For people having trouble remembering what a "rational number" is, notice "ratio" inside "rational". Hence, it is a number that can be expressed as a ratio of two other numbers. Further, an "irrational number" is a number that cannot be expressed as a ratio of two other numbers.
According to Carl Sagan in the original Cosmos series from 40+ years ago... Around the year 300 BC (give or take 100 years), the Greeks introduced the term "irrational" to describe the square root of two. In their minds, every number possible could be expressed as a ratio of two integers. The concept that there could be numbers that were not a ratio made no sense to them - hence, the other meaning of "irrational", something that makes no sense. Also according to Carl Sagan, they suppressed the knowledge of this... as well as the fifth perfect solid.
My biggest difficulty in labeling the numbers was remembering the names of the categories! There are so MANY!! You mentioned imaginary and complex, but there's also transcendental and another category whose name escapes me. I feel you did an EXCELLENT job covering this subject because it's also important to know what to LEAVE OUT. There really is such a thing as "Too Much Information."
All are real numbers 1/2: fraction, rational √3: radical, root, irrational -7: integer, negative, rational (-7/1) 0: integer, rational (0/1, etc) 5.9: decimal, rational (59/10) There are also unreal (imaginary) and complex numbers as well as other categories. Categories also overlap.
This is seriously the best subscription I've made in the past week..have to get used to the American difference ad a Brit but this had been so enlightening 😊
Going by what I learned - the Natural numbers already contained 0 - and the "in between" step of positive whole numbers didnt exist - instead I learned that what you call integers as Whole Numbers (negative, 0 , positive, but no decimals) also the letters .. N then Z ..
For people having trouble remembering what a "rational number" is, notice "ratio" inside "rational". Hence, it is a number that can be expressed as a ratio of two other numbers. Further, an "irrational number" is a number that cannot be expressed as a ratio of two other numbers.
According to Carl Sagan in the original Cosmos series from 40+ years ago... Around the year 300 BC (give or take 100 years), the Greeks introduced the term "irrational" to describe the square root of two. In their minds, every number possible could be expressed as a ratio of two integers. The concept that there could be numbers that were not a ratio made no sense to them - hence, the other meaning of "irrational", something that makes no sense. Also according to Carl Sagan, they suppressed the knowledge of this... as well as the fifth perfect solid.
My biggest difficulty in labeling the numbers was remembering the names of the categories! There are so MANY!! You mentioned imaginary and complex, but there's also transcendental and another category whose name escapes me. I feel you did an EXCELLENT job covering this subject because it's also important to know what to LEAVE OUT. There really is such a thing as "Too Much Information."
All are real numbers
1/2: fraction, rational
√3: radical, root, irrational
-7: integer, negative, rational (-7/1)
0: integer, rational (0/1, etc)
5.9: decimal, rational (59/10)
There are also unreal (imaginary) and complex numbers as well as other categories. Categories also overlap.
Okay didn't consider the terms counting, natural, whole
Positive and negative integers square root numbers fractions and decibel numbers🥳👀
I definitely don't understand numbers it's like they are foreign to me.😢I’m and adult.
We all have our challenges 😊 cheer up!!🌞😊❤
just be glad he didn't talk about imaginary numbers
This is seriously the best subscription I've made in the past week..have to get used to the American difference ad a Brit but this had been so enlightening 😊
I have a question a very fair balance question how do someone with ADD understand 🧐🤔🧐 mathematics
I’m older and don’t remember as much as I would like, as I recall, I’m thinking…
Fraction
Square root
Negative
Whole number
Tenths
Holy moly! My brain is going to explode! I’m afraid of my grandsons asking for help with their homework. Good thing I’m trying to brush up now.
Going by what I learned - the Natural numbers already contained 0 - and the "in between" step of positive whole numbers didnt exist - instead I learned that what you call integers as Whole Numbers (negative, 0 , positive, but no decimals) also the letters .. N then Z ..
What colour is the chalk on a white board?
I am really beginning to love this channel although i am slowly realising that my IQ is roughly that of an overripe slightly decaying banana.
Rational numbers(it's been a while) 🥱😳🍿 slept on that one🤣 that's irrational...IR🎉 non terminating always left with a non whole remainder