How do you express #0.006# in scientific form?

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Answer 1 · 2017-06-16T16:17:54

#6 xx 10^-3#

Scientific notation means a number is of the form:

#a times 10^b#

Where #b# is an integer and #1<=a<10#.

The first non-zero digit in this number is 6, so we should be looking to make the first digit of #a# 6 as well.

To do this, we can multiply 0.006 by #10^3/10^3#. This gives us:

#0.006 xx 10^3/10^3#

#=0.006 xx 10^3 xx 1/10^3#

Multiplying by #10^3# is the same as moving the decimal point 3 places to the right, so this gives us:

#6 xx 1/10^3#

#= 6 xx 10^-3#

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