When Gauss was in elementary school, once after the teacher taught addition, because the teacher wanted to have a rest, he came up with a topic for students to calculate. The theme is:

1+2+3+ .....+97+98+99+ 100 = ?

The teacher is thinking, now the children must start class! I used this as an excuse to go out, but Gauss stopped me! ! It turns out that Gauss has worked it out. Little friend, do you know how he did it?

Gauss told everyone how he worked it out: add 1 to 100, and add 100 to 1, adding two lines, that is:

1+2+3+4+ .....+96+97+98+99+ 100

100+99+98+97+96+ .....+4+3+2+ 1

= 10 1+ 10 1+ 10 1+ .....+ 10 1+ 10 1+ 10 1+ 10 1

10 1 has 100 sums, but the formula is repeated twice, so the answer obtained by dividing 10 100 by 2 is < 5050 >.

Since then, the learning process of Gauss Elementary School has already surpassed other students, which laid the foundation for his future mathematics and made him a mathematical genius.