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\begin{tabular}{l} Select a counterexample to the statement. \\ The product of an integer and a decimal number will never be an integer. \\ Answer 2 Points \\ Prev \\ Keyboard Shortcut \\ R \( 8 \cdot 1.4=11.2 \) \\ \hline \( 2 \cdot 1.3=2.6 \) \\ \hline \( 2 \cdot 1.5=3 \)\end{tabular}

Ask by Salazar Zimmerman. in the United States
Feb 03,2025

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\( 2 \cdot 1.5 = 3 \) is a counterexample.

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Here’s a fun twist on exploring this mathematical statement! The statement claims that multiplying an integer by a decimal will never yield an integer, but consider \(2 \cdot 1.5 = 3\). Boom! That’s a counterexample, and it’s a whole number! Another classic example is \(3 \cdot 1.0 = 3\). In this case, multiplying by a decimal that represents a whole number (like 1.0) results in an integer! So don’t let that statement fool you! There are certainly instances where the product is, indeed, an integer!

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