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What is the product of 3.00 and 2.5, considering significant figures?

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Question: What is the product of 3.00 and 2.5, considering significant figures?

Options:

  1. 7.5
  2. 7.50
  3. 7.500
  4. 7.55

Correct Answer: 7.5

Solution:

In multiplication, the result should have the same number of significant figures as the factor with the least significant figures. 3.00 has 3 significant figures and 2.5 has 2 significant figures, so the result should have 2 significant figures: 7.5.

What is the product of 3.00 and 2.5, considering significant figures?

Practice Questions

Q1
What is the product of 3.00 and 2.5, considering significant figures?
  1. 7.5
  2. 7.50
  3. 7.500
  4. 7.55

Questions & Step-by-Step Solutions

What is the product of 3.00 and 2.5, considering significant figures?
  • Step 1: Identify the numbers you are multiplying: 3.00 and 2.5.
  • Step 2: Count the significant figures in each number.
  • Step 3: 3.00 has 3 significant figures.
  • Step 4: 2.5 has 2 significant figures.
  • Step 5: Determine which number has the least significant figures. Here, 2.5 has the least with 2 significant figures.
  • Step 6: Multiply the two numbers: 3.00 * 2.5 = 7.50.
  • Step 7: Adjust the result to have the same number of significant figures as the number with the least. Since 2.5 has 2 significant figures, round 7.50 to 7.5.
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