Question

The very small number 0.0000000567 is written as _______________________ in scientific notation.

Answer 1

please help me

Answer 2

Move the decimal until you get to a singular whole number, then you take how many times you moved and put it \(\times 10^{moved}\)

\(0.0000000567\)

Look at how many zeros you have between the decimal (.) and the first whole number (5), there is 7 zeros, so you would add 1 to put it into scientific notation. (\(10^8\))

Now, you were moving your decimal to the right, which makes the notation a negative, not a positive. (\(10^{-8}\))
(If you were moving it to the left, it would be positive, or in this case, \(10^8\).

Now, after moving the decimal and getting your whole number (5.67), you can add your notation to the end of it and you'll have your scientific notation. (\(5.67 \times 10^{-8}\))

Answer 3

Scientific notation is a method of representing extremely large or small numbers in a shorter and more consistent way. It involves expressing a number between 1 and 10, multiplied by a power of 10 that indicates the number of places the decimal point has been shifted to obtain the original number. In the case of the number 0.0000000567, it can be written in scientific notation as 5.67 x 10^-8. The coefficient, 5.67, is a number between 1 and 10, and when multiplied by 10 raised to the power of -8, it gives the original number 0.0000000567.