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

1 Answer
Aug 24, 2016

#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#