Math::Arithmetic::Grade I
Arithmetic is the foundation of all mathematics. A student cannot go anywhere in Math without learning their Arithmetic first. And the first thing to learn in studying Arithmetic is to learn the numbers and their names, just like Adam did in the Garden of Eden.
It is better to learn the alphabet first before learning about numbers. But you can always learn numbers without learning the alphabet. All you have to do is used the numbers as they are written, like 1, 2, 3, instead of their names, like one, two, three.
A student should use a ruled paper or notebook, those with horizontal lines all over the paper or pages. In this way, you will not be writing your numbers all over the place with different sizes like chicken scratch. See the graphics below of how you should write your numbers.
Figure 1: Horizontal lines
Use 3 horizontal lines for each number with the middle line used to put the middle of your number, just like in learning your ABC.
Now, answer the following 10 questions.
1-10. Write the first 10 counting numbers.
John Sindayen
Math::Intermediate Algebra::College Freshman
Mathematics is the study of all number systems, their properties, and their applications. The most basic number system is the Natural Numbers or Counting Numbers with basic properties like Commutative Property and Associative Property.
The most well-known advanced number system is the Complex Numbers with properties like the composition of a Real Number component and an Imaginary Number component. The most advanced number systems belong to one of the groups in the Hypercomplex Numbers systems. These numbers are more complex than Complex Numbers.
The most applied number system is the Binary Number System which is responsible for creating most of the today's computers and all the digital electronic devices in the world like cell phones and tablets.
Define the set or subset of the following number systems.
1. Binary Numbers
2. Complex Numbers
3. Composite Numbers
4. Even Numbers
5. Integers
6. Irrational Numbers
7. Prime Numbers
8. Rational Numbers
9. Real Numbers
10. Whole Numbers
I am counting on you.
John Sindayen
Math References:
http://hotmath.com/hotmath_help/topics/number-systems.html
http://electronics.howstuffworks.com/cell-phone5.htm
https://en.wikipedia.org/wiki/Hypercomplex_number
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