A quick explanation of e^(pi i) in terms of motion and differential equations

The answer lies in the weirdness of floating-point numbers and the computer's perception of a number line.

It’s usually not a great idea to break laws, but breaking the laws of science is an exception! In fact, it’s often how we make progress.

A quick explanation of e^(pi i) in terms of motion and differential equations

Today we’re going to talk about how to keep information secret, and this isn’t a new goal. From as early as Julius Caesar’s Caesar cipher to Mary, Queen of Scots, encrypted messages to kill Queen Elizabeth in 1587, theres has long been a...

Having trouble remembering the order of operations? Let's raise the stakes a little bit. What if the future of your (theoretical) kingdom depended on it? Garth Sundem creates a world in which PEMDAS is the hero but only heroic when in...

What are logarithms and why are they useful? Get the basics on these critical mathematical functions -- and discover why smart use of logarithms can determine whether your eyes turn red at the swimming pool this summer. Lesson by Steve...

In this shorts math video we will answer a standardized math test question using the Product of Powers Property. We will read the problem and understand that our possible answer choices are all powers. We will review the given math...

In this shorts math video we will review how to write an exponential function to answer a standardized math test question. We will identify the key information provided in the problem - initial amount, rate of increase or decrease, and...

In this math video we will be simplifying radicals TWO ways. We will begin by understanding the power and the relationship between the exponent and the base. We will multiply the base by itself twice since the exponent is 2. We will...

In this shorts math video we will learn about the factors of an exponential expression. We will understand that the exponent of an exponential expression is a variable. The base of the power in the expression is the amount of...

In this high school algebra math video we will be interpreting an exponential model or a real world problem.
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A t-shirt company purchases a new packaging & tracking system — and we are given an equation that models...

In this video, we’ll explore a real-world exponential growth function that models the changing value of a rare painting purchased by an art museum. 🖼️
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We’re given a function that represents the projected value of the...

In this math video we will find the product of values in scientific notation. We will understand that scientific notation is a factor multiplied by a power of ten. We will write a value from scientific notation to standard form with a...

In this math video we will be applying exponent properties to simplify numerical expressions containing exponents. We will review the Product of Powers Property, the Power of a Power Property and the Zero Exponent Property. We will use...

In this math video we will simplify expressions with exponents to determine which represents the value of a given number as an expression with a whole-number exponent. We will understand that an exponent tells us how many times to...

A video entitled "Different Bases" that covers rewriting expressions using the rule for applying powers to expressions with different bases.

A video entitled "Integer Exponents" that covers how to calculate bases raised to positive exponents.

A video entitled "Add/Subtract Scientific Notation" which shows how exponents much match in order to add numbers in scientific notation.

A video entitled "ID Functions by Equation" that covers characteristics of equations that are functions and characteristics of equations that are not functions.

Pupil outcome: I can evaluate a number written as a product of its prime factors. Key learning points: - Evaluating a product of primes will give a unique positive integer. - It is useful to compare numbers using their prime factor...

Pupil outcome: I can understand and use correct notation for positive integer exponents. Key learning points: - There is special notation for squares and cubes and each part can be named. - Repeated multiplication of the same number can...

Pupil outcome: I can manipulate a simple equation using a bar model. Key learning points: - Calculations can be evaluated by following the standard order of operations for 4 operations. - Calculations including exponents and brackets can...

How to convert a decimal number to the IEEE 754 Single Precision Floating Point Format. Learn it step-by-step!