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Bases – What are they? (Part 4) How to write base notation

How do you symbolize different bases? Is there a way that mathematicians write “base 2″ for example, without having to write out the words?

There are several ways that bases can be symbolized. The two most common are simply to subscript the number of the base to the right and down of the number, like this:

1012

That lets [...]

Bases – What are They? (Part 3) How to change base 2 numbers into base 10

This short lesson is a continuation of the posts at:

What is a Base? and
How to change base 2 numbers into base 10

In those lessons, we talked about what bases are, what they’re used for, and how to change numbers from base 10 to base 2 (easy!)

It’s even easier to change numbers from [...]

What is the difference between a number and a numeral?

A number is a concept that we have for some value. For example, hold out four fingers. You can conceive of the number four, you know how many are there. That is the number – more or less the concept you have in your mind.

A numeral is a name or a symbol for that concept. The [...]

(Not Just) A Geometry Word Problem

A reader recently sent in this problem:

Help, how do you solve this???

    The area of a rectangle is 624cm2.
    The base is 8 less than 5 times the height.
    What is the perimeter?

I can not find out how to do it on line. I have a number of similar problems to solve
thanks.

- A. Reader.

Professor Homunculus replies:

Hi, Reader,

I must say that it is a good thing that it is not taught online. Specific problems should never be shown online. That would be show-and-tell, not teaching.

What you need to learn is the concepts behind the problems, then you’ll be able to crack all problems that are similar. One of the concepts is a very interesting and important part of algebra. 

Here’s a way to start figuring out how to solve your problem:

Continue reading (Not Just) A Geometry Word Problem →