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George wrote a division expression 2 divided by 5. Can George’s expression be expressed as a terminating decimal explain .

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Final answer:

George's division expression of 2 divided by 5 can be expressed as a terminating decimal because the denominator has 5 as its only prime factor, resulting in the terminating decimal 0.4.

Step-by-step explanation:

Whether George's division expression of 2 divided by 5 can be expressed as a terminating decimal is a question related to the nature of decimal expansions resulting from division. A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For a fraction in simplest form, if the denominator has prime factors that are only 2, 5, or a combination of 2 and 5, then the decimal representation of the fraction will terminate. Since 5 is the only prime factor of the denominator in George's expression (2/5), we can say that 2 divided by 5 can indeed be expressed as a terminating decimal, specifically, 0.4.

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