text: # What are the Four Basic Rules of Mathematics
  
  An online basic mathematics rules printable
  
  ### Four Rules of Math
  
  The concepts of addition, subtraction, multiplication and division are complex abstract ideas which are interrelated.
  
  positive + positive = (add) positive
  
  Example: 2 + 1 = 3
  
  negative + negative = (add) negative
  
  Example: −3+ (−5) = −8
  
  negative + positive = (subtract)
  
  Example: 2 + (−10) = −8
  
  Take sign of number with largest absolute value
  
  Example: −14 + 16 = 2
  
  Note: −(−7) means take the opposite of (−7) = 7
  
  ## 2. Subtraction Rules:
  
  Change all subtraction to addition and take the opposite sign of the following number then follow the addition rules.
  
  Example: −7 −(9)
  
  means −7 +(−9) = -16
  
  Example: −3 −(−10)
  
  −3 + (10) = 7
  
  Example:
  
  −8 + (−9) −(−1)−2 (change all subtraction signs)
  
  −8 + (−9)+ (1) + (−2) (do addition and subtraction from left to right)
  
  −17 +(1)+ (−2)
  
  −16 +(−2) = −18
  
  Adding and subtracting with negative numbers:
  
  When adding and subtracting positive and negative numbers it is useful to remember the follow-ing rules.
  
  If the operation and the sign are the same, they work like adding a (positive) number,so that
  
  works like ++
  
  If the operation and the sign are different, they work like subtracting a (positive) number, sothat
  
  + works like −+
  
  ## 3 and 4. Multiplication / Division Rules:
  
  The rules for multiplication and division are the same.
  
  positive (✗ or ÷) positive = positive
  
  Example: 10 ÷ 2 = 5
  
  negative (✗ or ÷) negative = positive
  
  Example: −4 ✗(−3) = 12
  
  negative (✗ or ÷) positive = negative
  
  Example: 18 ÷ (−2) −9
  
  Multiplying and dividing with negative numbers:
  
  When multiplying pairs of positive and negative numbers it is helpful to remember the followingrules:When the signs of the numbers are the same the answer is a positive number.
  
  (+) ✗ (+) , answer is (+)
  
  (−) ✗ (−) , answer is (+)
  
  (+) ÷ (+) , answer is (+)
  
  (−) ÷ (−) , answer is (+)
  
  When the signs of the numbers are different the answer is a negative number.
  
  (+) ✗ (−) , answer is (−)
  
  (−) ✗ (+) , answer is (−)
  
  (+) ÷ (−) , answer is (−)
  
  (−) ÷ (+) , answer is (−)
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