How to convert #"433 kg"# to #"mg"# in scientific notation?

2 Answers
Sep 11, 2016

Answer:

see explanation

Explanation:

mg = milligram
#1kg = 1,000,000 mg = 1xx10^6 mg#
#433kg = 433xx1xx10^6 = 4.33xx10^8 mg#

Sep 11, 2016

#"433 kg" = ?#

Well, you can go from #"kg"# to #"g"# to #"mg"# to make it easier. There's never any reason to skip steps, especially when you aren't comfortable yet...

#433 cancel"kg" xx (10^3 cancel"g")/cancel"kg" xx (10^3 "mg")/cancel"g"#

#= 433 xx 10^6 "mg"#

#= color(blue)(4.33xx10^8 "mg")#

Remember that scientific notation asks you to have the base number as #1.bar0 < x < 9.bar9#. So slip that decimal point two magnitudes back.

#433 xx 10^6 "mg"#

#= 433 xx 10^(8 - 2) "mg"#

#= 433 xx 10^(-2) xx 10^(8) "mg"#

#= 4.33 xx 10^8 "mg"#