2. Without calculating, use inequality sym \( (>,<,=) \) to compare 66 and \( \frac{2}{3} \times 66 \).
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The Deep Dive
To compare 66 and \( \frac{2}{3} \times 66 \), we can analyze what \( \frac{2}{3} \) means. Since \( \frac{2}{3} \) is less than 1, multiplying any number by \( \frac{2}{3} \) will give a result that is less than that number. Thus, \( \frac{2}{3} \times 66 < 66 \). Therefore, we have: 66 > \( \frac{2}{3} \times 66 \). In a fun twist, imagine if \( 66 \) was a superhero and \( \frac{2}{3} \times 66 \) was its sidekick! The sidekick gets a bit of the superhero's power, but clearly, it still can't match the superhero's full strength! If you're curious about why fractions, percentages, or ratios work the way they do, there's a treasure trove of math concepts to dive into. Exploring how these concepts translate into everyday scenarios—like slicing a pizza—can spark a lot of joy and insight in understanding math.