When thinking about our number system a ton of different ideas come to mind. In our number system there are so many different concepts and rules that come to mind. In order to follow along with our number system you would have to know this rules in order to come up with an answer. So, with our number system , what are the different types of numbers that come to mind?
Natural Numbers- (also known as "counting numbers")- Infinitely many natural numbers- 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 12, 13 etc.
Whole Numbers- The natural numbers together with 0
Integers- The set of real numbers consisting of the natural numbers, their additive inverses, and zero is included.
Rational Numbers- These are the numbers that can we written as a ratio between two integers, written as a fraction.
Irrational Numbers- These are the numbers that can't be written as a fraction or ratio. In the decimal form, it will never repeat. You can get close to an integer but you won't be able to get that integer right now.
Real numbers- This is the set of all numbers containing all of the rational numbers and all of the irrational numbers. I usually remember this as being...all the numbers that are on the number line.
Complex Numbers- These are the numbers that use i, imaginary unit.
While looking up information about our number system, I came across this website that I couldn't stop looking at.
On this website there are many different lessons for middle grade math. In the lessons students use interactive models and pattern blocks. Below are a list of some of the lessons.
Addition and Subtraction of Rational Numbers (Part 1 and Part 2)
Multiplication and Division of Rational Numbers
Repeating Decimals and Fractions
What is Root 2?
Comparing Pi's and Roots
These are just some of the lessons that the students could look at to help them understand our number system.