Solve the following . observing significant figure rules 5.195kg+10.95kg+73.2kg square kg

To solve the problem while observing significant figure rules, we need to follow these steps:<br /><br />### Step 1: Identify the number of significant figures in each value<br />- \( 5.195 \, \text{kg} \): This has **4 significant figures**.<br />- \( 10.95 \, \text{kg} \): This has **4 significant figures**.<br />- \( 73.2 \, \text{kg} \): This has **3 significant figures**.<br /><br />### Step 2: Perform the addition<br />Add the values together:<br />\[<br />5.195 + 10.95 + 73.2 = 89.345 \, \text{kg}.<br />\]<br /><br />### Step 3: Apply the rule for significant figures in addition<br />When adding or subtracting, the result should be rounded to the least number of decimal places among the numbers being added. <br /><br />- \( 5.195 \, \text{kg} \) has 3 decimal places.<br />- \( 10.95 \, \text{kg} \) has 2 decimal places.<br />- \( 73.2 \, \text{kg} \) has 1 decimal place.<br /><br />The least number of decimal places is **1**, so the final answer must be rounded to **1 decimal place**.<br /><br />### Step 4: Round the result<br />\[<br />89.345 \, \text{kg} \rightarrow 89.3 \, \text{kg}.<br />\]<br /><br />### Final Answer:<br />\[<br />\boxed{89.3 \, \text{kg}}<br />\]