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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

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Q: Does distributive property apply to complex numbers?
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Related questions

What is the distributive property for 79.45?

The distributive property is applicably to the operation of multiplication over either addition or subtraction of numbers. It does not apply to single numbers.


What is 23 60 in distributive property?

You need three numbers to apply a distributive property.


What is the distributive property of 18 plus 24?

The distributive property does not apply to addition by itself. So, unfortunately, the question does not make sense.


Can the distributive property be used over multiplication?

The distributive property connects two different operations - for example, addition and multiplication. In this case:a(b+c) = ab + ac Here is an example with numbers: 7(10+2) = 7x10 + 7x2 If you were thinking about other combinations of operations, I suggest you try out a few examples, whether both sides are equal or not.


How do you write 12 times 14 in distributive property?

12 times 14 = 12*(10 + 4) You could apply the distributive property twice and go for (10 + 2)*(10 + 4)


Does the commutative property of addition apply when you add to negative integers?

Yes. The commutative property of addition (as well as the commutative property of multiplication) applies to all real numbers, and even to complex numbers. As an example (for integers): 5 + (-3) = (-3) + 5


Does the distributive property apply to division?

Division is distributive over addition only in terms of addition with the numerator, but not the denominator. That is, (a + b)/x = a/x + b/x but y/(c + d) ≠ y/c + y/d


How can you apply distributive property in whole numbers?

It is usually applied in arithmetic to simplify multiplication. For example, find the value of 9*46. Now, my knowledge of the 9 times table does not extend to 46 nines and I certainly do not know the 46 times table but, using the distributive property: 9 * 46 = 9*(40 + 6) = 9*40 + 9*6 [That's the step where the distributive property was used] and, now its easy. I know 9*4 = 36 so 9*40 = 360 and 9*6 = 56 Thus 9 * 46 = 360 + 56 = 416.


What makes a number not prime or composite?

0 and 1 (and -1) are the only integers which are not prime nor composite. All non-integral numbers are also non-prime and non-composite. This is because the property is not defined for such numbers.


Can you apply the distributive property to division?

No, you can't. Example : 10 / 5= 10 /(1+2+2) is not equal to (10/1) + (10/2) + (10/2)


How can you apply the distributive property and get 22 as the final answer?

2*11 = 2*(10+1) = 2*10 + 2*1 = 20 + 2 = 22 is one possible way.


Do you use the distributive property with a monomial and a polynomial?

If you want to multiply the monomial by the polynomial, yes. In that case, you have to multiply the monomial by every term of the polynomial. For example: a (b + c + d) = ab + ac + ad More generally, when you multiply together two polynomials, you have to multiply each term in one polynomial by each term of the other polynomial; for example: (a + b)(c + d) = ac + ad + bc + bd All this can be derived from the distributive property (just apply the distributive property repeatedly).