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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

Is 13 over 2 an irrational number?

No. If you divide an integer by another integer, you get a rational number, by definition.
13/2 is rational because it is a ratio of two integers.

What is meant by comma between two numbers?

it is an ordered pair meant to be graphed on a linear plane.

Is 858 a composite number?

858 is a composite numbers - its positive integer factors are:

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Is 1 a prime number explain this to a 11 year old?

I assume that if your 11 years old, you're in Grade 6, right?

Anyway, 1 is not a prime number or a composite number. A prime number is a number with only two factors: 1 and itself, while a composite number is a number with more than two factors. 1 is not either of those because its only factor is 1. Therefore, you could say it's a "special number".

What is 2 whole one fourths plus 1 whole three eighths equal but the answer goes to a mixed number?

Three and five eights as a mixed number, 29 over 8 as an improper fraction. Hope this helped!

Are there any numbers with 17 factors?

Yes because the product of the first 17 prime numbers will have 17 factors

Is there an abundant number that is not an even number?

The only requirement for a number to not be even is that it cannot be divisible by 2. Therefore, a very large number such as 423078439532931 can be odd regardless of it's size simply because one cannot evenly divide the number by 2.

How do you write 8297424 in words?

8,297,424 = eight million, two hundred ninety-seven thousand, four hundred twenty-four.

What numbers are real numbers made of?

Richard Dedekind came up the concept of Dedekind cuts, which have since become the standard definition of real numbers. A Dedekind cut for a real number x is the subset of all numbers such that are smaller than or equal to x.

What is a defcient number?

It is a number for which the sum of the proper divisors is less the the number.

Example: 21 has divisors 1, 3, and 7. The sum is 11 which is less than 21.

Note: All prime numbers are deficient and as there are an infinite number of them, there are an infinite set of deficient numbers too.

What are the real reasons that the Romans preferred IIII instead of IV for 4 if not for fear of offending Jupiter their almightest of God?

The ancient Romans worshipped many gods and the greatest of these gods was Jupiter which in Latin was written out as IVPPITER and to denigrate his name into the image of IV for 4 was seen as an act of blasphemy.

So to be on the safe side the Romans wrote out IIII for 4 instead of IV and even today the superstition still lingers on because most clocks and watches bearing Roman numerals still prefer IIII rather than IV.

In fact there is a connection between IIII and IV because if we were to add I to IIII we get IIIII which adds up to V and in order to keep the balance correct we must subtract I from V which is IV in the same way that VIIII (9) is abrdged to IX (10-1) as can LXXXXVIIII (99) be abridged to IC (100-1)

QED by David Gambell