Question

How do you write `1,040` in scientific notation?

Answer 1

`color(blue)(1),color(red)(040) =color(blue)(1).04 xx10^color(red)(3)`

Explanation:

Scientific notation is a way of writing very big and very small numbers by referring to powers of 10.
`10 = 1xx10`
`100 =1 xx10^2`
`1,000 = 1 xx 10^3`
`10,000= 1 xx10^4` ... and so on

`250 " is " 2 1/2` hundreds, or `2.5 xx 100 = 2.5 xx10^2`

There should only be one digit before the decimal point ,

`color(blue)(1),color(red)(040) =color(blue)(1).04 xx10^color(red)(3)`

Look at the following examples:

`color(blue)(6)color(red)(93,000) = color(blue)(6).93 xx10^color(red)(5)`

`color(blue)(2)color(red)(1,350,000) = 2.135 xx 10^color(red)(7)`

Decimal fractions are shown with negative indices.

0.`color(red)(0003)74 =3.74 xx 10^color(red)(-4)`

0.`color(red)(000,000,3)45 = 3.45 xx 10^-7`