5. Error Analysis Each sandwich uses \( 3 \frac{7}{8} \) ounces of turkey. There is enough turkey for \( 4 \frac{1}{2} \) sandwiches. You estimate that there is about 16 ounces of turkey. Your friend estimates the weight to be about 12 ounces. Which estimate is better? Explain.

To determine which estimate is better, let’s calculate the total amount of turkey needed for the sandwiches. First, convert \( 3 \frac{7}{8} \) ounces of turkey into an improper fraction, which is \( \frac{31}{8} \) ounces. For \( 4 \frac{1}{2} \) sandwiches, that converts to \( \frac{9}{2} \) sandwiches. Thus, the total turkey needed is: \[ \frac{31}{8} \times \frac{9}{2} = \frac{31 \times 9}{16} = \frac{279}{16} \approx 17.4375 \text{ ounces.} \] Since 17.4375 ounces is closer to your estimate of 16 ounces than your friend's estimate of 12 ounces, your estimate is indeed the better one! To avoid similar errors, ensure to double-check your calculations, especially when converting mixed numbers to improper fractions. Also, practice estimating quantities more precisely by rounding up or down based on the context, as this can help in making more accurate predictions.