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What is the correct way to express 0.000345 in scientific notation with signific

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Question: What is the correct way to express 0.000345 in scientific notation with significant figures?

Options:

  1. 3.45 x 10^-4
  2. 3.450 x 10^-4
  3. 3.4500 x 10^-4
  4. 3.4 x 10^-4

Correct Answer: 3.45 x 10^-4

Solution: 

In scientific notation, all digits in the coefficient are significant. Therefore, 0.000345 is expressed as 3.45 x 10^-4, which has 3 significant figures.

What is the correct way to express 0.000345 in scientific notation with signific

Practice Questions

Q1
What is the correct way to express 0.000345 in scientific notation with significant figures?
  1. 3.45 x 10^-4
  2. 3.450 x 10^-4
  3. 3.4500 x 10^-4
  4. 3.4 x 10^-4

Questions & Step-by-Step Solutions

What is the correct way to express 0.000345 in scientific notation with significant figures?
  • Step 1: Identify the number you want to convert, which is 0.000345.
  • Step 2: Move the decimal point to the right until you have a number between 1 and 10. For 0.000345, move the decimal 4 places to the right to get 3.45.
  • Step 3: Count how many places you moved the decimal. In this case, you moved it 4 places.
  • Step 4: Write the number in the form of 'a x 10^b', where 'a' is the number you found (3.45) and 'b' is the negative of how many places you moved the decimal (which is -4).
  • Step 5: Combine these to write the scientific notation: 3.45 x 10^-4.
  • Step 6: Count the significant figures in the original number (0.000345). The digits 3, 4, and 5 are significant, giving us 3 significant figures.
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