Converting Scientific Notation to Decimal Form
The expression in the image shows a number written in scientific notation: \(4.2 \times 10^{-5}\).
To solve this expression (or to write it in standard decimal form), you simply have to move the decimal point 5 places to the left, since the exponent on the 10 is -5. When you move the decimal point to the left, you add zeroes as placeholders if needed.
Here's how to do that step by step:
4.2
→ 0.42 (1 place)
→ 0.042 (2 places)
→ 0.0042 (3 places)
→ 0.00042 (4 places)
→ 0.000042 (5 places)
So, \(4.2 \times 10^{-5}\) is equal to 0.000042 in standard decimal form.