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The tutorial explains the concept of place value using base 10 blocks. It demonstrates that stacking 10 ones makes a 10, 10 tens make a hundred, and 10 hundreds make a thousand. The expanded form of numbers is illustrated through examples like 524 being represented as 500 + 20 + 4. This pattern continues with larger numbers as well, such as 987 as 900 + 80 + 7. The tutorial emphasizes the endless pattern of base 10 representing increasing values.