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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
Certainly! Let's break down the subtraction problem \(350.0 - 200\) step by step, focusing on the calculator answer, significant digits, and identifying the number of significant digits.
### Step 1: Perform the calculation
**Calculator Answer:**
Using a standard calculator, you would input:
\[
350.0 - 200 = 150.0
\]
### Step 2: Analyze the significant digits
1. **Identify the number of significant digits in each number:**
- **350.0**: This number has **4 significant digits**. (The "0" after the decimal point indicates it is significant.)
- **200**: This number has **1 significant digit**, unless otherwise indicated (e.g., it could be written as 200. for 3 significant digits, but in this case it’s not).
2. **Significant digit rules in subtraction:**
- When subtracting, the result should be reported to the least number of decimal places of the numbers being subtracted.
- **350.0** has **1 decimal place**.
- **200** has **0 decimal places**.
### Step 3: Determine the significant digits in the result
Since \(350.0\) has 1 decimal place, the answer should be reported to 1 decimal place:
\[
150.0
\]
**Final Result:**
- **Calculator Answer**: \(150.0\)
- **Significant Digits Answer**: \(150.0\) (with 4 significant digits)
- **Number of Significant Digits in the Result**: 4 significant digits (same as the original number with the highest precision, which is \(350.0\)).
### Summary
1. **Calculation**: \(350.0 - 200 = 150.0\)
2. **Significant Digits**:
- \(350.0\): 4 significant digits
- \(200\): 1 significant digit
3. **Final Answer with Significant Digits**: \(150.0\) (means the result has 4 significant digits)
### Step 1: Perform the calculation
**Calculator Answer:**
Using a standard calculator, you would input:
\[
350.0 - 200 = 150.0
\]
### Step 2: Analyze the significant digits
1. **Identify the number of significant digits in each number:**
- **350.0**: This number has **4 significant digits**. (The "0" after the decimal point indicates it is significant.)
- **200**: This number has **1 significant digit**, unless otherwise indicated (e.g., it could be written as 200. for 3 significant digits, but in this case it’s not).
2. **Significant digit rules in subtraction:**
- When subtracting, the result should be reported to the least number of decimal places of the numbers being subtracted.
- **350.0** has **1 decimal place**.
- **200** has **0 decimal places**.
### Step 3: Determine the significant digits in the result
Since \(350.0\) has 1 decimal place, the answer should be reported to 1 decimal place:
\[
150.0
\]
**Final Result:**
- **Calculator Answer**: \(150.0\)
- **Significant Digits Answer**: \(150.0\) (with 4 significant digits)
- **Number of Significant Digits in the Result**: 4 significant digits (same as the original number with the highest precision, which is \(350.0\)).
### Summary
1. **Calculation**: \(350.0 - 200 = 150.0\)
2. **Significant Digits**:
- \(350.0\): 4 significant digits
- \(200\): 1 significant digit
3. **Final Answer with Significant Digits**: \(150.0\) (means the result has 4 significant digits)
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