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Which of the following numbers has the most significant figures?

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Question: Which of the following numbers has the most significant figures?

Options:

  1. 0.00789
  2. 7890
  3. 7.890 x 10^3
  4. 0.07890

Correct Answer: 7.890 x 10^3

Solution: 

7.890 x 10^3 has 4 significant figures, while the others have 3, 3, and 4 respectively, but the leading zeros in the first and last options do not count.

Which of the following numbers has the most significant figures?

Practice Questions

Q1
Which of the following numbers has the most significant figures?
  1. 0.00789
  2. 7890
  3. 7.890 x 10^3
  4. 0.07890

Questions & Step-by-Step Solutions

Which of the following numbers has the most significant figures?
Correct Answer: 7.890 x 10^3
  • Step 1: Understand what significant figures are. Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal part.
  • Step 2: Look at each number given in the question. Identify the digits in each number and count the significant figures.
  • Step 3: For the number 7.890 x 10^3, count the digits: 7, 8, 9, and 0. This gives us 4 significant figures.
  • Step 4: For the other numbers, count their significant figures as well. If a number has leading zeros (zeros before the first non-zero digit), do not count those.
  • Step 5: Compare the counts of significant figures from all the numbers. Identify which number has the highest count.
  • Step 6: Conclude which number has the most significant figures based on your counts.
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