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Answer :
To solve the calculation [tex]\(433.864 - 333.9\)[/tex] and determine the correct number of significant digits, let's follow these steps:
1. Identify the Precision of the Numbers:
- The number 433.864 has six significant figures.
- The number 333.9 has four significant figures, with one decimal place.
2. Perform the Subtraction:
- When subtracting, the result should be rounded to the least number of decimal places of any number in the operation. Here, 333.9 has only one decimal place.
3. Calculate the Result:
- Subtracting gives us a result of [tex]\(99.964.\)[/tex]
4. Round the Result:
- We need to round 99.964 to one decimal place because the number with the least precision (333.9) determines this.
- Rounding 99.964 to one decimal place gives us 100.0.
5. Determine the Correct Answer:
- Based on the options provided, the correct answer is 100.0, rounded to one decimal place, maintaining the significant digits from 333.9.
Therefore, the answer with the correct number of significant digits is 100.0.
1. Identify the Precision of the Numbers:
- The number 433.864 has six significant figures.
- The number 333.9 has four significant figures, with one decimal place.
2. Perform the Subtraction:
- When subtracting, the result should be rounded to the least number of decimal places of any number in the operation. Here, 333.9 has only one decimal place.
3. Calculate the Result:
- Subtracting gives us a result of [tex]\(99.964.\)[/tex]
4. Round the Result:
- We need to round 99.964 to one decimal place because the number with the least precision (333.9) determines this.
- Rounding 99.964 to one decimal place gives us 100.0.
5. Determine the Correct Answer:
- Based on the options provided, the correct answer is 100.0, rounded to one decimal place, maintaining the significant digits from 333.9.
Therefore, the answer with the correct number of significant digits is 100.0.
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