What is the result of multiplying 6.02 x 10^23 by 3.0, considering significant f

Practice Questions

Q1
What is the result of multiplying 6.02 x 10^23 by 3.0, considering significant figures?
  1. 1.8 x 10^24
  2. 1.806 x 10^24
  3. 1.80 x 10^24
  4. 1.8060 x 10^24

Questions & Step-by-Step Solutions

What is the result of multiplying 6.02 x 10^23 by 3.0, considering significant figures?
  • Step 1: Identify the numbers to multiply: 6.02 x 10^23 and 3.0.
  • Step 2: Count the significant figures in each number.
  • Step 3: 6.02 x 10^23 has 3 significant figures.
  • Step 4: 3.0 has 2 significant figures.
  • Step 5: Determine which number has the least significant figures. Here, 3.0 has the least with 2 significant figures.
  • Step 6: Multiply the numbers: 6.02 x 10^23 * 3.0 = 18.06 x 10^23.
  • Step 7: Adjust the result to have the same number of significant figures as the factor with the least significant figures (2).
  • Step 8: Round 18.06 to 1.8 to keep 2 significant figures.
  • Step 9: Write the final answer in scientific notation: 1.8 x 10^24.
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