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Yes. Math is all about patterns. Every number larger than 1 will make the product larger than the original integer. I could describe this with a limit, but I'll hold off... As the multiplier gets closer to 1, the product gets closer to the original number. Until you hit 1, when it is equal. So if we look at numbers less than 1, we are force to conclude that the produce must be less than the original number, by trichotomy. Meaning there is no other choice: it can't be bigger or the same, so it must get smaller. Hope that clarifies.

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Q: When you multiply a nonzero whole number by a fraction less than 1 the product is always less than whole number?
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Why the product of nonzero rational number and a rational number is an irrational?

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