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Multiplying a one digit number by 11, is easy. For example, 2 x 11 = 22. We just repeat the number back twice.
What if we have 1334 x 11? This strategy could help us to multiply any greater than 2 digits number by 11.
Two videos by Professor Edward Burger of Williams College teaching Calculus in 20 minutes.
The bottom line is, Calculus is not that hard, even though based on my experience, many students dislike it.
This algorithm is useful for kids that are lazy enough to memorize the multiplication table of 9.
Problem #2 of Project Euler
Find the sum of all the even-valued terms in the Fibonacci sequence which do not exceed four million.
Analysis
The first 10 terms of Fibonacci sequence are
1, 2, 3, 5, 8, 13, 21, 34, 55, 89, …
We need to add the even numbers terms
2 + 8 + 34, …
Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be:
1, 2, 3, 5, 8, 13, 21, 34, 55, 89, …
Mathematically, we write it as:
F(n) = F(n) + F(n-1)
This can easily be done in Python, using generators.
The box multiplication technique is suitable for people that has problem with numbers, since it will organized all the number in place.
This article will show how to do multiplication of two three digits numbers from right to left. Consider 234 × 456.
This technique of multiplication will do the multiplication from right to left. Let’s look at an example. 23 x 12 = 276
Problem #1 of Project Euler
Add all the natural numbers below 1000 that are multiples of 3 or 5.
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