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Ab plus bc equals bc plus ab what property is this?
Commutativity.
What is assiociative property of multiplication?
Associative property of multiplication states that: (ab)c = a(bc) In words, no matter which order you multiply the numbers by, you obtain the same results.
Does distributive property apply to complex numbers?
Yes, for example (a + bi)(c + di) = ac + adi + bic + bidi, and commutative property works as well --> ac + adi + bci + bdi² --> ac + (ad + bc)i + bd(-1) = (ac - bd) + (ad + bc)i
What is the associative property in math?
The way in which numbers are grouped when added or multiplied does not change the sum or product.In symbols the associative property of addition says that (a+b) +c = a + (b +c) where a,b, and c are any numbers.The associative property for multiplication says that (ab)c=a(bc).Informally, the associative property says that grouping does not matter when applying the operation.
Why does distributive property of addition over multiplication only works when the fractions are equal to 1?
There is no distributive property of addition over multiplication. The equation works if a + (b * c) = (a + b)*(a + c) = a2 + ab +ac +bc => a + bc = a2 + ab +ac +bc ie a = a2 + ab + ac = a*(a+b+c) and that, in turn requires that a = 0 or a+b+c = 1 If a, b and c are fractions than the second condition requires the fractions to sum to 1 - not be equal to 1.
