Learn the 5 properties of addition with examples: commutative, associative, identity, inverse and distributive. For elementary and middle school with exercises.
The 5 properties of addition: 1) Commutative: a+b=b+a. 2) Associative: (a+b)+c=a+(b+c). 3) Identity: a+0=a. 4) Inverse: a+(-a)=0. 5) Distributive: a×(b+c)=ab+ac.
Order doesn't matter. 3+5 = 5+3 = 8. Useful for mental math.
Grouping doesn't matter. (2+8)+5 = 2+(8+5) = 15. Group numbers that make 10.
Adding zero doesn't change the number. 7+0=7. Zero is the additive identity.
Every number plus its opposite equals zero. 5+(-5)=0.
3×(4+5) = 3×4+3×5 = 27. Connects addition and multiplication.
These properties also apply in algebra. Visit propiedades de la suma for the Spanish version.
Adding $12 + $8 or $8 + $12 gives the same total of $20. Order of purchase doesn't change the total.
47+38+62: regroup as (47+53)+38=100+38=138 instead of 47+38+62 in order.
Depositing $0 to a $500 account: $500+$0=$500. Balance unchanged.
Yes, all properties of addition apply to any real number including decimals, fractions and negative numbers.
No. 10−3=7 but 3−10=−7. Subtraction is NOT commutative. Only addition and multiplication have the commutative property.