Three calculation methods:

1, you can add it from 1 to 100, slowly calculate the accumulation, and finally you can get the result of 5050.

The second method is a little faster than the first one. It can be added from beginning to end, such as 0+ 100, 1+99, 2+98, 3+97 and so on. There are 50 100, and finally you can add a 50, and the result is 50.

3. The last one is the fastest method, because the number from 1 to 100 is arithmetic progression, and arithmetic progression's summation formula is n*(n+ 1)/2. Substituting n= 100 can calculate the result, and the calculation result is 5050.

Extended data:

Addition formula: the relationship between the parts of addition refers to the relationship between two addends and sum.

The most basic relationship is: addend+addend = sum, that is, sum = addend+addend.

Tolerance d = (an-a 1) ÷ (n- 1) (where n is greater than or equal to 2 and n is a positive integer).

Number of items = (from the last item to the first item) ÷ tolerance+1.

The last item = the first item+(item number-1) × tolerance.

The sum of the first n terms Sn = the first term ×n+ terms (number of terms-1) Tolerance /2.

The value of the nth term an = the first term+(number of terms-1) × tolerance.

Baidu Encyclopedia-Addition (Mathematical Term)

Baidu Encyclopedia-arithmetic progression Formula