To find the product of 38 × 12 using place value, Joshua can break the numbers into their place values as follows:
38 can be broken down into 30 (the tens place) and 8 (the ones place). 12 can be broken down into 10 (the tens place) and 2 (the ones place).
This gives us the expression:
(30 + 8) × (10 + 2)
So the correct option is:
(30+8)×(10+2)