Question
Teresa and Scott are trying to estimate this product. \( 6 \times 459 \) Answer the questions below. \begin{tabular}{l} (a) Teresa estimates this product by computing \( 6 \times 400 \). \\ What is her estimate? \\ \( 6 \times 400=\square \) \\ (b) Scott estimates this product by computing \( 6 \times 500 \). \\ What is his estimate? \\ \( 6 \times 500=\square \) \\ (c) Whose estimate is closer to \( 6 \times 459 \) ? \\ Teresa's estimate is closer \\ Scott's estimate is closer \\ Their estimates are equally close \\ \hline\end{tabular}
Ask by Greene Chen. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
(a) Teresa’s estimate: 2400
(b) Scott’s estimate: 3000
(c) Scott’s estimate is closer
Solution
(a) Teresa’s estimate: 6 × 400 = 2400
(b) Scott’s estimate: 6 × 500 = 3000
(c) The actual product is 6 × 459 = 2754. The difference using Teresa’s estimate is |2754 – 2400| = 354, and using Scott’s estimate is |2754 – 3000| = 246. Since 246 is less than 354, Scott’s estimate is closer.
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Simplify this solution Beyond the Answer
Let’s break this down: (a) Teresa calculates \( 6 \times 400 \). So her estimate is: \( 6 \times 400 = 2400 \). (b) Scott calculates \( 6 \times 500 \). Therefore, his estimate is: \( 6 \times 500 = 3000 \). (c) Now, we need to see which estimate is closer to \( 6 \times 459 \). Calculating \( 6 \times 459 \) gives us \( 2754 \). Now let's find the differences: - Teresa's estimate: \( |2400 - 2754| = 354 \) - Scott's estimate: \( |3000 - 2754| = 246 \) Since \( 246 < 354 \), Scott's estimate is closer. So, the answer is: **Scott's estimate is closer.**
