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What is the result of dividing 100.0 by 4.00, considering significant figures?

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Question: What is the result of dividing 100.0 by 4.00, considering significant figures?

Options:

  1. 25.0
  2. 25
  3. 25.00
  4. 24.99

Correct Answer: 25.0

Solution: 

In division, the result should have the same number of significant figures as the measurement with the least significant figures. 100.0 has 4 significant figures and 4.00 has 3 significant figures, so the answer should be 25.0 with 3 significant figures.

What is the result of dividing 100.0 by 4.00, considering significant figures?

Practice Questions

Q1
What is the result of dividing 100.0 by 4.00, considering significant figures?
  1. 25.0
  2. 25
  3. 25.00
  4. 24.99

Questions & Step-by-Step Solutions

What is the result of dividing 100.0 by 4.00, considering significant figures?
  • Step 1: Identify the numbers to be divided: 100.0 and 4.00.
  • Step 2: Count the significant figures in each number.
  • Step 3: 100.0 has 4 significant figures (the decimal point indicates that the zero is significant).
  • Step 4: 4.00 has 3 significant figures (the two zeros after the decimal point are significant).
  • Step 5: Determine which number has the least significant figures. Here, 4.00 has the least with 3 significant figures.
  • Step 6: Perform the division: 100.0 divided by 4.00 equals 25.0.
  • Step 7: Adjust the result to have the same number of significant figures as the number with the least significant figures (3).
  • Step 8: The final answer is 25.0, which has 3 significant figures.
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