How do you write #0.0052# in scientific notation?

2 Answers
Daniel Boyd
Apr 8, 2016

#0.0052# in scientific notation is #5.2##xx##10^-3#

Explanation:

#5.2##xx##10^-3# is #0.0052# in scientific notation because

#10^-3##=##-1000# and #0.0052##xx##1000##=##5.2#

#5.2##xx##-1000##=##0.0052#

#5.2##xx##10^-3##=##0.0052#

When numbers are put into scientific notation, the number should only have #1# whole number and the other digits are in the decimal system, that's why #0.0052# in scientific notation is #5.2##xx##10^-3#.

Tony B
Apr 8, 2016

#5.2 xx10^(-3)#

Explanation:

#"0.0052 xx 10/10 = (0.0052xx10)/10 = 0.052/10#

#"0.0052 xx 100/100 = (0.0052xx100)/100 = 0.52/100#

#"0.0052 xx 1000/1000 = (0.0052xx1000)/1000 = color(blue)(5.2/1000)#

But #1/1000 = 10^(-3)#

so #color(blue)(5.2/1000)color(red)( = 5.2 xx10^(-3))#

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