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

Question

0.005 - 0.0007

make it more clear.

Answer 1

To solve the subtraction \(0.005 - 0.0007\), follow these steps:

Step 1: Perform the Calculation

1. Line up the numbers by their decimal points for easier subtraction:

     0.0050   (adding an extra zero for clarity)
   - 0.0007
   ___________
   

2. Perform the subtraction: \[ 0.0050 - 0.0007 = 0.0043 \]

Step 2: Identify Significant Digits

1. Significant Figures in Each Number:

   • 0.005: The significant digits are '5', so it has 1 significant digit.
   • 0.0007: The significant digit is '7', so it has 1 significant digit.

2. Determining Significant Figures for the Result: When performing subtraction, the result should be reported to the least number of decimal places from the original numbers. Here, both numbers have 3 decimal places (i.e., the digit furthest to the right in the number of meaningful digits).

Step 3: Report the Answer

1. Calculator Answer: \[ 0.0043 \]

2. Significant Digits in Answer:

   • The result \(0.0043\) has 2 significant digits (the '4' and '3').

3. Final Result with Significant Digits:

   • Therefore, the answer is: \[ \text{Final Answer: } 0.0043 \text{ (2 significant digits)} \]

Summary

• Calculation: \(0.005 - 0.0007 = 0.0043\)
• Significant Digits in the Final Result: 2 significant digits.
• Final Answer: \(0.0043\) with 2 significant digits.