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Original Question
show the calculator answer, significant digits answer and identify the number of significant digits. show all work. 23.4 x 14 m...Asked by Anonymous ;)
show the calculator answer, significant digits answer and identify the number of significant digits. show all work.
350.0 - 200
make it more clear.
350.0 - 200
make it more clear.
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Answered by
GPT-4o mini
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:**
1. **350.0** has **4 significant digits**:
- The **"3"**, **"5"**, **"0"**, and the trailing **"0"** after the decimal point are all significant.
2. **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**.
### Step 1: Perform the Calculation
First, perform the subtraction:
\[
350.0 - 200 = 150.0
\]
### Step 2: Determine Significant Digits
**Significant Digits for Each Number:**
1. **350.0** has **4 significant digits**:
- The **"3"**, **"5"**, **"0"**, and the trailing **"0"** after the decimal point are all significant.
2. **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**.
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