or each measurement, find the number of significant digits. \( \begin{array}{ll}\text { 4. } 800 \mathrm{~kg} & 5.20 .0594 \mathrm{~km}\end{array} \)

To determine the number of significant digits in each measurement, we follow the rules for identifying significant figures: 1. All non-zero digits are significant. 2. Any zeros between significant digits are significant. 3. Leading zeros (zeros to the left of the first non-zero digit) are not significant. 4. Trailing zeros in a decimal number are significant. Now, let's analyze each measurement: 1. **4.800 kg**: - The digits are 4, 8, 0, 0. - The leading digit (4) is significant. - The digit (8) is significant. - The zeros (0, 0) after the decimal point and after a non-zero digit (8) are significant. - Therefore, the total number of significant digits is **4**. 2. **5.20 .0594 km**: - The digits are 5, 2, 0, 0, 5, 9, 4. - The leading digit (5) is significant. - The digit (2) is significant. - The zero (0) between 5 and 2 is significant. - The leading zeros (0.0594) are not significant. - The digits (5, 9, 4) are significant. - Therefore, the total number of significant digits is **4** (from 5.20) + **3** (from 0.0594) = **7**. In summary: - **4.800 kg** has **4 significant digits**. - **5.20 .0594 km** has **7 significant digits**.