Sure! Let's break down the calculation \(9.0 \div 3.0\) step by step, identifying the calculator answer, the significant digits, and the number of significant digits.
Step 1: Perform the Calculation
Using a calculator, we calculate:
\[ 9.0 \div 3.0 = 3.0 \]
Step 2: Significant Digits
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Identify the Significant Figures of Each Number:
- The number \(9.0\) has 2 significant digits (the "9" and the decimal "0").
- The number \(3.0\) has 2 significant digits (the "3" and the decimal "0").
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Rules for Significant Figures in Division:
- In division, the result should be reported with the same number of significant figures as the measurement with the least significant figures.
- Here, both \(9.0\) and \(3.0\) have 2 significant digits.
Step 3: Round the Result
Since both initial values have 2 significant digits, we ensure our answer also has 2 significant digits.
\[ \text{Final Result} = 3.0 \]
Summary
- Calculator Answer: \(3.0\)
- Significant Digits Answer: \(3.0\)
- Number of Significant Digits: 2
So, when dividing \(9.0\) by \(3.0\), the final answer is \(3.0\), adhering to the significant digits rule based on the input numbers.