Hi GMATters,
In case you missed the last post, you can find a copy of my free 23-page Properties of Numbers guide here:
https://yourgmatcoach.withcoach.com/fre ... -questions
Comments and suggestions, as always, are welcome!
Here is a sample and Table of Contents:
Properties of Numbers
Properties of Numbers (Number Theory) is one of the most hilarious parts of higher math. It's funny because it's the foundation of all math and basically we don't know a damn thing about it.
If you took that logic one step further, you could conclude that we-as a species-- don't know a damn thing about math. That wouldn't be too far off-the farther you go in math or science, the more you realize how little we really do know!
Time to knock some topics off their pedestals and get your hands dirty from playing with them.
Now, of course, there are a great number of things that consistently work, most of which we can tell from observation.
For example, If I have two donuts in my bag and I eat one, I have one donut left in the bag. (And one in my tummy! Yum!)
It is these things that consistently work, of course, that we are concerned with.
The main concept I'm trying to impress upon you is that even the greatest mathematicians in the world know very little about WHY this stuff is the case.
What we need to learn about is HOW to use these concepts properly.
Luckily, it's not that hard to use, or we'd all be living in the Stone Age.
Put another way, these are definitions. In order to speak the same language throughout this book, you're going to have to get on board with these definitions so that I'm not talking about Hesperus while you're talking about Bosporus*.
TOC:
i) The Number Line
ii) Integers
iii) Digits
iv) Even and Odd Numbers
v) Basic Operations
v) Factors and Multiples
vi) Prime Numbers
viii) Least Common Multiple
ix) Greatest Common Factor
x) Divisibility and Remainders (or... the Space between Numbers)
xi) Consecutive Numbers and Relative Primes (skip this if you're not aiming for 700+)
xii) An Aside on Primeness
https://yourgmatcoach.withcoach.com/fre ... -questions
In case you missed the last post, you can find a copy of my free 23-page Properties of Numbers guide here:
https://yourgmatcoach.withcoach.com/fre ... -questions
Comments and suggestions, as always, are welcome!
Here is a sample and Table of Contents:
Properties of Numbers
Properties of Numbers (Number Theory) is one of the most hilarious parts of higher math. It's funny because it's the foundation of all math and basically we don't know a damn thing about it.
If you took that logic one step further, you could conclude that we-as a species-- don't know a damn thing about math. That wouldn't be too far off-the farther you go in math or science, the more you realize how little we really do know!
Time to knock some topics off their pedestals and get your hands dirty from playing with them.
Now, of course, there are a great number of things that consistently work, most of which we can tell from observation.
For example, If I have two donuts in my bag and I eat one, I have one donut left in the bag. (And one in my tummy! Yum!)
It is these things that consistently work, of course, that we are concerned with.
The main concept I'm trying to impress upon you is that even the greatest mathematicians in the world know very little about WHY this stuff is the case.
What we need to learn about is HOW to use these concepts properly.
Luckily, it's not that hard to use, or we'd all be living in the Stone Age.
Put another way, these are definitions. In order to speak the same language throughout this book, you're going to have to get on board with these definitions so that I'm not talking about Hesperus while you're talking about Bosporus*.
TOC:
i) The Number Line
ii) Integers
iii) Digits
iv) Even and Odd Numbers
v) Basic Operations
v) Factors and Multiples
vi) Prime Numbers
viii) Least Common Multiple
ix) Greatest Common Factor
x) Divisibility and Remainders (or... the Space between Numbers)
xi) Consecutive Numbers and Relative Primes (skip this if you're not aiming for 700+)
xii) An Aside on Primeness
https://yourgmatcoach.withcoach.com/fre ... -questions
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https://stan.store/yourgmatcoach
GMAT Office Hours: https://rowanhand.podia.com/gmat-office-hours
Learn more about Private GMAT Tutoring at: https://privategmattutor.london
