Positional notation and distributive property We have discussed positional notation in the context of number systems in different bases. However, now taking those concepts a bit further we can find other uses for positional notation. Another place where we can find positional notation is with multiplication and the distributive property. This will help us find […]

Below are the steps to convert a number to base 6 from base 10 Ill illustrate by example and explain each step as I go. First you will set up your problem. lets say we want to convert 200 to base 6 The problem will be set up as follows 200 = ____ x 6 […]

This poem is a free verse poem I wrote to remember the digits in pi. How it works is it uses each digit in pi as the number of letters in each word for instance the first few words are ” Now I view a world” ‘Now’ has 3 letters ‘ I ‘ is 1 […]

I found an interesting pattern while finding higher order derivatives using the power rule. I was curious what the 3rd derivative of x5 was. So I used the power rule to find the first derivative and I got f1(x)= 5×4 I applied the rule again to get the second derivative and got f2(x)= 20×3 I […]

The Pythagorean Theorem The Pythagorean theorem is probably the best known theorem in all of mathematics, or at least among the most popular. It is the famous a2 + b2= c2 Where a and b are the lengths of the sides of a right triangle and c is the length of the hypotenuse(the side opposite the […]

When studying mathematics at any level, one might find themselves asking where did this stuff come from? , or why is this useful?. The answer to these questions can be summed up in one word , Algebra. Why algebra? Why is it so important? Well, let’s look at what algebra actually means. Algebra throughout history […]

Multiply by 9,99, or 999 without multiplying There is a shortcut for multiplying by: 99, 999, 9999, and so on. This trick works with any number of 9’s you have. This trick allows you to multiply a number by another number where all of the digits of the first number are 9’s To multiply numbers […]

Positional notation is basically just a method of representing numbers relevant to their base. In our number system we use base 10. Which means that all numbers are represented by a series of 10 symbols. (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) There are many other number bases that can be used […]