Final answer:
The 2-digit positive integers with consecutive tens and ones digits are 12, 23, 34, 45, 56, 67, 78, 89, 21, 32, 43, 54, 65, 76, 87, and 98.
Step-by-step explanation:
The question asks us to list all 2-digit positive integers where the tens and ones digits are consecutive numbers. Consecutive numbers are numbers that follow each other in order, without any gaps. In the context of a 2-digit number, this means that the ones digit is either one less or one more than the tens digit.
Therefore, the integers that satisfy this condition are:
- 12, 23, 34, 45, 56, 67, 78, and 89 (where the ones digit is one more than the tens digit)
- 21, 32, 43, 54, 65, 76, 87, and 98 (where the ones digit is one less than the tens digit)
These are all the 2-digit numbers with consecutive digits in their tens and ones place.