Question

How do you write `0.0052` in scientific notation?

Answer 1

`0.0052` in scientific notation is `5.2` `xx` `10^-3`

Explanation:

`5.2` `xx` `10^-3` is `0.0052` in scientific notation because

`10^-3` `=` `-1000` and `0.0052` `xx` `1000` `=` `5.2`

`5.2` `xx` `-1000` `=` `0.0052`

`5.2` `xx` `10^-3` `=` `0.0052`

When numbers are put into scientific notation, the number should only have `1` whole number and the other digits are in the decimal system, that's why `0.0052` in scientific notation is `5.2` `xx` `10^-3`.

Answer 2

`5.2 xx10^(-3)`

Explanation:

`"0.0052 xx 10/10 = (0.0052xx10)/10 = 0.052/10`

`"0.0052 xx 100/100 = (0.0052xx100)/100 = 0.52/100`

`"0.0052 xx 1000/1000 = (0.0052xx1000)/1000 = color(blue)(5.2/1000)`

But `1/1000 = 10^(-3)`

so `color(blue)(5.2/1000)color(red)( = 5.2 xx10^(-3))`