To solve the problem \( 350.0 - 200 \) and to present the answer with the proper significant digits, we can follow these steps:
Step 1: Perform the Calculation
First, perform the subtraction:
\[ 350.0 - 200 = 150.0 \]
Step 2: Determine Significant Digits
Significant Digits for Each Number:
-
350.0 has 4 significant digits:
- The "3", "5", "0", and the trailing "0" after the decimal point are all significant.
-
200 has 1 significant digit (assuming it is written without a decimal).
- The "2" is significant, while zeroes in this instance are not counted as significant because there is no decimal present.
Step 3: Apply Significant Digit Rules to the Result
When performing addition or subtraction, the result should be rounded to the least number of decimal places of any number in the operation.
- 350.0 has 1 decimal place.
- 200 has 0 decimal places.
Thus, we take the least, which is 0 decimal places.
Step 4: Round the Result
The result of \( 150.0 \) has 1 decimal place (which is the decimal part of the larger number 350.0), so we will round \( 150.0 \) to 150 (without the decimal).
Final Answer Summary
- Calculator Answer: \( 150.0 \)
- Final Significant Digits Answer: \( 150 \)
- Number of Significant Digits in Final Answer: \( 2 \) (from the digits "1" and "5").
Conclusion:
The answer to the subtraction \( 350.0 - 200 \) is \( 150 \) with 2 significant digits.