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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
The rules as we now know them today governing the Roman numeral system have absolutely nothing to do with the ancient Romans whatsoever because they were changed in the Middle Ages presumably to make the Roman numeral system more compatible with the Hindu-Arabic numeral system that was gradually being introduced into Western Europe via Spain at the time and as a result the Hindu-Arabic numerals of 159 and 149 are now considered to be CLIX and CXLIX when converted into Roman numerals respectively which does not quite lend themselves easily towards mathematical interactivity between each other or any other numerals for that matter but nowadays we can extrapolate from reliable historical sources that the ancient Romans would have probably calculated the given integers as in any of the following formats:-
CLVIIII+CXXXXVIIII = CCCVIII => 159+149 = 308
ICLX+ICL = CCCVIII => (-1+160)+(-1+150) = 308
CLVIIII+CXXXXVIIII = X => 159-149 = 10
ICLX-ICL = X => (-1+160)-(-1+150) = 10
Note that the above calculations are pretty fundamental and were fairly easy to work out but for more complicated calculations the ancient Romans would have made usage of an abacus calculating device.
Yes. Any whole number is rational. An irrational number is one that goes on forever without repeating, like √2=1.414213...
One "trick" I've learned for multiplying two decimal numbers is you can shift the decimal point of one of the numbers if you shift the decimal point of the other number the same number of places in the opposite direction. Sometimes that makes the solution easier to see, saving calculation time. 1.2 x 75 is the same as 12 x 7.5 or 120 x 0.75. 0.75 is the same as 3/4, and 120 x 0.75 is the same as 0.75 x 120. Also, in word problems, the word "of" indicates multiplication (four of five is twenty, and one half of six is three). Putting that together gives us 3/4 of 120. If you know that 3/4 of 12 is 9, it's fairly easy to figure that 3/4 of 120 is 90.
How do you write a polynomial into standard form?
The standard form of a polynomial of degree (order) n isa(n)*x^n + a(n-1)*x^(n-1) + ... + a(1)*x + a(0).
Normally, of course, a(k) would be written as "a-suffix k" and x^k as "x-superscript k" which makes the whole thing look neater but, for reasons that I cannot fathom, this browser cannot handle superscripts nor subscripts.
What are allof the prime numbers?
A prime number has only two factors which are itself and one as in the following examples: 2, 3, 5, 7, 11, 13, 17, 19, 23 .... etc
Which of the first five prime numbers do not reapeat?
They are: 2, 3, 5, 7, and 13 because 11 has repeated digits
Number between 0.0322 and 0.323?
Number between 0.0322 and 0.323 are :
0.1 , 0.223 ,0.311 etc.and many more.
What is the first thousand consecutive positive odd numbers?
1, 3, 5, 7, 9, 11 and just keep adding two until you get to 1999.
