# Number FAQs:

Q: Is a number a mathematical object used to count?

A: Yes, and measure, and label.

Q: Is a number rational?

A: Yes.

Q: Are numbers those that are a solution to a polynomial equation with integer coefficients?

A: Yes.

Q: Is a number either rational or irrational?

A: Yes.

Q: Are numbers due to the labors of Augustin Louis Cauchy and Niels Henrik Abel?

A: Yes, and especially the latter, who was the first to boldly use complex numbers with a success that is well known.

Q: Are numbers identified with the natural numbers?

A: Yes.

Q: Is a number that it is an integer of the form n = 2k + 1?

A: Yes, and where k is an integer, and an even number has the form n = 2k where k is an integer.

Q: Are numbers stable for all usual arithmetic operations?

A: Yes, and including the computation of the roots of a polynomial, and thus form a real closed field that contains the real algebraic numbers.

Q: Are numbers discussed in the article numeral systems?

A: Yes.

Q: Is a number 0, then the number is called an imaginary number or is referred to as purely imaginary?

A: Yes, if the imaginary part is 0, then the number is a real number.

Q: Are numbers R, also written as?

A: Yes, Real numbers are usually represented by using decimal numerals, in which a decimal point is placed to the right of the digit with place value 1. Each digit to the right of the decimal point has a place value one-tenth of the place value of the digit to its left.

Q: Is a number equal to a fraction with positive denominator?

A: Yes.

Q: Is a number called a numeral?

A: Yes.

Q: Are numbers written with a preceding minus sign: -123?

A: Yes.

Q: Are numbers usually written with a negative sign?

A: Yes, As an example, the negative of 7 is written −7, and 7 + = 0. When the set of negative numbers is combined with the set of natural numbers , the result is defined as the set of integers, Z also written. Here the letter Z comes from German Zahl, meaning "number". The set of integers forms a ring with the operations addition and multiplication.

Q: Are numbers rarely used in practice?

A: Yes.

Q: Are numbers used in non-standard analysis?

A: Yes.

Q: Are numbers in the Indian Sulba Sutras composed between 800 and 500 BC?

A: Yes.

Q: Are numbers recognized as early as 100 BC – 50 BC in China?

A: Yes.

Q: Is a number both integers?

A: Yes, and then the number is called a Gaussian integer.

Q: Are numbers N?

A: Yes, and also written , and sometimes or when it is necessary to indicate whether the set should start with 0 or 1, respectively.

Q: Are numbers uncountably infinite but the set of all algebraic numbers is countably infinite?

A: Yes, and so there is an uncountably infinite number of transcendental numbers.

Q: Is a number defined as the class of relations consisting of all those relations that are similar to one member of the class?

A: Yes.

Q: Are numbers not?

A: Yes, and however, an algebraically closed field, because they do not include the square root of minus one.

Q: Are numbers not completely accepted until Caspar Wessel described the geometrical interpretation in 1799?

A: Yes.

Q: Is a number an integer that is "evenly divisible" by two, that is divisible by two without remainder?

A: Yes, an odd number is an integer that is not even.

Q: Is a number also a real number?

A: Yes.

Q: Are numbers called irrational numbers?

A: Yes.

Q: Are numbers an example of an algebraically closed field?

A: Yes, and meaning that every polynomial with complex coefficients can be factored into linear factors.

Q: Are numbers written using ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9?

A: Yes, In this base 10 system, the rightmost digit of a natural number has a place value of 1, and every other digit has a place value ten times that of the place value of the digit to its right.

Q: Are numbers commonly represented by rounding or truncating this sequence?

A: Yes, and or by establishing a pattern, such as 0.333.

Q: Is a number the sum of two primes?

A: Yes.

Q: Are numbers first established by Liouville?

A: Yes, Hermite proved in 1873 that e is transcendental and Lindemann proved in 1882 that π is transcendental.

Q: Are numbers done with arithmetical operations?

A: Yes, and the most familiar being addition, subtraction, multiplication, division, and exponentiation.

Q: Were numbers in use in India to represent debts?

A: Yes.

Q: Is a number the sum of two primes?

A: Yes.

Q: Are numbers non-computable?

A: Yes.

Q: Are numbers the natural numbers : 1?

A: Yes, and 2, 3, and so on.

Q: Is a number equal to zero or not?

A: Yes.

Q: Is a number exactly represented by its first digits and a program for computing further digits?

A: Yes.

Q: Are numbers usually attributed to Pythagoras, more specifically to the Pythagorean Hippasus of Metapontum, who produced a proof of the irrationality of the square root of 2?

A: Yes, The story goes that Hippasus discovered irrational numbers when trying to represent the square root of 2 as a fraction.

Q: Is a number a number that can be expressed as a fraction with an integer numerator and a positive integer denominator?

A: Yes.

Q: Is a number an integer greater than 1 that is not the product of two smaller positive integers?

A: Yes.

Q: Are numbers the Riemann hypothesis?

A: Yes, and formulated by Bernhard Riemann in 1859.

Q: Are numbers a subset of the complex numbers?

A: Yes.