How do you express #234,000# in scientific notation?

Question

13124 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-10-06T00:12:04

#2.34 xx 10^5#

Scientific notation is where you write a number so that it is some number between 1 and 10 that is multiplied by 10 to a power.

Looking at #234000.0#, I know that I need to move the decimal point over until I have a number between 1 and 10. Let's begin:

Move over once: #" "23400.00 #

Move over twice: #" "2340.000 #

Move over three times: #" "234.0000#

Move over four times: #" "23.40000 #

Move over five times: #" "2.340000 -># this number is between 1 and 10!

So I know the number part is #2.34# and since I had to move the decimal place over to the left 5 times the next number is #10^5#

So #2.34 xx 10^5#.