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Mathematics - Coggle Diagram

- - - - Coffee? Yes, but in the right amount
      - Relax
      - Eat properly
      - Sleep
      - Make physical activity a habit
    - - Try to memorize only the essential things
      - Know yourself
      - Keep yourself focused
      - Divide
      - Use the mnemonic major system
    - - Keep yourself motivated
      - Train yourself
      - Whatever is your opinion about your "innate predisposition" to mathematics, you're not obligated to follow it
      - Don't be stubborn
    - - The basic number properties
        
        Commutative property of addition and multiplication
        
        Associative property of addition and multiplication
        
        Distributive property of multiplication over addition
        
        Invariantive property of division
        
        Identity property
        
        Zero property
      - Dividing or multiplying by 10, 100, 1000 or any other power of 10
      - Multiplication and addition tables from 0 to 9
  - - - All from 9 and the last from 10"
      - Forms
        
        Form 1
        
        1000 - xxx
        
        Form 2
        
        x000 - xxxx
        
        Form 3
        
        10000000 - xxx
  - - - Form 10s from single digits when adding a sequence of numbers
    - - If you want to add 9, just add 10 and then subtract 1
      - If you want to add 8, just add 10 and then subtract 2
      - If you want to add 7, just add 10 and then remove 3
      - If you want to subtract 7, just subtract 10 and then add 3
      - If you want to subtract 8, just subtract 10 and then add 2
      - If you want to subtract 9, just subtract 10 and then add 1
  - - - Decompose one of the numbers
      - Factorization
    - - 2
        
        Last digit is 0,2,4,8
      - 3
        
        Sum of digits is multiple of 3
      - 4
        
        Last 2 digits are divisible by 4
      - 5
        
        Last digit is 0 or 5
      - 6
        
        Meets criteria of 3 and is even
      - 7
        
        divisible by 7 the number given by ("number without its units" + "units digit you removed, multiplied by 5").
      - 8
        
        the number made up of its last three digits is divisible by 8
        
        take its third digit starting from right, double it, add it to the penultimate one, double the result and sum it to the last one. If the final result is a multiple of 8, so will be the original number
      - 9
        
        A number is divisible by 9 if the sum of its digits is divisible by 9
      - 11
        
        Starting from right and going left, sum together the digits that take up an even place in your number. Then do the same with the digits in an odd place. Subtract the smaller from the larger and if the result is 0, 11 or a multiple of 11, then the examined number is also divisible by 11
      - 12
        
        A number is divisible by 12 if it's divisible by both 3 and 4
      - 14
        
        A number is divisible by 14 if it's divisible by 7 AND it's even
      - 18
        
        A number is divisible by 18 if it's divisible by 9 AND it's even
      - 22
        
        A number is divisible by 22 if it's divisible by 11 AND it's even