How to think about this 4d number system in our 3d space.

1, 2, 3, 4, 5, 6, 7, 8, 9 and 0. With just these ten symbols, we can write any rational number imaginable. But why these particular symbols? Why ten of them? And why do we arrange them the way we do? Alessandra King gives a brief history...

If Fermat had a little more room in his margin, what proof would he have written there?

The video explains how computers use a binary number system with just two digits, 1 and 0, to process information through bits. By representing data in binary code, computers can efficiently translate and execute commands. This system...

Howcast - Learn how to find the hair color that best suits your skin tone from Pierre Michel Salon colorist AJ Lordet in this Howcast hair tutorial.

Pupil outcome: I can convert decimal numbers to and from hexadecimal numbers. Key learning points: - Hexadecimal is a base-16 number system. - Binary numbers can be converted to and from hexadecimal. - Decimal numbers can be converted to...

Pupil outcome: I can read and write numbers up to one million in a range of contexts. Key learning points: - We use commas to separate the thousands from the ones and the millions from the thousands. - Grouping the digits in threes helps...

Pupil outcome: I can identify and describe patterns in the number system. Key learning points: - The pattern of counting in 50s can be seen in whole numbers and decimals. - The pattern of counting in 25s can be seen in whole numbers and...

Pupil outcome: I can explain the relationship between multiplying a number by 100 and multiples of 100 Key learning points: - Finding one hundred times as many is the same as multiplying by 100 - When a number is multiplied by one...

Pupil outcome: I can explain the relationship between multiplying a number by 10 and multiples of 10 Key learning points: - 10 is ten times the size of 1 - A digit in the tens column is 10 times the value of a digit in the ones column -...

Pupil outcome: I can recognise that a letter can be used to represent a specific unknown or a variable and know the difference. Key learning points: - A letter can be used to represent a specific unknown in a variety of ways. - A letter...

Pupil outcome: I can use my understanding of place value to create numbers that meet certain conditions. Key learning points: - The place value of a digit affects the overall value of an integer. - Integers with the same digits have...

Pupil outcome: I can use knowledge of the composition of 100 to multiply and divide by 100 in different ways Key learning points: - 100 is ten groups of ten or ten times ten. - Multiplying by 100 is equivalent to multiplying by 10 and...

In this video, we will define imaginary numbers and examine the complex number system.

Though they were great engineers, the Romans were terrible mathematicians. They relied on the knowledge of their Greek slaves, and rather than developing maths, came up with one of the most awkward numerical notation systems known to...

In the 1970s, launched aboard a space probe was what is considered one of the most important scientific diagrams ever created. If found by extraterrestrial life, the plaque explains details about the human race and where we are in the...

Join us on a journey to explore the fundamentals of numbers and counting, focusing on the base 10 system and how mathematicians use numbers to comprehend the world around us. Discover the significance of digits, learn about counting...

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 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...

It explains how to add and subtract two complex numbers. It also shows the graphical representation of sum and difference of two complex numbers.

The first fractions used by ancient civilizations were "unit fractions". Later, numerators other than one were added, creating "vulgar fractions" which became our modern fractions. Together, fractions and integers form the "rational...

The concept of imaginary and complex numbers was a powerful innovation that enabled mathematics to progress into previously uncharted territory. Although this concept was not entirely intuitive, extending our number system to include...

In this video playlist I will explain where imaginary and complex numbers come from and how we can use them to help us solve problems. We will also explore the complex property of equality to solve for values of complex numbers.

A humorous look at early attempts at creating number systems, leading up to our modern base-10 decimal number system which uses "positional notation". The story takes place on the fictitious island of Cocoloco.