of its intellectual origins and influences.

Princeton University physicist Paul Steinhardt reveals how irrational ratios of two repeating patterns produces intriguing and unexpected effects.

In this video, the teacher discusses the concept of rational and irrational numbers by analyzing a specific number value and four statements about it. Through a clear and concise explanation of integers, whole numbers, and fractions,...

In this video, we explore the concept of closed and open sets of numbers. We learn that a set is closed under an operation if applying that operation to any two members of the set always results in a member of the set. We also discover...

We all know what numbers are 1, 2, 3, 4, 5, …. Including negative numbers -1, -2, -3, -4, -5, ... But did you know that mathematicians classify numbers into different types… into a number system. Let’s start at the top with real numbers....

In this video, the teacher explains how to determine the number of rational x-intercepts in the graph of a quadratic function by examining the method used to factor the function. The video also clarifies the difference between rational...

Although the Greeks initially thought all numeric qualities could be represented by the ratio of two integers, i.e. rational numbers, we now know that not all numbers are rational. How do we know this?

In this video, students learn about perfect squares and how to generate them. They explore the concept of a square and its area, understanding that perfect squares have integer side lengths. The video also addresses common misconceptions...

👉 Learn how to solve a quadratic equation by applying the quadratic formula. To apply the quadratic formula the quadratic equation must be equal to zero. Then you can apply the quadratic formula to determine solutions to the equation,...

In this lesson, we explored the complex number system, which extends the real number system. We learned that complex numbers consist of a real part and an imaginary part, represented as a + bi, where a and b are real numbers and i is the...

👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...

👉 Learn all about the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of...

👉 Learn how to classify numbers. We will classify numbers as real, imaginary, rational, and irrational.

👉 Learn all about the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of...

👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...

👉 Learn how to find all the zeros of a polynomial given one irrational zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a...

👉 Learn how to solve a quadratic equation by applying the quadratic formula. To apply the quadratic formula the quadratic equation must be equal to zero. Then you can apply the quadratic formula to determine solutions to the equation,...

Greg Mankiw says there should be a market for kidneys, but not for paying drug addicts to get sterilized.
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In this full-length interview from What Money Can’t Buy, political philosopher Michael Sandel and Harvard economist...

👉 Learn all about the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of...