At its farthest point of orbit, Mercury is 69,800,000 kilometers from the sun. What is the scientific notation for this distance?

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Answer 1 · 2018-05-07T08:05:10

#6.98 xx 10^7#

Scientific Notation is a way of writing very big and very small numbers quickly and accurately using powers of #10#

Numbers are written in the form #color(magenta)(a xx 10^n)#.

#a# must be a value from #1#, but less than #10#
#1<= a <10#

#n# must be an integer.

Move the decimal point in # 69,800,000.# until there is only one digit on the left of it.

#color(blue)(6).980 0000.#
#uarrlarrlarr#

#6color(red)(9,800,000) to 6.980# . Count the number of places moved. (#color(red)(7)#).

#69,800,000 = color(blue)(6).98 xx 10^color(red)(7)#