Ask a New Question
Menu

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

0.0945 - 1.47

make it more clear.

1 answer

To perform the calculation \(0.0945 - 1.47\) and to determine the significant figures, we follow these steps:

Step 1: Perform the Calculation

Using a calculator: \[ 0.0945 - 1.47 = -1.3755 \]

Step 2: Identify Significant Figures in Each Number

  • 0.0945 has 3 significant figures (the digits 9, 4, and 5 are significant; the leading zero is not).
  • 1.47 has 3 significant figures (the digits 1, 4, and 7 are all significant).

Step 3: Determine the Precision of the Numbers

When performing subtraction, the result should be reported with the same decimal place as the measurement with the least precise decimal place (not the number of significant figures).

  • 0.0945 extends to 4 decimal places.
  • 1.47 extends to 2 decimal places.

The least precise measurement is 1.47 with 2 decimal places.

Step 4: Round the Result According to the Least Precise Decimal Place

The result of the subtraction is \(-1.3755\). We need to round this to 2 decimal places:

  1. Look at the third decimal place (which is a 5 in this case).
  2. Since we round up because the third decimal is 5, we round \(-1.3755\) to \(-1.38\).

Final Answer

  1. Calculator Result: \(-1.3755\)
  2. Rounded Result (considering significant figures): \(-1.38\)
  3. Number of Significant Figures in Final Answer: 3 significant figures (the digits 1, 3, and 8).

Summary

  • The calculation result before rounding is \(-1.3755\).
  • The final answer, rounded to 2 decimal places (based on the precision of the least precise number), is \(-1.38\).
  • The final result has 3 significant figures.