Question

How do you write 12.5 x 0.000 234 in scientific notation?

Answer 1

`12.5 xx 0.000234`
`color(white)("XXXX")` `= (1.25xx10^1) xx (2.34xx10^(-4))`
`color(white)("XXXX")` `= 2.915 xx 10^(-3)`

Explanation:

To convert standard notation to scientific notation
`color(white)("XXXX")`count the number of places to the left you need to move the decimal point to have one non-zero digit to the left of the decimal point (moving the decimal point to the right requires that you count as negative moves).

`(1.25xx10^(+1))xx(2.34xx10^-4)`

`color(white)("XXXX")` `=(1.25xx2.34) xx (10^(+1)xx 10^(-4))`

`color(white)("XXXX")` `= 2.915 xx 10^(-3)`