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Numbers
Numbers are our way to quantify, label, and organize the world around us in a logical manner. However, the systems used to obtain this goal differ geographically, historically, and by relative utility. All questions pertaining to numbers, including historic labeling systems, bases of numerical systems, constants, and the various ways they're grouped together, should be placed into this category.
46,867 Questions
If you put it into matrix form, A*x = p. With A a square matrix, and x & p are column matrices, then you can separate matrix A becoming B + Ci where B contains the real parts of the coefficients, and C contains the imaginary components, then p = m + ni, and x = y + zi, then the real parts must be equal, and the imaginary parts must be equal, so:
B*y = m, and C*z = n, solve each set of equations for y & z, then your solution set will be x = y + zi.
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1 is rational. Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction.
Prime numbers from 200 to 1000?
211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997
Develop an algorithm to generate all the prime number between given 2 limites?
Take each number between the limits.
Divide it by every number from 2 to (number - 1). If it is divisible by any of the numbers, it is NOT a prime. Otherwise, it IS a prime.
In Java, that would be something like this:
int factor;
for (int number = lowerLimit; number <= upperLimit; number++)
{
for (factor = 2; number % factor != 0; factor++)
; // No statement in the for loop
if (factor == number) System.out.println(number);
}
In other words, look for the first factor; if that is the number itself, the number is a prime number.
More efficient alternatives are possible; for example, it is enough to check only factors up to the square root of the number. For very large numbers, even this is inefficient; better methods are known, but they are more complicated.
What is a prime number for a 3 grader?
All numbers have factors. Some numbers have only two factors, the number one and the number itself. These are known as prime numbers.
7 has two factors: 1 and 7. 7 is a prime number.
Is the number 36 squared in the set of rational numbers?
Yep, any rational number squared is also rational.
Is thirty thirds rational or irrational?
A rational number is one which can be expressed as one integer over another (possibly the same) integer which is not zero.
thirty thirds = 30/3 which is one integer over another integer → it is rational.
That's 4080. - But if we keep telling you, you'll never get any better .
How do you round 1.7 to the nearest whole?
Look at the tenths digit: if it is 5 or more round up otherwise round down. It is 7, thus round up, thus:
1.7 → 2 rounded to the nearest whole number.
yes any number that that can be made into a fraction is a rational number.
42= 42/1 so it is a rational number
