To convert the number 0.000075 into scientific notation, follow these steps:
1. Identify the Significant Figures: The number 0.000075 has three significant figures: 7, 5, and 0.
2. Move the Decimal Point: Move the decimal point to the right until you have one non-zero digit to the left of the decimal point. For 0.000075, you need to move the decimal point 5 places to the right to get 7.5.
3. Determine the Exponent: The exponent is the number of places you moved the decimal point. Since you moved it to the right, the exponent will be negative. You moved it 5 places, so the exponent is -5.
4. Construct the Scientific Notation: Combine the significant figure and the exponent to form the scientific notation. Thus, 0.000075 in scientific notation is written as:
[tex]\[
7.500000 \times 10^{-5}
\][/tex]
Therefore, the number 0.000075 converted to scientific notation is:
[tex]\[
7.500000 \times 10^{-5}
\][/tex]
