Hundreds of years ago, people only knew the 9 symbol numbers 1, 2, 2, 3, 5, 6, 7, 8, and 9. Then, came the number 0, so that the total number to 10 fruit symbols. It is unknown who the creator of the numbers 0, historical evidence shows only that the number 0 was first discovered in ancient Egyptian times. Time zero just as lambang.Dalam modern times, the number zero is used not only as a symbol, but also as the numbers participating in mathematical operations. Now, use the number zero has infiltrated deep into the joints of human life. Counting system is no longer possible to ignore the presence of zero, even though it makes zero logical chaos. Let's see.
Zero, causes the computer freezes
Lessons about the number zero, from the ancient times until now always creates confusion for students and university students, even the user community. Why? Is not zero it represents something that does not exist and that no one is there, namely zero. Who is not confused? Each time the number zero appears in maths there is always an odd idea. Like no idea if something is multiplied by 0 will be absent. Could it be 5 * 0 is non-existent? (* Is multiplication). This idea makes people frustrated. Is zero a magician?
Even worse-of course-why add confusion 5 0 = 5 and 5 * 0 = 5 as well? Indeed they do, the rules are, because zero is the multiplication of numbers with a common identity. So 5 * 0 = 5 * 1. However, it is also true that 5 * 0 = 0. Waw. How about 5o = 1, but 50o = 1, too? Yes, please. Another rule of zero which is also mysterious is that a number when divided by zero is not defined. That is, whatever number that can not divide by zero. Sophisticated computer will somehow die suddenly if a sudden meeting with a zero divisor. Computer was instructed to stop thinking if met the divisor is zero.
Numbers zero: homelessness
Numbers have been prepared based on the hierarchy by a single straight line (Figure 1a). At the starting point is zero, then numbers 1, 2, and so on. Greater numbers on the right and the smaller numbers on the left. The further to the right it will be even greater numbers. Based on the degree of hierarchy (and bureaucracy numbers), if someone is walking from point 0 towards continually greater numbers to the right will reach the numbers which do not infinite. But, maybe that person to the point 0 again. Would not the world round? Could it be? Columbus Did not say that if he kept sailing until he would return to Europe?
Another. If someone from humble beginnings, he could not have reached the number 4 without first passing numbers 1, 2, and 3. But more strange is the question of possible someone could go from point zero? Obviously not, because it is not the point of zero point something that does not exist? Weird and hard to believe? Let's look further.
Consider the number line (Figure 1a), in between two numbers or between two points there is a link. Every number has a vertebra. If this segment is cut into pieces and then transferred to a black circle dot the middle segment (Fig. 1b), apparently does not have a segment number 0. Thus, the number zero was in the clouds. Zero has no homeless shelter alias. That is why the number zero should be attached to other numbers, for example, in figure 1 form the numbers 10, 100, 109, 10 403 and so forth. Thus, one can never go from zero to four digits. We must depart from the number 1.
Easy, but wrong
Teacher asks Annie describes a geometric lines of the equation 3x 7Y = 25. Annie thinks that it is necessary to get the line two points from end to end. However, after the counting-counting, it turns out there is only one point passed the line, ie, point A (6, 1), for x = 6 and y = 1 (Figure 2). So that Annie can not make those lines. The teacher reminded to use the number zero. Yes, that's the way out. First, give y = 0 obtained by x = (25-0) / 3 = 8 (rounded), is the first point, B (8.0). Furthermore, given x = 0 obtained by y = (25-3.0) / 7 = 4 (rounded), is a second point C (0.4). Line BC, is a line that sought. However, how disappointed the teacher, because it does not line through point A. Thus, the BC line is wrong.
Ani defensively that the error was very small and negligible. Teachers stated that it was not a small amount of mistakes, but what is right? Is not that the line BC can be made through the point A? Said the teacher, use the number zero in the right way. How do we have to help Annie make the correct line is? Easy, says consultant Mathematics. At first, the value of 25 in 3x 7Y should be replaced by the multiplication of 3 and 7 thus obtained 7Y 3x = 21.
Furthermore, the new equation, given y = 0 obtained x = 21 / 3 = 7 (without rounding) is the first point P (6.1). Then give the value of x = 0 obtained by y = 21 / 7 = 3 (without rounding), that's the second point Q (0, 3). Line PQ is a line parallel to the line to be searched, ie 3x 7Y = 25. Pull the line through point A parallel to PQ P1Q1 line was obtained. Well, yeah. The students have found the correct line thanks to the help of zero.
However, the teacher was very disappointed because no one really had the correct line. Is not in the equation 3x1 7x2 = 25 there is only one point of completion that is point A, which means that the equation 3x1 7x2 form only a point? Even in the equation 3x1 7x2 = 21 not there was a point in any line PQ. Therefore, the line PQ in the system of integers, does not actually exist. Strange, the number zero has deceived us. That fact, an equation does not always form a line.
Move, but still
Numbers do not only consist of integers, but also there is a decimal number for example from 0.1, 0.01, 0.001, and so on with might and strength we can call it up so small. Since very little can no longer be called or not infinite and in the end it is considered zero. However, this idea had proved confusing because if an infinitely small numbers are considered zero then means zero is the smallest number? In fact, zero represents something that is not there? Waw. That's it.
Based on the concept of decimal numbers and continuous, then the number line in Figure 1a is not that simple because there are always numbers between two numbers to three. If someone jumped from number one to number two, but on condition that must be jumped over them first to the nearest decimal, can? What is the nearest decimal until you reach the number two? It could be the number 1 / 2. However, you should not jump to number half because there is still a smaller number, namely 1 / 4. So there is always a number that more closely ... namely 0.1 and then there are 0.01, 0.001, ..., 0.000001. and so on, until eventually the number closest to the number 1 is so small that number is considered to be zero. Because the nearest number is zero alias does not exist, then you can never jump to number two?
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