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.
To apply the distributive property to an algebraic expression, you multiply each term inside the parentheses by the number or variable outside the parentheses. For example, to simplify 2(x + 3), you would multiply 2 by both x and 3, resulting in 2x + 6.
To find the product of 7 and 63 using the distributive property, you can break down 63 into more manageable parts. For example, you can express 63 as 60 + 3. Then, apply the distributive property: (7 \times 63 = 7 \times (60 + 3) = 7 \times 60 + 7 \times 3). This simplifies to (420 + 21), which equals 441.
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.
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)
To apply the distributive property to an algebraic expression, you multiply each term inside the parentheses by the number or variable outside the parentheses. For example, to simplify 2(x + 3), you would multiply 2 by both x and 3, resulting in 2x + 6.
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
The distributive property states that for any real numbers a, b, and c, a(b + c) = ab + ac. In the case of finding the product of 7 and 65, we can apply the distributive property to break down the multiplication into simpler operations. Therefore, 7 x 65 can be calculated as 7 x (60 + 5) = (7 x 60) + (7 x 5) = 420 + 35 = 455.
To find the product of 7 and 63 using the distributive property, you can break down 63 into more manageable parts. For example, you can express 63 as 60 + 3. Then, apply the distributive property: (7 \times 63 = 7 \times (60 + 3) = 7 \times 60 + 7 \times 3). This simplifies to (420 + 21), which equals 441.
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
12
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.