5050. It is essentially 101 x 50, an interesting mathematical property, first stated by Carl Friedrich Gauss.
101 x 50 equals 5,050
Actually he did not invent arithmetic progression, but he had this insight as a 7 years old young student. When his teacher asked the class to sum all numbers from 1 to 100, the young Gauss did not need more than a few seconds to write "5050" in his slate. he noticed that 1+100=101, 2+99=101, 3+98=101, ... formed a sequence of 50 pairs that could summarize the calculation to 50x101= 5050. Gauss is today considered by many as the greatest mathematician that ever lived.
the answer to 1+2+3... all the way to 100 in less then a minute (1+99)+(2+98)+(3+97)+...+(49+51)=4900+100+50=5050
The sum of the first 100 numbers is 5050. There is a formula to do this, which was discovered by Carl F Gauss. S = ( N * ( N +1 ) ) / 2 so in this case: S = (100 * 101) / 2 S = 10100 / 2 S = 5050
the method of adding all the numbers from 1~100
Carl Friedrich Gauss (1777-1885)
5050. It is essentially 101 x 50, an interesting mathematical property, first stated by Carl Friedrich Gauss.
You see, 1+100= 101 and 2+99= 101 also. So, 3+98 must equal 101. Hence, that pattern repeats 50 times so 50×101=5050. So the answer is 5050. Carl Friedrich Gauss realized this.
101 x 50 equals 5,050
Actually he did not invent arithmetic progression, but he had this insight as a 7 years old young student. When his teacher asked the class to sum all numbers from 1 to 100, the young Gauss did not need more than a few seconds to write "5050" in his slate. he noticed that 1+100=101, 2+99=101, 3+98=101, ... formed a sequence of 50 pairs that could summarize the calculation to 50x101= 5050. Gauss is today considered by many as the greatest mathematician that ever lived.
I think you're referring to Carl Friedrich Gauss (1777-1855). The story is that his primary school teacher asked his pupils to add the integers from 1 to 100 believing that this would occupy them for some time. Gauss quickly gave the correct answer of 5050 presumably by reordering the terms thus: 1 + 2 + 3 + 4 + 5 + 6 + ... + 100 = (1+100) + (2+99) + (3+98) + (4+97) + (5+96) + ... + (50+51) = 101 x 50 (each of the 50 pairs adds to 101) = 5050. This particular story may not have actually happened but there is no doubt that Gauss was one of the greatest mathematicians in history.
the answer to 1+2+3... all the way to 100 in less then a minute (1+99)+(2+98)+(3+97)+...+(49+51)=4900+100+50=5050
The sum of the first 100 numbers is 5050. There is a formula to do this, which was discovered by Carl F Gauss. S = ( N * ( N +1 ) ) / 2 so in this case: S = (100 * 101) / 2 S = 10100 / 2 S = 5050
Gauss was a German mathematician who, as a child prodigy, was able to calculate the sum of all numbers from 1-100 in less then a minute.
Gauss's method was to find the sum of 1-100. He tried adding with pairs 1 + 100 = 101, 2 + 99 = 101 and so on. Each pairs was going to equal 101. Half of 100 is 50, 50 x 101 = 5,050.
There are no Gauss in a volt. The Gauss is the centimetre-gram-second system unit of measurement of a magnetic field (which is also known as the "magnetic flux density", or the "magnetic induction"). It was named after the German mathematician and physicist Karl Gauss. One gauss is defined as one maxwell per square centimeter; it equals 1 × 10−4 tesla. - - 10−9-10−8 gauss in the magnetic field of the human brain - - 0.31-0.58 gauss: in Earth's magnetic field - - 50 gauss: in a typical refrigerator magnet - - 100 gauss in a small iron magnet - - 2000 gauss in a small neodymium-iron-boron magnet - - 15,000-30,000 gauss in a medical magnetic resonance imaging electromagnet