Square of 0.0005?

2 Answers
Hope It Helps · EZ as pi · Tony B
May 12, 2018

#0.00000025#

Explanation:

To find #0.0005^2# multiply #0.0005xx0.0005#

#0color(red)(.000)5xx0color(red)(.000)5=0color(red)(.000000)25#

In the first expression, you have 6 zeros in total before the 5's, so you would put them as placeholders in the answer, and then
#5xx5=25# so now you have #0color(red)(.000000)25#

Tony B
May 12, 2018

If the decimal is giving you a problem use this method:

#0.00000025#

Explanation:

The question is asking for a small part of a small part. So the answer will be less than the original value.

Set #y=(0.0005)^2 #

But 0.0005 is the same as #5xx1/(10,000)#

#y=(0.0005)^2 = (5)^2xx(1/(10,000))^2#

#y=25xx1/(100,000,000)#

#y=0.00000025#

As fraction this is #1/4000000#

#color(brown)("However, the question uses decimal notation. So with no")##color(brown)("instruction otherwise you use the same format as the question.")#

#y=0.00000025#

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