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What is the correct way to express 0.0001234 in scientific notation with signifi

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Question: What is the correct way to express 0.0001234 in scientific notation with significant figures?

Options:

  1. 1.234 x 10^-4
  2. 1.23 x 10^-4
  3. 1.2340 x 10^-4
  4. 1.2 x 10^-4

Correct Answer: 1.234 x 10^-4

Solution: 

In scientific notation, all non-zero digits are significant. Therefore, 0.0001234 can be expressed as 1.234 x 10^-4, maintaining all significant figures.

What is the correct way to express 0.0001234 in scientific notation with signifi

Practice Questions

Q1
What is the correct way to express 0.0001234 in scientific notation with significant figures?
  1. 1.234 x 10^-4
  2. 1.23 x 10^-4
  3. 1.2340 x 10^-4
  4. 1.2 x 10^-4

Questions & Step-by-Step Solutions

What is the correct way to express 0.0001234 in scientific notation with significant figures?
Correct Answer: 1.234 x 10^-4
  • Step 1: Identify the number you want to convert, which is 0.0001234.
  • Step 2: Move the decimal point to the right until you have a number between 1 and 10. For 0.0001234, move the decimal 4 places to the right to get 1.234.
  • Step 3: Count how many places you moved the decimal. In this case, you moved it 4 places.
  • Step 4: Since you moved the decimal to the right, you will use a negative exponent. Write it as 1.234 x 10^-4.
  • Step 5: Check the significant figures. All non-zero digits (1, 2, 3, 4) are significant, so you keep them all.
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