The product of 15 multiplied by 22 is 330. This can be calculated by multiplying the tens digits first (1 x 2 = 2) to get the tens place value, and then multiplying the ones digits (5 x 2 = 10) to get the ones place value. Combining these results (20 for the tens place and 10 for the ones place) gives us the final answer of 330.
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