How do you express #0.000564# in scientific notation?

1 Answer
Feb 23, 2017

Answer:

#5.64xx10^-4#

Explanation:

A number expressed in #color(blue)"scientific notation"# has the form.

#color(red)(bar(ul(|color(white)(2/2)color(black)(axx10^n)color(white)(2/2)|)))#
#"where "1<=a<10" and n is an integer"#

Expressing 0.000564 in this form means writing the number as a value between 1 and 10

#rArr0.000564to5.64#

and to get the decimal point back to where it should be means moving it 4 places to the left from where it is in the 'new' form.

A move of 4 places left is achieved by multiplying by #10^(color(red)(-4)#

#rArr0.000564=5.64xx10^-4#