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\( 1 \leftarrow \) 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 \( \frac{10}{100} \).

Ask by Vega Reeves. in the United States
Feb 18,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Vanessa's answer is incorrect because she only provided one decimal equivalent when there are two fractions.

Solution

To determine why Vanessa's answer is incorrect, let's analyze the fractions she identified and their decimal equivalents. 1. **Understanding the Fractions:** - The fraction \( \frac{10}{100} \) simplifies to \( 0.10 \) in decimal form. - The fraction \( \frac{1}{10} \) simplifies to \( 0.1 \) in decimal form. 2. **Evaluating the Answer Choices:** - **A.** She doesn't need to write the zero at the end of .010. - This statement is true because \( 0.010 \) is equivalent to \( 0.01 \) and \( 0.1 \). However, it does not directly address why her answer is incorrect. - **B.** She only lists one decimal equivalency, but there are two fractions. - This statement suggests that she should provide both decimal equivalents. If she only provided one, this could be a reason for her incorrectness. - **C.** She has too many decimal places. - This could be true if she wrote \( 0.010 \) instead of \( 0.1 \) or \( 0.10 \), but it does not directly indicate the nature of her mistake. - **D.** Her answer would equal \( \frac{1}{100} \) as a fraction, not \( \frac{10}{100} \). - This statement is incorrect because \( 0.10 \) does not equal \( \frac{1}{100} \); it equals \( \frac{10}{100} \). 3. **Conclusion:** - The most relevant answer is **B**, as it highlights that she should have provided both decimal equivalents for the two fractions she identified. If she only provided one, that would indeed be an error. Thus, the correct answer is **B. She only lists one decimal equivalency, but there are two fractions.**

Answered by UpStudy AI and reviewed by a Professional Tutor

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Mind Expander

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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