What is the correct way to express 0.000450 in scientific notation with signific

Practice Questions

Q1
What is the correct way to express 0.000450 in scientific notation with significant figures?
  1. 4.5 x 10^-4
  2. 4.50 x 10^-4
  3. 0.45 x 10^-3
  4. 4.500 x 10^-4

Questions & Step-by-Step Solutions

What is the correct way to express 0.000450 in scientific notation with significant figures?
  • Step 1: Identify the significant figures in the number 0.000450. The significant figures are 4, 5, and the trailing 0 after 5, which gives us a total of three significant figures.
  • Step 2: Move the decimal point in 0.000450 to the right until you have a number between 1 and 10. This gives us 4.50.
  • Step 3: Count how many places you moved the decimal point. In this case, we moved it 4 places to the right.
  • Step 4: Write the number in scientific notation. Since we moved the decimal to the right, we use a negative exponent. This gives us 4.50 x 10^-4.
  • Step 5: Ensure that the number of significant figures is maintained. We have 4.50, which has three significant figures.
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