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
You need three numbers to apply a distributive property.
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
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.
2*11 = 2*(10+1) = 2*10 + 2*1 = 20 + 2 = 22 is one possible way.
Communitive means of, or belonging to, a community. No numbers has this property.
The distributive property is applicably to the operation of multiplication over either addition or subtraction of numbers. It does not apply to single numbers.
You need three numbers to apply a distributive property.
The distributive property does not apply to addition by itself. So, unfortunately, the question does not make sense.
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.
12 times 14 = 12*(10 + 4) You could apply the distributive property twice and go for (10 + 2)*(10 + 4)
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
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
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.
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.
No, you can't. Example : 10 / 5= 10 /(1+2+2) is not equal to (10/1) + (10/2) + (10/2)
2*11 = 2*(10+1) = 2*10 + 2*1 = 20 + 2 = 22 is one possible way.
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).