To solve the division \(9.0 \div 3.0\) and express the results while considering significant digits, we will follow these steps:
Step 1: Calculator Answer
First, we calculate the division using a basic calculator: \[ 9.0 \div 3.0 = 3.0 \]
Step 2: Significant Digits
Now, let's analyze the significant figures in our numbers:
- The number \(9.0\) has 2 significant digits (the digit 9 and the trailing zero after the decimal point).
- The number \(3.0\) also has 2 significant digits (the digit 3 and the trailing zero after the decimal point).
Step 3: Determine Significant Digits in the Results
When performing division, the result should be reported with the same number of significant figures as the measurement that has the least number of significant figures. In this case, both \(9.0\) and \(3.0\) have 2 significant figures.
Final Result
Based on the above analysis, the result of our calculation, including the correct number of significant digits, is: \[ \text{Result} = 3.0 \quad \text{(with 2 significant digits)} \]
Summary
- Calculator Answer: \(3.0\)
- Significant Digits Answer: \(3.0\)
- Number of Significant Digits: 2