How do you write 0.0050020.005002 in scientific notation?

2 Answers
smendyka · EZ as pi
Jul 6, 2017

To write this term in scientific notation we need to move the decimal point 3 places to the right, therefore the exponent of the 10 will be negative:

0.005002 = 5.002 xx 10^-30.005002=5.002×10−3

EZ as pi
Jul 15, 2017

5.002 xx 10^-35.002×10−3

Explanation:

When working with scientific notation, a useful rule of thumb is:

If the decimal point moves to the LEFT:

rarr→ the power of 1010 INCREASES by 11 for each place moved.

" "4color(blue)(50,000,000.) xx 10^0 = 4.5 xx 10^color(blue)(8) 450,000,000.×100=4.5×108
" ".larrlarrlarr." " .←←←. (the decimal point moved 88 places left)

If the decimal point moves to the RIGHT:

rarr→ the power of 1010 DECREASES by 11 for each place moved.

" "0color(red)(.000,784) xx 10^0 = 7.84 xx 10^color(red)(-4) 0.000,784×100=7.84×10−4
" ".rarr." " .→. (the decimal point moved 44 places right)

Sometimes in calculations, numbers are obtained which are not in scientific notation. These have to be adjusted so that there is only ONE digit before the point.

17.3 xx 10^15 = 1.73 xx 10^1617.3×1015=1.73×1016

156 xx 10^-9 =1.56 xx 10^-7156×10−9=1.56×10−7

0.00423 xx 10^18 = 4.23 xx 10^150.00423×1018=4.23×1015

0.000,008,91 xx 10^-5 = 8.91 xx 10^-110.000,008,91×10−5=8.91×10−11

Related questions
See all questions in Scientific Notation
Impact of this question
3731 views around the world
You can reuse this answer
Creative Commons License