My Learning Cart
?
Categories
Account

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

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: What is the result of multiplying 6.02 x 10^23 by 3.0, considering significant figures?

Options:

  1. 1.8 x 10^24
  2. 1.806 x 10^24
  3. 1.80 x 10^24
  4. 1.8060 x 10^24

Correct Answer: 1.8 x 10^24

Solution: 

In multiplication, the result should have the same number of significant figures as the factor with the least significant figures. 6.02 x 10^23 has 3 significant figures and 3.0 has 2, so the answer should be 1.8 x 10^24.

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.
No concepts available.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks