~Any of the 3 numbers can be associated in different orders and they will still equal each other.
Multiplication: (a*b) c = a (b*c)
Addition: (a + b) + c = a + (b + c)
~Any number times its inverse will equal 1 and any number added to its inverse will equal 0.
Multiplication: a * (1/a) = 1 and a = 0
Addition: a + (-a) = 0
~The numbers “commute” around the problem. Whether you have “a” first or “b” first the answer will be the same.
Multiplication: a * b = b * a
Addition: a + b = b + a
~Any real number multiplied by 1 or added to 0 will always turn out to be that number.
Multiplication: a * 1 = a
Addition: a + 0 = a
~ Distribute the “a” throughout the problem
Multiplication over subtraction: a (b – c) = a*b – a*c
Multiplication over addition: a (b + c) = a*b + a*c
~ Any Number will always equal itself
a = a.
~If one number equals another,
than the other number also equals the first.
If a = b, then b = a
If a = b and c = d, then a + c = b + d.
If a = b and b = c, then a = c.
If a = b and c = d, then a * c = b * d.