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

(32 + 6) x (10 + 2)
(30 + 8) x (10 + 2)
(30 + 8) x (11 + 1)
(31 + 7) x (11 + 1)

1 answer

To solve the product of 38 x 12 using place value, we can break down the numbers as follows:

  • 38 can be broken down into 30 and 8.
  • 12 can be broken down into 10 and 2.

Thus, the expression showing this breakdown would be:

(30 + 8) x (10 + 2).

So the correct answer is:

(30 + 8) x (10 + 2).