\( 1 \leftarrow \) In the video, Vanessa is shown a set of base-ten blocks and correctly identifies they represent \( \frac{10}{100} \) and \( \frac{1}{10} \). When asked to change these fractions to decimals, she answers incorrectly. Why is Vanessa's answer incorrect? A. She doesn't need to write the zero at the end of .010 . B. She only lists one decimal equivalency, but there are two fractions. C. She has too many decimal places. D. Her answer would equal \( \frac{1}{100} \) as a fraction, not \( \frac{10}{100} \).
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Vanessa's understanding of fractions is solid, but it seems she may have a little confusion when converting to decimals! The fraction \( \frac{10}{100} \) simplifies to \( 0.10 \) (or just \( 0.1 \) if you drop that trailing zero), while \( \frac{1}{10} \) converts neatly to \( 0.1 \). It's crucial to keep track of these conversions to avoid mixing them up, as each fraction has a distinct decimal representation. Let's break down those options! The correct choice here is \( D \) because if Vanessa misrepresents \( \frac{10}{100} \) with the decimal that equals \( \frac{1}{100} \) (like \( 0.01 \)), she'll not only lose the value of \( 10 \) in the numerator but also the context of the fraction itself. Precision is key in math!
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