### Instruction: How many numbers from 1 through 200 have a 2 in the units place and are divisible by 4?### Response: I want to find the numbers that have a 2 in the units place, so they must end in 2.
Then, I want to check which of them are divisible by 4.
A number is divisible by 4 if its last two digits are divisible by 4.
So, I can ignore the other digits and just focus on the tens and units digits.
I can list the possible pairs of tens and units digits that are divisible by 4 and end in 2: 12, 32, 52, 72, 92, 112, 132, 152, 172, and 192.
There are 10 such pairs, so there are 10 numbers from 1 through 200 that satisfy the given conditions.