Question

How do you write 0.000559 in scientific notation?

Answer 1

`5.59*10^-4`

Explanation:

You just move your decimal. Then, count how far you've placed it.
Remeber that if you are moving to the `->` right it is simply in `*10^-10` But, when moving to the `larr` left it is `*10^10`

Just note that if the power of 10 is (-) negative, it is a small quantity. However, if the power is (+) positive, of course, it is a large quantity.

Answer 2

`5.59 xx 10^-4`

Explanation:

Scientific notation is a way of writing very big or very small numbers quickly and accurately without having to use a string of zeros.

It indicates how many times a number has been multiplied or divided by `10`

It is written in the form `a xx 10^n` where `1 <= a < 10 and n in Z`

This means that the number must have one (non-zero) digit before the decimal point (it is between `1 and 10` ) and the index must be an integer.

Move the decimal point so there is one digit to the left of it.
Count the number of places it moved,

`0color(blue)(.0005)59 rarr 5.59 xx 10^color(blue)(-4)`

You can also find this using fractions:

`0.000559 = 5.59/10000 =5.59/10^4`

Using a law of indices this gives `5.59 xx 10^-4`