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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

How do you think about negative number?

A simple way is to think of positive and negative numbers as labels assigned to things that are opposite to one another. Pairs of opposites might include:* Position above ground level, or below ground level.

* Earning money, or losing (or spending) money.

* Having money reserves, or having a debt (which is worse than just having ZERO money).

* The two types of electrical charges.

You can think of many other examples. In many cases, it is arbitrary which of the two (in a pair) you decide to call "positive".

What numer times itelf is 63?

Pick up any calculator - or use the one included in Windows or whatever operating system you use - and calculate the square root of 63.This will give you a positive number; the same number with a minus sign will also work.

Why the 11 odd number?

Because it is not divisible by 2 with no remainder and 11 is also a prime number because it has only two factors which are itself and one

Is 4 over 5 a rational number?

Yes because 4/5 is a fraction and only rational numbers can be expressed as fractions
Yes. It's the ratio of 4 to 5 .

How would you write out 1 to 2000 in Roman numerals in the same way as the ancient Romans did and not in todays notation of them?

Notwithstanding todays modern configuration of Roman numerals inasmuch that there is substancial evidence to qualify the fact that the ancient Romans would have worked out the equivalent of 1 to 2000 on an abacus counting device as follows:-

1 to 9: I, II, III, IIII, V, VI, VII, VIII and VIIII

10 to 90: X, XX, XXX, XXXX, L, LX, LXX, LXXX and LXXXX

100 to 900: C, CC, CCC, CCCC, D, DC, DCC, DCCC and DCCCC

1000 and 2000: M and MM

To select any numerals simply write them out in descending order as in the examples: 1776 = MDCCLXXVI and 1666 = MDCLXVI

Note that sometimes it's possible to abridge numerals thus using less numerals but of equal value as the following examples show:-

4 = IIII => IV (5-1)

9 = VIIII => IX (10-1)

19 = XVIIII => IXX (20-1)

49 = XXXXVIIII => IL (50-1)

1999 = MDCCCCLXXXXVIIII => IMM (2000-1)

The way we write out Roman numerals today is because the real rules governing the Roman numeral system were changed in the Middle Ages presumably to make Roman numerals more compatible with Hindu-Arabic numerals that were being intoduced into Western Europe at the time.

QED by David Gambell

Are all deficint numbers odd numbers?

No. From Wikipedia: "The first few deficient numbers are: 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 21, 22, 23, 25, 26, 27, ..." As you can see, the list includes both even and odd numbers. For example, all powers of two are deficient.

Why the natural numbers are called so?

They are the numbers that are used for counting objects. They form the basis of the number system. Even so, why "natural", and not primary (like in colours) I don't know.

Is 1460 a even number?

Yes, 1460 is an even number, as it can be divided by 2 without a remainder.

Why is the perimeter of rectangle with an even width and lenght always an even number?

If both numbers are even, it will always be an even number. For example, 2 + 2 = 4.

Is 111 a composite or prime number?

111 is not a prime number. It is a composite number. A prime number is any number whose only factors are 1 and itself. 111's factors are 1, 3, 37, and 111.

Well, it is prime if 111 is base 2 (binary) :P

How do you you write 600309470 in word form?

six hundred million, three hundred nine thousand, four hundred

seventy.

How do you produce an irrational number with no zeros in it?

The number sqrt(2) has no zeros in it, only the digit 2!

If you mean that the decimal representation has no 2 in it, you could create an infinite decimal fraction by selecting, at random, a digit from the set {1,2,3,...,9}. Clearly it cannot have a 0 in it and, thanks to the randomness, it will be irrational.

What is a number that is not a square number?

Any number which cannot be represented by that number of beads/dots/other_symbols_or_objects arranged in a square, for example 2, 3, 5, 6, 7, 8.

Square numbers are thise that can be represented by that number of beads/dots/stars/other_symbols_or_objects arranged in a square:

* = 1^2 = 1

** = 2^2 = 4

**

***

*** = 3^2 = 9

***

etc.