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Number theory explains why arithmetic works.

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Q: What is the number theory diff than arithmetic?
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Can a variable measured at the interval or ratio level can have more than one arithmetic mean?

A variable measured at the interval or ratio level can have more than one arithmetic mean.


About arithmetic sequence and series?

The question needs to be a bit more specific than that!


When more than one arithmetic operator is involved in a formula excel changes the year to?

Excel does not change the year if the arithmetic operators have been used with the correct syntax.


Benefits of using floating point arithmetic over fixed point arithmetic in CPUs?

Fixed point number usually allow only 8 bits (32 bit computing) of binary numbers for the fractional portion of the number which means many decimal numbers are recorded inaccurately. Floating Point numbers use exponents to shift the decimal point therefore they can store more accurate fractional values than fixed point numbers. However the CPU will have to perform extra arithmetic to read the number when stored in this format. Fixed point number usually allow only 8 bits (32 bit computing) of binary numbers for the fractional portion of the number which means many decimal numbers are recorded inaccurately. Floating Point numbers use exponents to shift the decimal point therefore they can store more accurate fractional values than fixed point numbers. However the CPU will have to perform extra arithmetic to read the number when stored in this format.


What is a fundamental theorem of arithmetic?

The fundamental theorem of arithmetic states that every integer greater than 1 is either a prime number or can be written as a product of prime numbers. In the latter case, the prime numbers are uniquely determined apart from the order in which they appear. The theorem is also known as the unique prime factorisation theorem - for obvious reasons.

Related questions

What is the difference between a geometric sequence and arithmetic sequence?

Goemetric sequence : A sequence is a goemetric sequence if an/an-1is the same non-zero number for all natural numbers greater than 1. Arithmetic sequence : A sequence {an} is an arithmetic sequence if an-an-1 is the same number for all natural numbers greater than 1.


What is unique factor?

In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integergreater than 1 either is prime itself or is the product of prime numbers, and that this product is unique, up to the order of the factors.


What is the relationship between the terms 5 9 13 17 in this arithmetic sequence?

Each number is four more than the previous number.


What arithmetic symbol can you place between 8 and 9 to make a number greater than 8 but less than 9?

8 and a half


Does each natural number greater than one have its own unique prime factorization?

In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integergreater than 1 either is prime itself or is the product of prime numbers, and that this product is unique, up to the order of the factors.


What is every whole numbers greater than one is either a prime number or can be written as a product of a prime number in an unique way?

The Fundamental theorem of arithmetic.


What arithmetic symbol can be placed between 1 and 2 to make a number greater than 1 but less than 2?

Decimal point, giving 1.2


What is abundant factors?

In number theory, an abundant number is a number for which the sum of its proper divisors is greater than the number itself.


What is the prime factorization theorem?

In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integergreater than 1 either is prime itself or is the product of prime numbers, and that this product is unique, up to the order of the factors.


What is difference between partial differentation and normal diffrentation?

Ordinary Diff -> One variable Partial Diff -> More than one variable


How do you know if a set of numbers are arithmetic or not?

If they are all numbers - no letters other than e or pi, then they are arithmetic. Otherwise they are probably algebraic. But beware, phi is also arithmetic.


Why isn't it possible for a composite number to have more than one prime factorization?

Prime factorizations are unique. If you change the prime factorization, you change the number.