A number of the form (a + bi) is a complex number.
complex
Here's the following proof that "product of two odd numbers is odd". Proof: Any odd number can be written in the form 2p+1. Let your first odd number be written in this form. Let your second odd number be written as 2q+1 - essentially the same form as above, but since p may not equal q, separate variables are used. Thus: First odd number x second odd number = (2p+1)(2q+1) = 2pq + 2p +2q +1. The plus one on the end indicates that the product is odd, as required.
a prime number is a number that you can plus by one
Not exactly. The numbers (a & b) can be any real number (positive or negative). It is the letter i, which represents the imaginary unit sqrt(-1).False
4096 is the smallest one. Since the number of factors depends on the exponents of the prime factors, plus one, multiplied together, the set of numbers that meets the requirements are of the form: p12, where p is a prime number.
Yes, a+bi is standard form for a complex number. The numbers (a) and (b) are both real and i is √(-1)
complex
It is called a complex number.
Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Standard form is the sum of all the numbers in the expanded form. Using the example, the standard form for the expansion of that number would be 371,510.
A complex number comes in two parts: a real part and an imaginary part. If the value of the real part is a and the value of the imaginary part is b, the number is written as a + bi.
10
Multiplication can be thought of as repeated addition because when you multiply two numbersÊit is equivalent to adding one of these two numbers to itself the number of times indicated by the second number. For example, 2 x 4 can be written in addition form as 2 plus 2 plus 2 plus 2. It can also be given as 4 plus 4.
Here's the following proof that "product of two odd numbers is odd". Proof: Any odd number can be written in the form 2p+1. Let your first odd number be written in this form. Let your second odd number be written as 2q+1 - essentially the same form as above, but since p may not equal q, separate variables are used. Thus: First odd number x second odd number = (2p+1)(2q+1) = 2pq + 2p +2q +1. The plus one on the end indicates that the product is odd, as required.
Yes that about sums it up.
488
If you are talking about integers, then the answer is no. A number is either of the form 2n (even) or of the form 2n + 1 (odd). This can be seen by adding 1 to each of these numbers: An even number plus one is of the form 2n + 1 and so, it is odd. An odd number plus one is of the form (2n+1)+1 = 2(n+1) and hence is even. For other numbers it does not normally make sense to call them odd or even. For instance any real number x can be written as x = 2*(x/2) and it would be even. On the other hand it can also be written as 2*(x-1/2)+1 and it would be odd. In that sense, all non-integers are neither even nor odd.