Posts Tagged ‘whole’
Tuesday, November 17th, 2009
Overview of Half-Circles
Description
A detailed tutorial on equations of a half-circle. Step by step tutorial including several examples and an explanation of half-circles for reference.
Overview
A half-circle is truely half of a circle. If you take a circle and cut it in half, you will get a half circle. Because of this, the equations of the half-circle are very similar to the equations of a full circle – simply divide the equation by two. The only ones that you cannot find that way are the radius, diameter, and circumference. The radius and diameter do not change on a half-circle. There is no circumference on the half-circle, but if you need the circumference for another formula you can use the circumference of the whole circle of that half-circle.
Tags: area, basic, circle, circumference, coordinates, cut, diameter, divide, equation, Geometry, half, half-circle, pi, radius, shape, split, two, whole
Posted in Geometry | No Comments »
Thursday, November 12th, 2009
How to Find the Reciprocal of a Number
Description
A detailed tutorial on how to find the reciprocal of a number. Step by step tutorial including several examples of reciprocals for reference.
Overview
A reciprocal is a way of saying the opposite of a number, although it is not a true opposite. A true opposite of a negative number would be a positive number, and a true opposite of a positive number would be a negative number – that is why there are such things as opposite reciprocals. A more accurate name for a recirpocal would be the reverse of a number. In a fraction, the reciprocal of a number is when the numerator and the denominator are flipped. This also works for whole numbers, because you can think of the number as a numerator with denominator one.
Tags: accurate, arithmetic, denominator, flipped, fraction, integer, negative, number, numerator, opposite, positive, real, reciprocal, reverse, whole
Posted in Arithmetic | No Comments »
Friday, October 9th, 2009
Indentifying Prime Polynomials
Description
A detailed tutorial on how to identify prime polynomials. Step by step tutorial including several examples of identifying prime polynomials for reference.
Overview
Prime polynomials are any polynomial that cannot be factored. Just like a number is prime if you can not break it down into two seperate whole numbers to multiply, a polynomial is prime if you cannot break it down into two separate binomials with whole numbers to multiply. When you run into a prime polynomial when trying to solve a quadratic equation, you cannot use the factoring method. what the factoring method does is split the polynomials into a binomial, which cannot be done to a prime polynomial. If you have a prime polynomial, you have to use the quadratic formula to solve it. At first, you can spot prime polynomials by attempting to factor it, but eventually you will be able to do it just by looking at it.
Tags: algebra, binomial, equation, factoring, formula, Math, multiply, number, polynomial, prime, quadratic, whole
Posted in Algebra | No Comments »
Thursday, September 24th, 2009
The History of the Number Zero
Description
A detailed tutorial on the history of the number zero. Step by step tutorial including several citations of the history of the number zero for reference.
Overview
Zero is a number we’ve heard about a lot. It’s not a counting number, it’s not negative or positive, it’s not even or odd. It’s not a prime number, it doesn’t even really fit the definitions of a real number or a whole number although it is considered to be both. It is certainly one of the most interesting numbers you can work with. In writing, 0 is distinguished from the capital letter O by either being a bit smaller or having a bit more of an oval shape. Often when handwriting as opposed to typing a line will be drawn through the zero, although this can be confused with an empty set if you are learning set theory. The name zero came from several different lanuages, in which words similar to zero translated to “is empty” “nothing”, and “void”. When doing calculations you must be sure to know the difference between 0 and NaN – “not a number”. Often things that look like they should be zero (0 / 0, for example) are really not numbers at all.
Tags: 0, arithmetic, empty, even, Math, NaN, negative, nil, not a number, nothing, nought, null, number, odd, oh, positive, prime, real, void, whole, zero
Posted in Arithmetic | No Comments »
Tuesday, September 22nd, 2009
Definition of a Prime Number
Description
A detailed tutorial on the solving of prime numbers. Step by step tutorial including several examples of what a prime number is and the definition of a prime number for reference.
Overview
A prime number is a type of number you will hear a lot about. It is any number greater than 1 that is not divisible by anything other than itself and one. This also tells us that it must be a positive number – there are no negative numbers that are greater than 1. Also, except for one prime number, only odd numbers can be prime numbers. This is because all even numbers are divisible by 2. So the only even prime number is 2, which is only divisible by itself and 1. Examples of prime numbers are 2, 3, 5, 7, 11, and 13. You can easily check to see if a larger number is a prime number by using algebra tricks for divisibility. Remember that it must divide evenly – if you get a known fraction or decimal then it is considered to not be divisible by that number.
Tags: decimal, divisibility, even, fraction, greater than 1, Math, non-divisible, number, odd, positive, prime, prime numbers, real, whole
Posted in Arithmetic | No Comments »
