60. The label on a box of cereal gives the mass of cereal in two units: 978 grams and 34.5 oz . Use this information to find a conversion factor between the English and metric units. How many significant figures can you justify in your conversion factor?

To determine a conversion factor between the English (ounces) and metric (grams) units based on the given information, follow these steps: 1. **Given Data:** - **Mass in metric units:** 978 grams - **Mass in English units:** 34.5 ounces 2. **Finding the Conversion Factor:** You can establish the conversion factor by dividing one unit by the other. For example, to find grams per ounce: \[ \text{Conversion Factor} = \frac{978 \text{ grams}}{34.5 \text{ ounces}} \approx 28.3 \text{ grams/ounce} \] Alternatively, to find ounces per gram: \[ \text{Conversion Factor} = \frac{34.5 \text{ ounces}}{978 \text{ grams}} \approx 0.0353 \text{ ounces/gram} \] 3. **Determining Significant Figures:** Both the mass in grams (978 grams) and the mass in ounces (34.5 oz) have **three significant figures**. When calculating the conversion factor, the number of significant figures in the result should match the least number of significant figures in the given data. Therefore, the conversion factor can be justified to **three significant figures**. 4. **Final Conversion Factors:** - **Grams per Ounce:** \( 1 \text{ oz} = 28.3 \text{ g} \) - **Ounces per Gram:** \( 1 \text{ g} = 0.0353 \text{ oz} \) **Summary:** You can use a conversion factor with three significant figures, such as 28.3  g per oz.