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In mathematics, the value of a decimal is determined by its place value. In the decimal 0.3, the 3 is in the tenths place, making it equal to 3/10 or 0.3. In the decimal 0.123, the 3 is in the thousandths place, making it smaller than 0.3. Therefore, 0.3 is larger than 0.123 because the digit in the tenths place has a greater value than the digit in the thousandths place.
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