Rewrite this number in appropriate scientific notation: 0.00458

To rewrite the number 0.00458 in scientific notation, we move the decimal point three places to the right, which gives us 4.58. Since we moved the decimal point three places, we represent this shift with a negative exponent based on 10. Therefore, the number in scientific notation is \(4.58 \times 10^{-3}\). Here’s a fun tip: Scientific notation is like packing a suitcase for a trip! You want to fit all your essentials (the significant figures) neatly into your bag (the power of ten), but if you stuff too much in, your suitcase (the number) gets unwieldy! To practice, try converting other small numbers using the same method. Take 0.00076 and express it in scientific notation! Remember to keep it neat and tidy!