Which of the following is the correct representation of 0.0004500 in scientific notation?
Practice Questions
1 question
Q1
Which of the following is the correct representation of 0.0004500 in scientific notation?
4.500 x 10^-4
4.5 x 10^-4
4.5000 x 10^-4
4.5 x 10^-5
In scientific notation, all non-zero digits and any trailing zeros after the decimal point are significant. Therefore, 0.0004500 is expressed as 4.500 x 10^-4.
Questions & Step-by-step Solutions
1 item
Q
Q: Which of the following is the correct representation of 0.0004500 in scientific notation?
Solution: In scientific notation, all non-zero digits and any trailing zeros after the decimal point are significant. Therefore, 0.0004500 is expressed as 4.500 x 10^-4.
Steps: 4
Step 1: Identify the significant digits in the number 0.0004500. The significant digits are 4, 5, and the two trailing zeros (00) after the 5.
Step 2: Move the decimal point to the right until you have a number between 1 and 10. For 0.0004500, move the decimal point 4 places to the right to get 4.500.
Step 3: Count how many places you moved the decimal point. Since we moved it 4 places to the right, we will use -4 in the scientific notation.
Step 4: Write the number in scientific notation format, which is the significant digits followed by 'x 10' and the exponent. This gives us 4.500 x 10^-4.
