What is an example of the Multiplicative Identity Property as it relates to decimal division?

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The Multiplicative Identity Property states that any number multiplied by 1 remains unchanged, highlighting the use of 1 as a factor. In the context of decimal division, this property can be illustrated by manipulating both the dividend and divisor so that their ratio remains the same while being represented in a way that emphasizes the use of 1.

In the chosen example, dividing 24.37 by 2.1 can equivalently be expressed as dividing 243.7 by 21. This transformation effectively multiplies both the numerator and the denominator by the same factor, specifically 10 in this case (since 2.1 becomes 21 when multiplied by 10, and 24.37 becomes 243.7 when multiplied by 10). Since the division expression remains equivalent due to the multiplication of both terms by the same non-zero number, this relates directly to the idea of maintaining the value while altering its form, thereby embodying the spirit of the Multiplicative Identity Property.

In contrast, the other options either do not demonstrate this property or focus on straightforward identities or calculations without reflecting the transformation that underlies the property. Thus, B is an appropriate example of the Multiplicative Identity Property in the context of decimal division.

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