There are 13 positive two-digit whole numbers that are divisible by 7.
Let's break down how to find this answer:
The smallest two-digit number is 10, and the largest is 99. We want to find all numbers between 10 and 99 that can be divided evenly by 7. Here's a step-by-step approach:
- Find the first two-digit multiple of 7: The smallest multiple of 7 greater than 10 is 14 (7 x 2).
- Find the last two-digit multiple of 7: The largest multiple of 7 less than 100 is 98 (7 x 14).
- List the multiples: We are looking at the multiples of 7 from 7 x 2, 7 x 3, all the way up to 7 x 14, to find how many multiples are within the 10-99 range.
We can count them or think of this as an arithmetic sequence:
- The multiples of 7 in this range are: 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, and 98.
- We can calculate the number of terms by observing that the multiples start with 7 x 2 and end with 7 x 14. The number of multiples in this range is thus 14 - 2 + 1 = 13.
Therefore, based on the given reference, the answer is indeed 13.
