Mathmatics how to

The subject is written to help slow persons that have lack of knowledge and inexperience due to limited connective grasp of written text.

Numbers one to nine are single digits and follow a precise numerical order repetitive sequence. After nine they reset to one zero making ten a double digit one and zero number. Ten is considered a bas due to our ten fingers. What follows is a zero to nine sequence in this case one zero, one one, one two, one three, one four, one five, one six, one seven, one eight and one nine respectively.

Our mathematical instinct agrees they repeat two zero, two one, two two, two three, two four, two five......to two nine followed again by three zero, three one, three two, three three, three four, three five.........repeating the zero to nine single digit numbers to three nine then four zero, four one, four two, four three, four four, four five............to four nine followed by five zero, five one, five two, five three, five four, five five........ five nine, six zero........to five nine and so on.

Our instinct in such matters agrees single zero to nine numbers repeat in the sixes, sevens, eights, nines to nine nine before resetting to one zero our mathematical instinct knows all to well a hundred.

After nine nine nine is one, zero zero, our instinct recognizes for a thousand followed by one, zero one, one, zero two, one zero three, one, zero four, one zero five in numerical order like that to nine nine nine resetting to one zero zero zero. Our instinct in these matters won't argue a four digit number for a thousand because we are including the one.

They continue to nine nine nine nine resetting to one zero zero zero zero for everybody recognizes as ten thousand followed by one zero zero zero one to nine nine nine nine nine resetting to one zero zero zero zero zero followed by one zero zero zero zero one constantly repeating in numerical the same zero to nine single digits.

The important point a zero makes one into a two digit number for ten. Our mathematical instinct won't argue with that. We intuitively recognize adding a zero to a one makes it into a ten. Another zero makes ten into three digit number for a hundred and another zero makes a a hundred into a four digit number for a thousand and another zero makes a thousand into a five digit number for ten thousand respectively. Our mathematical intuition won't be confused each zero represents a ten times progression. expressed as none linear or logarithmic positive numbers.

Anybody observant would have noticed one, ten, a hundred, a thousand, ten thousand a hundred thousand and million paten. There is a no zeros for one, one zero for ten, two zeros for a hundred, three zeros for a thousand, four zeros for ten thousand, five zeros for a hundred thousand and six zeros for a million respectively. Our intuition agrees adding a zero makes the previous ten times greater.

By now your mathematical instinct would agree it noticed adding a zero was one multiplied by ten. Your math's skill tells you it agrees adding another zero constitutes to ten multiplied by ten giving us a hundred. It agrees adding another zero gives us a hundred multiplied by ten giving us a thousand. It agrees if we add another zero gives us thousand multiplied by ten and another zero added giving us ten thousand multiplied by ten respectively. Your instinct agrees with the statement every zero added is multiplied by ten times.

It agrees adding another zero gives us ten million, adding anther zero gives us another ten times, a hundred million and adding another zero gives us another ten times and another zero gives us another ten times. Your math's instinct agrees a billion is equal to one multiplied by ten twelve times giving you a thirteen digit number ( one and twelve zeros ) and so on.

And so your instinct agrees if we add another zero becomes ten times for ten billion, another zero makes it a hundred billion and another zero makes it a thousand billion respectively. Your instinct can tell by adding zeros counts ten times greater than the every previous. Your instinct tells you we can count well into excess of multiplying one by ten billions and billions of times over with out end and agrees with the statement no where near infinity. It agrees with the statement if we multiply one by ten a billion times gives us a billion zero long number and we can add any number of more zeros and still never reach infinite agreeing because adding zeros can have no end.

When our mathematical instinct is aroused it recognizes a law of mathematics as natural as the air we breath. Take a common children times table chart in the times three table that three seven's are twenty one. Our instinct agrees it is the same sum found in the times seven table, seven three's are twenty one.

Operating on the principle our mathematical instinct agrees if we take three sevens are twenty one we can divide twenty one by three equals seven or we can divide twenty one by seven equals three respectively. Our intuition in math's agrees math's can't lie. Our intuition instinctively see's a use of this law. We can ask ourselves how many three's go into twenty one. Our instinct agrees it is a simple matter of dividing twenty one by three. Or we can ask ourselves the same question of how many seven's go into twenty one. Our instinct aggress dividing twenty one by three gives us seven.

Our mathematical intuition agrees in multiplication it doesn't mater what way we multiply the answer's are both the same. It also recognizes if we need to know an unknown number it is only a matter of thinking how many goes into we are using division to find the answer. It is instinctive to recognize when we ask our selves how many fifties go into a hundred, two because there are two fifties in a hundred. Our instinct aggress it is merry a hundred divided by two which is a hundred divided in half instinctively recognizing fifty two's make a hundred. Our instinct aggress we can ask ourselves how many two's go into a hundred as a hundred divided by two is dividing a hundred in half which is fifty two's make a hundred. Our mathematical instinct can't argue with that.

It also recognizes we can work out how many fifties go into two. Our instinct agrees obviously won't go. It agrees its only a matter of asking how many fifties goes into twenty but recognizes also won't go. It agrees in principle to ask what about two hundred? Our math's instinct agrees there is two fifties in a hundred so there should be four in two hundred. It recognizes the two zeros of two hundred to transpose from the right of four to the left separating the first zero with a dot we have zero point zero four as the answer.

Our mathematical instinct is also intuitive  at asking how many years go into thirty month's. It agrees there is twelve month's in a year agreeing two twelve month's makes twenty four month's total agreeing equals two years. It recognizes twenty four month's in thirty months with six month's over because it recognizes because thirty takeaway twenty four recognizing at the same time equal to twenty four plus six equals thirty agreeing six moth's is half a year. It agrees in principle in other words thirty month's is equal to two and a half years.

Our mathematical instinct is also intuitive in recognizing some numbers dived cleanly such as the children times table answers. Mathematicians tell us theses are called composites. It agrees there are numbers unlike the composites in the children's time table don't divided evenly. It instinctively agrees with the statement there is is always some number that divides with fractions remaining. These numbers happen to be one, two, three, five, seven and nine mathematicians call primes.

However mathematicians have been intrigued with the number one for centuries. Our initiation agrees with the statement one will divide into all numbers including both primes and composites. Our instinct aggress it is only a matter of asking how many ones go one. Of course it is only one one. How about the same question into three? Our math's instinct agrees of course there are three ones in three.

Our instinct knows to ask how many ones go into a composite like four. Of course there are four ones in four. Our mathematical inactive agrees it is only a matter of asking how many fours go into four.  Of course one four. The same is true with the rest of the composites of the entire time table answers. Our math's inactive aggress with the statement one goes evenly in both prime and composites. It agrees with the statement arithmetic doesn't lie you know.

It recognize not just for primes but all numbers agreeing including all the composites it observes in the answer columns in children's time tables. Our instinct aggress with the statement one can dived into primes and composites evenly. It can't argue with that because one divide one is one one so one is dividing evenly as equal as it divides into three (three one's the number prime) as in four. ( As four ones making a composite).

We can apply our mathematical instinct asking ourselves what is half of four. Our instinct says of course we get two. It agrees because two two's are four. However if we ask the same question with a prime like five we have a fraction over. The same is true of all primes. If we take a composite like ten we can ask how many, two's ( a prime ) go into it. Our arithmetic instinct tells us because five ( a prime ) two's ( the secondary prime ) are ten because obviously two fives is ten. We can't do this with primes. You can check the arithmetic composites in  the children's times table chart.

Our math's initiation agrees we can take the composite number ten from a times ten table dived in half our math's instinct reminding us dividing in half is merely dividing by two reminding us two is a prime. It reminds us five as half of ten is a prime number reminding us dividing five by two is two with a half over.

Our mathematical instinct agrees it had always noticed five was as far as we can dived a ten evenly. It recognizes instinctively the same rule should apply to numbers in general. Our mathematically initiation recognizes other wise always a fraction over reminding us we reach the point of a prime factor. Our instinct in such matters agrees if we take three seven's (recognizing both primes ) are twenty one ( recognizing a composite ) agrees three and seven are the prime factors that add up to the composite. It recognizes there is no reason  why not this should be true for every sun in the children's time tables. To prove this check out three three's are nine. Nine is a composite because it can be divided by another prime ( three ) with out a fraction over.

Playing round with the children's time table charts we discover we cannot dived evenly any further because we had found prime factors involved in the sum. The children's times table is a double composite number sequences. Take the times two table. In numerical order sequence in the answer column, two zeros are two. two ones are two, two three's are six, two four's are eight, two fives are ten and so on. The same is true with every table. In other words we are adding every two step. We can clearly see this with the rest of the times table.

When we check out times three we recognize addition of threes. The paten is obvious when we check out all the other tables times such as seven. We recognize a addition of sevens respectively. We have no argument with our mathematical instinct there.

We recognize immediately the same additional paten in three digit numbers. We recognize it in four digit numbers. Theses with a excellent short term mommies can handle up to five, six, seven, eight, nine, ten, eleven....... digit long times table and recognize prime factors in them. The only difficulty is such long numbers for our short term memory. There is no limit to the number of digits in a number twenty five, thirty, fifty, a hundred, thousands ten thousand digit tables even trillion digit long.

Operating on the principle of zeros making incredibly large numbers we can take an acceleration of a meter per second as every ten times the distance. If we do the arithmetic on this we would accelerate from zero movement to a meter by the end of a second. By the end of the second second we'd accelerated ten meters. By the end of the third second a hundred meters, and by the end of the fourth second a thousand meters. Our mathematical instinct agrees the standard metric system tells us there is a thousand meters in a kilometer, therefore it won't argue given we travel ten times the distance every second we traveled a kilometer by the end of four seconds. It won't argue one meter in one second, ten meters in two seconds, a hundred in three seconds and finally a kilometer in the fourth second because we are in constant acceleration of ten times the distance every second.

Our math's instinct agrees by the end of five seconds we'd  traveled ten kilometers. It won't argue by six seconds we accelerated a hundred kilometers. By seven seconds we accelerated distance of a thousand kilometers. By eight seconds. ten thousand. By nine seconds a hundred thousand. By ten seconds a thousand thousand kilometers.

Our instinct agrees if we keep accelerating like that we reach beyond the limits of our solar system less than quarter minute. ( fifteen seconds ). If we keep accelerating ten times the distance every second we would have accelerated way-way beyond the distance light travels a second in less than a quitter minute ( thirty seconds ). You insect agrees with the statement because we are accelerating all the time. It will agree we would be some hundreds and thousands of billons of kilometers across the universe in less than three quarter minute ( Forty five seconds ) Anybody curious enough and into challenging math's will be able to figure out how far we would travel in a full minute at tems times the distance every second.

Light travels a distance of just under three hundred thousand kilometers ( or a hundred and eighty six thousand miles if you like ) in a second. If we keep accelerating ten times the distance every second like that we would reach a point of trillions upon trillions trillions of kilometers across the universe in less than quarter hour. Imagine the distance in an exact hour, let a lone in an exact  day, a week, a month or a year. Imagine in a decade, a century, a millennia ( ten times the distance every second in a thousand years ) a million or a billion or even in a trillion centuries.

The numbers can go the opposite direction expressed as negative. Water is a good example. It freezes solid at zero degrees Celsius. This is the point where it cannot freeze any further despite getting colder and colder bellow the zero point past zero degrees cold.

A degree bellow zero is minus one, two degrees bellow zero is minus two and so on where it can get as cold as minis two hundred and seventy three degrees bellow zero where it is the point all activity of the atom in matter ceases. People feel hardship at minus ten degrees bellow zero. They will only last less than quarter minute exposed to minus thirty degrees. Instant death at flirty degrees. When atoms cease activity coldness can't go any further than two hundred and seventy three. It is believed this is the level of coldness deep inside black holes or at lest one or two degrees above. Such as minus.

Minus is summed up as reciprocals of the positive numbers. One degree above zero is the reciprocal of one degree above zero. So too ten degrees above zero is the reciprocal of the same number bellow one respectively. If we take for argument sake ten we can relocate the zero to the left of one between a full stop is minus ten of the same number of plus ten. In other words the reciprocal of ten is is one divided by ten, So the reciprocal of ten is a tenth expressed as zero point one and the reciprocal of a tenth is ten. In other words a reciprocal of each other.

The reciprocal of a hundred is one divided twice by ten or equal to one divide a hundred giving zero point zero one or a hundredth. Zero point zero, zero one is a the reciprocal of a thousand because it is one divided by a thousand or one by ten three times. In other words a minus of the same positive number the zeros on the left of the one. In other words thousandth is zero point zero, zero, one and the reciprocal of the same number of zeros on the right of one, and the reciprocal of a million is the same six zeros on the left of one.

In other words the reciprocal of ten is zero point one, the reciprocal of a hundred is zero point zero one, the reciprocal for a thousand is zero, point, zero, zero, one and so on. Both the positive and minus numbers are the same number. We can say the reciprocal of one is the reciprocal of ten as tenth is the reciprocal of a tenth as a hundred is the reciprocal of a hundredth and the reciprocal of a thousand is a thousandth and so on. It is clear in the paten they are reciprocals of each other. The minus of the positive and the positive of the minus respectively. A millionth and a million are the same number only reciprocals of each other.

Our mathematical instinct agrees a ten tenth's is equal to a whole one just as a million millionth's equals a whole one respectively.

Operating on the principle of one multiplied by ten many times we can dived one by ten cording to a number times. Our mathematical instinct away recognizes immediately the reciprocal of a trillion is a trillionth and a trillionth trillionth's equals a one. We see straight away infinity says just as we can add zeros to positive numbers indefinitely. we can add and add the minus zeros indefinably. A billon zero number is the reciprocals of the same number of zeros in the minus scale.

Scientific notation for such large numbers is called ten to the........ in the positives and ten to the minus in the minuses. Ten to the.......is a little razed number of time to be multiplied by just to the right of ten times any number you like the first two digits with full stop called a point. For example three thousand five hundred and seventy is notated to three point five seven times ten to the three. Proof when you multiply three point five seven by ten three times.

An identical procedure for minuses. For example three point five seven times ten to the minus three gives you zero zero zero three five seven the reciprocal of three thousand five hundred and seventy respectively. The only difference is the little take away sign just to the right between ten to the three multiplier.

Our mathematical instinct  recognizes immediately some numbers always divide with fractions over and yet others dived evenly. Mathematicians  calls any number that divides with fractions over a prime. Including one, these numbers happen to be two, three, five seven and nine. That leaves the rest of the single digit numbers, four, six, and eight that divide with no fractions mathematicians called composites. We can see clearly in the answer columns of children's time tables they are all exclusively composite numbers.

The arithmetic has intrigued mathematicians for centuries. If we take zero asking ourselves how many go into itself since zero is nothing anyway is represented by the number zero. So we can say zero divided by zero is zero

In digital electronics a brief surge of current is the number one. A good example is a keyboard keystroke, touch screen or mouse movement and clicks clicks. When there is no signal means the number zero. Zero and one are called bits and as they are a pair is expressed as binary meaning pair.

In binary arithmetic dividing one by one is an arithmetic signal to reset the one back to zero. In other words a touch screen a signal is on when we move the screen and when we don't is no signal. The arithmetic sets zero to a one reset back to zero in a endless resetting of zero and one sequences. In other words zero plus zero is a signal to change the zero to one. The same is true for zero times zero, zero dived zero, or zero takeaway zero constantly resetting zero back to one and the one back to zero.

Eight bits is called a byte meaning there is two hundred and fifty six possible combinations. Our mathematical instinct recognizes straight away  doubling eight bits is multiplied by two is sixteen bites. The total combination of sixteen bites becomes two hundred and fifty six of the eight bits multiplied by itself. Any number multiplied by itself is called a square. Once we learn eight bits doubled the total combination is squared we recognize instinctively doubling every byte constitutes a total of the zero and one bits combination is squared.

There is an intriguing geometry trick constant with straight lines and circles. If we take a piece of string and wrap round a ball and cut to exact length we can open out to a straight line and measure the length with a ruler. Our mathematical instinct recognizes the same straight line measurement is a reflection of the same circumference of all spheres no matter the size from a giant star million of kilometers across to a speck of dust. We easily recognize every straight line rolled into a circle makes the circumference of any sphere.

Our instinct in such matters will  agree all straight lines when rolled into a circle is the circumferences of any sphere. Even when we never thought of it like that there is no argument by our mind a typical thirty centimeter straight line of a common school ruler equals the same circumference of a thirty centimeter circumference sphere.

We recognize if a rule was flexible rolled into a circle every straight line division will mark out the divisions round the sphere exactly. Our mathematical intuition agrees if we measure a straight line piece of string to the exact circumference requiredof a sphere, mark the divisions on the straight line string, roll the string into a circle will mark out every division of the circumference of the circle. Our math's instinct immediately recognizes the potential for planning an engineering drawing of neat thirty spokes of a bicycle wheels. We can see clearly to mark thirty six divisions on a piece of straight string and roll into a circle line up perfect template we can draw up a perfectly divided divisions in the circle.

There is a intriguing constant called pi ( said as pie ) the small letter of Greek letter instantly recognized as it's symbol. If we align any length straight line string across the circle it will go across the same circle it makes once, twice, three times and a little bit more about a seventh over.

Our mathematical instinct recognize immediately as a one seventh. It agrees a seventh is the reciprocal of seven in which we will get no argument from our math's instinct effetely saying one divide seven. If we add three and what we learnt about primeswill be reminded three is a prime. We a total of three point one four two the fraction part accurate to only three decimal places. 

The intriguing thing with seven a prime number characteristic into one your computer's scientific calculator gives us a thirty-two decimal number and more long. The other intriguing thing if you are observant of your computer read out you will notice no two numbers together paten. If you google the geniuses book of records or look up pi in the book you will find record breaking off the tops of students heads reciting the decimal fraction several hundred decimal place records. 

That alone tells you something of primes and what you need to accomplish to find the end of the decimal fraction of pi. In fact a powerful supper computer has managed up to several million places. The thing with seven into one has no ending which appears to be infinite a source of frustration for mathematicians searching for the end for centuries. If you find the end of one dived seven you will be a math's hero to the world. We would always feel the number appears self defeating. Not only that being infinite we will find every phone number in the world in it.

Operating on the principal of the laws of mathematics master computer programmer with appropriate software can engineer three dimensional schematics geometry of sphere using the pi constant. We can engineer a two dimensional technical drawing model using circles.