I got to spend the weekend with my great grandma and grandpa. It's fun going up on weekends. Grandma makes me special stuff to eat. She made me really good onion soup this time, and she baked five pies for Thanksgiving!!! I took this really good picture of her:
Big History Project Ch 5:
1. I learned that people say that around the French revolution is the start of the modern revolution. Normally called Early-Modern revolution
2. I learned that in the start of the Modern-Modern revolution, the overarching empires split up turning into two groups. The poor non-industrial areas, and the rich, very-industrial areas.
3. I learned that Darwinians tree of life theory is how someday everything will evolve and change.
I have now finished the Big History Project and will start studying Howard Zinn's A Young People's History. Then I will study The Story of the World.
I started learning about Prime and Composite numbers.
Definition: A prime number is a positive integer that is divisible by exactly 2 positive integer: 1 and the number itself. A composite number is a positive integer that is divisible by some positive integer besides 1 and the number itself.
Important: If a number is not divisible by a prime, then it is not divisible by any multiple of that prime. So, in testing whether or not a number is prime, we only need to test if that number is divisible by prime numbers.
Important: To check if a number is prime, we only need to test if it is divisible by primes whose squares are less than or equal to the number we are testing.
Important: Fundamental Theorem of Arithmetic. Every positive integer has a unique prime factorization.
Concept: We think of primes as the building block of integers. Because every integer greater than 1 can be written as a product of primes in exactly one way, prime factorizations can be particularly useful in problems involving products of integers.
Important: All of the exponents in prime factorization of a perfect square are even. Any prime factorization in which all of the exponents are even is the prime factorization of a perfect square.