show the calculator answer, significant digits answer and identify the number of significant digits. show all work.

Question

9.0 /3.0
make it more clear.

Answer 1

To solve the division $9.0÷3.0$ 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: $$9.0÷3.0=3.0$$

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: $$\text{Result}=3.0\text{(with 2 significant digits)}$$

Summary

• Calculator Answer: $3.0$
• Significant Digits Answer: $3.0$
• Number of Significant Digits: 2