How do you simplify and write #18,500*2,250# in scientific notation?

1 Answer
Feb 14, 2017

Answer:

See the entire solution process below:

Explanation:

First, we can convert each term into scientific notation:

#(1.85 xx 10^4) * (2.25 xx 10^3)#

We can now rewrite this expression as:

#(1.85 xx 2.25)(10^4 xx 10^3)#

#4.1625 xx (10^4 xx 10^3)#

We can now use this rule for exponents to simplify the 10s terms: #x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))#

#4.1625 xx (10^color(red)(4) xx 10^color(blue)(3)) = 4.1625 xx 10^(color(red)(4) + color(blue)(3)) =#

#4.1625 xx 10^7#