The analysis process is as follows:

Because 6+7= 13, if 7+ () is greater than 13, the number in brackets should be greater than 8. The smallest integer greater than 7 is 8.

Therefore, the smallest number in () can be 8.

Extended data

Comparison of integer sizes:

1, look at the number of digits first, and the number with more digits is larger.

For example, 100 is greater than 20, because 100 has 3 digits, while 20 has only 2 digits.

2. The digits are the same. Starting from the highest digit, the number in the same digit is larger.

For example, if 320 is greater than 3 10, the digits are the same, and the highest hundred digits are all 3, then we will look at the next ten digits. The decimal digit of 320 is 23 10, and the decimal digit of 320 is 1, 2 > 1, so 320 is greater than 3 10.