How to calculate 2-3 + 4-5 +. - 99 + 100 in a simple way? | Math enthusiast | Mathematical art

How to calculate 2-3 + 4-5 +. - 99 + 100 in a simple way?

2-3+4-5+.-99+100
=（2-3）+（4-5）+…… +（98-99）+100
=（-1）+（-1）+…… （-1）+100
=（-1）*49+100
=51

RELATED INFORMATIONS

1. Calculation of 9.9 * 101 with simple method
2. (-2000+5/6)+(-1999+2/3)+4000+2/3+(-1+1/2) Be in a hurry
3. (- 2000 5 / 6) + (- 1999 2 / 3) + (- 4000 2 / 3)
4. (- 2000 5 / 6) + (- 1999 2 / 3) + 4000 3 / 4 + (1 1 / 2) have process
5. Let u = {2,3, a ≠ 2a-3}, a = {| a + 1 |, a} CUA = {5}, find a Let u = {2,3, a ≠ 2a-3}, a = {a + 1}, 2}, CUA = {5}, find a
6. We know the complete set u = {2,3, a & sup2; + 2a-3}, a = {| a + 7 |, 2}, CUA = {5}, how to find the value of a? Given the complete set u = {2,3, a & sup2; + 2a-3}, a = {a + 7}, 2}, CUA = {5}, find the value of a? It will be added~~~~~~~~~~~~~~~~~~~~ How does a & sup2; + 2a-3 = 5 come from? At the end of the elimination, there is only a & sup2; + 2a-3 left. How can it be equal to 5??? How did you get it??? It's urgent! 】 But two and three are already five A & sup2; + 2a-3 should be zero
7. What's the difference between quadratic root and square root?
8. On the problem of quadratic equation of one variable 1. The univariate quadratic equation (a + C) x ^ 2 + BX - (2c-a) = 0 The sum of the two roots is - 1, and the difference is 1 (1) Find the two roots of this equation; (2) find the value of a: B: C PS: "x ^ 2" means the square of X, the same below 2. It is known that the quadratic equation AX ^ 2 + BX + C = 0 about X. A misinterprets the quadratic coefficients and obtains two of them as 1 and 4 by mistake. B misinterprets the symbols of the coefficient of the first term and the constant term and obtains two of them as - 2 and 6 by mistake and requests the original equation Thank you very much. It's better to have a process, but you can give me some ideas,
9. The second radical is () In the following radical, the second radical is () A. Root 24 B. root 12 C. root 3 / 2 d. root 18
10. Simple calculation of 1 / 6 + 8 / 15 + 3 / 28-2 / 35-7 / 44
11. What is 1 + 3 + 5 +. + 99
12. How much is 1 × 3 / 1 plus 3 × 5 / 1 plus 97 × 99 / 1 fast
13. What is 1 / (1 * 3) + 1 / (3 * 5) + 1 / (5 * 7) + --- 1 / (97 * 99)?
14. Formula 1-2 + 3-4 + 5-6 + +Is the result of 1999-2000 + 2001-2002 odd or even
15. 7 + 9 + 11 +. + 1999 + 2001 + 2003 + 2005 how to plan and calculate there is also a mention 1002-992 + 982-972 + 962-952 +... + 42-32 + 22-12
16. 1+2+3+、、、、、、、、、、、、、、、、、+99+1000+1001
17. Compare 1-1 / 2 + 1 / 3-1 / 4 +1 / 1997-1 / 1998 + 1 / 1991 and 1 / 1000 + 1 / 1001 + +The size of 1 / 1998 + 1 / 1999
18. How to calculate (- 1) + (- 2) + (- 3) +... + (- 99) + (- 100)
19. 1 / 1 * 2 + 1 / 2 * 3 + 1 / 3 * 4 + ·· + 1 / 1000 * 1001
20. Calculation (1 + 1 / 2) * (1-1 / 3) * (1 + 1 / 4) * (1-1 / 5) *. * (1 + 1 / 1000) * (1-1 / 1001)