Most of us were taught to add numbers together from right to left. However, it would seem much more natural to add in the same manner that we read: from left to right. This video describes an algorithm of adding from left to right, and analyzes some of the advantages of this method.
We are taught in grade school to subtract from right to left. Of course, it would seem more natural to subtract in the manner that we read--from left to right. This video describes a method of left-to-right subtraction, and provides a specific application that demonstrates its utility.
You probably know that the sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of its hypotenuse. But do you know WHY this familiar fact is true? Join us to explore the truth behind the Pythagorean Theorem and join an exclusive club that has been collecting rare membership for over 2500 years.
The author of Alice in Wonderland was a mathematician! Amongst his many mathematical works, he wrote an obscure article in the journal "Nature" that outlines a remarkable technique for dividing by 9 using nothing more than SUBTRACTION. Please consider viewing this video to learn his clever secret.
This must-see video is the second in a 2-part series that outlines Lewis Carroll's remarkable technique for DIVIDING by SUBTRACTING. This is definitely mathematics down a different rabbit hole.
Please treat yourself to a mathematical dose of understanding by watching this MathSinger video on VISUAL DIVISION.
You'll learn why most division problems have MANY solutions, and finally understand why division by 0 cannot be done. And, pictures guide the explanations all the way.
Remember that crazy procedure for DIVISION that you learned in grade school? Did you ever wonder why all of those bizarre techniques actually produced an answer? Well, wonder no more!!!
This video uses pictures, examples, and EXPLODING DOTS to demystify the process of long division. Give it a watch, and understand division for the first time in your life...
People have been checking their addition and multiplication since the 1st Century with a magic trick called Casting Out Nines. This procedure was a standard part of grade school mathematics until calculators lessened its practicality. Still, it continues to provide entertaining insight into the nature of numbers. This video introduces the method of Casting Out Nines--and, Casting Out Elevens--and explains why these fascinating procedures actually work. Please view this captivating video, and treat yourself to an entertaining trek through mathematics history!This video uses pictures, examples, and EXPLODING DOTS to demystify the process of long division. Give it a watch, and understand division for the first time in your life...
Here's an interesting puzzle...
Consider two circles that are tangent to one another and to a common line segment. Fit a small yellow triangle snugly between them so that it is pairwise tangent to the red and blue circles and also tangent to the segment. If the red and blue circles have radii a and b, what is the radius of the yellow circle in terms of a and b. Try to figure it out. Then, watch the video to confirm your solution!
Subtraction looked different in 15th century Italy. Today's students borrow from the column to the left and add 10 to the digit at hand. Italian students in the 15th century ADDED digits when subtracting! Take a time-traveling journey to sit in on a lesson in arithmetic from nearly 550 years ago...
Constructing linear functions is an important skill in many areas of Mathematics -- particularly in Algebra and Calculus. This video explains how ANY linear function can be built using three simple steps. As a bonus, there's a short song at the end to remind you of the process...
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