How do you write 0.5 in scientific notation?

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1 Answer
Alan P.
Jul 21, 2015

#0.5 = 5.0xx10^(-1)#
#color(white)("XXXX")#(standard notation) = (scientific notation)

Explanation:

To convert standard notation into scientific notation:
(assuming a value greater than zero)

  • If the value is less than 1
    #color(white)("XXXX")#move the decimal point to right as many places as necessary to leave exactly 1 non-zero digit to the left of the decimal point; this new version becomes your mantissa; the negative of the number of places you moved the decimal point becomes your exponent .

  • If the value is greater than 1
    #color(white)("XXXX")#move the decimal point to the left as many places as necessary to leave exactly 1 non-zero digit to the left of the decimal point; this new version becomes your mantissa; the number of places you moved the decimal point becomes your exponent.

  • If the value is exactly 1
    #color(white)("XXXX")#the mantissa is #1.0# and the exponent is 0.

  • If the value is exactly 0
    #color(white)("XXXX")#the mantissa is #0.0# and the exponent is 0.

  • If the value is negative
    #color(white)("XXXX")#Write a minus sign prefix and then treat as a positive value.

Substitute your mantissa and exponent into the general scientific form:
#color(white)("XXXX")#mantissa #xx10^"exponent"#

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