Write \( \frac{1}{3} \) as a decimal. (Round to the nearest thousandth)
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When you divide 1 by 3, you get a repeating decimal: 0.3333... To round it to the nearest thousandth, you take the first three decimal places, which are 333, and since the fourth digit (the next one) is also 3, it doesn't round up. Thus, \( \frac{1}{3} \) as a decimal rounded to the nearest thousandth is 0.333. Did you know that the fraction \( \frac{1}{3} \) is not just a number? It has fascinating properties in different contexts! In mathematics, it represents a third of a whole and is commonly used in everything from dividing pizza slices to calculating probabilities in dice games. Explore how fractions like this one pop up in everyday scenarios! Rounding decimals can be tricky, but a fun tip is to always look at the digit right after the place you're rounding to. If that digit is 5 or higher, you round up; if it's 4 or lower, you stick with your current number. Common mistakes often happen when people forget to check that digit carefully! So, keep your eyes peeled and you'll ace rounding like a pro!