Basic mathematics
Mathematics is a process which involves a string of integers, each with a given value (for example 1) where each integer is combined, in some way, with another integer, which will produce a third integer, which equals the given value of the combined integers in the way in which they were processed. Contents [hide]
* 1 Addition * 2 Examples:Subtraction * 3 Examples:Multiplication * 4 Examples: Division * 5 other
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Examples:Addition
Addition is a mathematical process, which combines a number of integers, to a given value, displayed by a third integer. for example, say we have: 1+2, where 1 is the first integer, + is the mathematical operator (an operator is simply a symbol for a mathematical process) for Addition, and 2 is the second integer. Now we must complete this: 1+2=3, this tells us that value of 1 and 2 added is 3. A mathematical string of integers with a value is called an equation. The set of symbols (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) for these integers is called Numbers. a Number is a symbol that stands for a certain integer's value. the Numbers are: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. these Numbers can be combined to form larger Numbers. for example: 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, etc, etc, etc. a digit is simply a value for an integer. for example, the 1-digit Numbers are: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. the two digit numbers are: 10-99 the three digit numbers are: 100-999. etc, etc, etc. numbers do not stop. a finite Number would be one that is Countable. (to count to a certain Number is to go through the string of Numbers from 1, or any given Number) for example, a finite Number would be "7" or "2". [edit]
Examples:Subtraction
Subtraction involves removing the value of one number from another, with the result usually being closer to zero. Subtraction could be described as "a change in direction on the number line", this is in reference to the fact that numbers below zero (negative numbers) actually increase (that is, become closer to zero) when subtracted from another. Positive numbers also become closer to zero when their values are taken from each other. For example, 10-3=7. But -10--3=-7, which is closer to zero than -10.
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Examples:Multiplication
Multiplication involves the process of finding the product of having mulitples (more than one) of the same number. The common symbol is an x (pronounced "Times" eg 4x5=4 times 5) For example: 5x4 means that the result will be 5 lots of 4 or 4+4+4+4+4. The result of this operation is 20. Note that 5x4 gives the same result as 4x5 i.e. 5+5+5+5=20. Multiplication can become complex when it involves decimals or fractions. For example, .02 x 100 =2, even though multiplication in its simpler for gives a larger product than its reactants.
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Examples: Division
Division is a mathematical operation used to determine how many times one number is contained in another. For example 10/5=2. This means that two lots of five make up ten. Similarly, 10/2=5, indication that five lots of two also make up ten. Where the number being divided is smaller than the number being divided by, e.g. 5/10, the result will be a decimal, or fraction. The fraction will be expressed simply as 5/10, the decimal will be .5. A simple shortcut arises when dividing numbers by powers of ten (10,100,1000 etc). Simply move the decimal place to the left by the number of zeros in the ten power. For example, 5/10 will be .5, 5/100=.05 and 5/1000=.005. [edit]
other
Every application of mathematics relies on the four basic operators of Addition, Subtraction, Multiplication and Division. Except trigometric functions.