(1+5)+2 = 2+(1+5)→Associative Property of Addition
5(2x+3) = 10x +15→Distributive Property
(2*x)*7 = 2*(x*7)→Associative Property of Multiplication
(3*x*4) = (3*4*x)→Commutative Property of Multiplication
(4+2)+6 = (4+(2+6)→Associative Property of Addition
The basic properties of mathematical operations and computations.
1. (1+5)+2 = 2+(1+5) - Associative Property of Addition
The grouping of numbers within the addition operation doesn't affect the result.
e.g (a+b)+c = a+(b+c)
2. 5(2x+3) = 10x +15 - Distributive Property
The multiplication is distributed over the sum inside the parentheses.
e.g a(b+c) = a*b + a*b
3. (2*x)*7 = 2*(x*7) - Associative Property of Multiplication
The grouping of numbers within the multiplication operation doesn't affect the result.
e.g (a*b)*c = a*(b*c)
4. (3*x*4) = (3*4*x) - Commutative Property of Multiplication
The order of multiplication can be rearranged without changing the result.
e.g (a*b*c) = (a*c*b)
5. (4+2)+6 = 4+(2+6) - Associative Property of Addition
The grouping of numbers within the addition operation doesn't affect the result.
e.g (a+b)+c = a+(b+c)