Write \( 5.938 \times 10^{-3} \) in standard notation.

To convert \( 5.938 \times 10^{-3} \) into standard notation, you need to move the decimal point three places to the left because of the negative exponent. This gives you \( 0.005938 \). So, in standard notation, \( 5.938 \times 10^{-3} \) is written as \( 0.005938 \). Now you've got an exciting glimpse into scientific notation! It’s like having a superpower to handle really big or really small numbers easily. For example, \( 6.022 \times 10^{23} \) for Avogadro's number in chemistry! That’s a substantial number when counting particles, isn’t it? Don’t forget, while using scientific notation, it’s all about understanding how to shift that decimal point based on the exponent! A common mistake is moving the decimal in the wrong direction or misplacing zeros. Always double-check to ensure you’ve placed the decimal where it should be, it makes all the difference!