Joshua is trying to find the product of 38 × 12. Which expression shows how Joshua could use place value to break up this problem and solve it?

(32+6)×(10+2)

(30+8)×(11+1)

(30+8)×(10+2)

(31+7)×(11+1)

1 answer

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)