Final answer:
There are 10 two-digit positive integers with a units digit that is equal to the product of its two digits.
Step-by-step explanation:
To find the two-digit positive integers with a units digit equal to the product of its two digits, we can go through each possibility. Let's consider the tens digit first. If the tens digit is 1, the units digit must be 1 as well, since the product of 1 and any other number is 1. So, we have the number 11. Similarly, if the tens digit is 2, the units digit must be 2, resulting in the number 22. We continue this pattern until the tens digit 9, giving us the numbers 99, 88, 77, 66, 55, 44, 33, and 22 as the possible two-digit integers with a units digit that is equal to the product of its two digits. Therefore, there are 10 such integers in total.
Learn more about Two-digit positive integers with a units digit equal to the product of its two digits