Question

How do you express `0.000564` in scientific notation?

Answer 1

`5.64xx10^-4`

Explanation:

A number expressed in `color(blue)"scientific notation"` has the form.

`color(red)(bar(ul(|color(white)(2/2)color(black)(axx10^n)color(white)(2/2)|)))`
`"where "1<=a<10" and n is an integer"`

Expressing 0.000564 in this form means writing the number as a value between 1 and 10

`rArr0.000564to5.64`

and to get the decimal point back to where it should be means moving it 4 places to the left from where it is in the 'new' form.

A move of 4 places left is achieved by multiplying by `10^(color(red)(-4)`

`rArr0.000564=5.64xx10^-4`