Question

multiply or divide the following measurements. be sure each answer you enter contains the correct number of significant digits.
580.3 g ÷ 0.74 ml = □ g/ml
480.28 g ÷ 65.624 ml = □ g/ml
20.9 cm × 45. cm = □ cm²

Explanation:

Step1: Calculate \(580.3\div0.74\)

$$580.3\div0.74 = 784.189189\cdots$$
The least number of significant digits in the given values (\(580.3\) has 4, \(0.74\) has 2) is 2. So, round to 2 significant digits: \(784.189189\cdots\approx7.8\times10^{2}\)

Step2: Calculate \(480.28\div65.624\)

$$480.28\div65.624 = 7.3183\cdots$$
The least number of significant digits in the given values (\(480.28\) has 5, \(65.624\) has 5) is 5. So, round to 5 significant digits: \(7.3183\)

Step3: Calculate \(20.9\times45\)

$$20.9\times45=940.5$$
The least number of significant digits in the given values (\(20.9\) has 3, \(45\) has 2) is 2. So, round to 2 significant digits: \(940.5\approx9.4\times10^{2}\)

Answer:

\(7.8\times10^{2}\frac{\text{g}}{\text{mL}}\), \(7.3183\frac{\text{g}}{\text{mL}}\), \(9.4\times 10^{2}\text{cm}^{2}\)