Nikki P.

asked • 02/16/14

Scientific notation

Write two hundred-thousandths in scientific notation.

4 Answers By Expert Tutors

By:

Steve S. answered • 02/16/14

Tutor
5 (3)

Tutoring in Precalculus, Trig, and Differential Calculus

Charles G.

Steve,
Please examine the question as it is written.
 
Question:
 
200/1,000
 
 
2/100,000
 
Can you please write these two out in words? I think the I see the possible error of my ways and your interpretation! What about:
 
two hundred thousandths  ??????
two-hundred thousandths  2/100,0000
two hundred-thousandths 200/1,000
 
Can you show me the my error or misunderstanding?
The hypen indicates the break does it not?
two hundred (break) thousandths  indicates 200-thousandths not2 - hundred thousandths!
 
I believe that this question may have possibily been sent as a test question or someones form of entertainment.
 
Report

02/19/14

Steve S.

Here are the decimal names up to 10^(-9), from the web site cited:

0.1
One tenth, [zero] point one
0.01
One hundredth, [zero] point zero one
0.001
One thousandth, [zero] point zero zero one
0.000 1
One ten-thousandth, [zero] point zero zero zero one
0.000 01
One hundred-thousandth
0.000 001
One millionth
0.000 000 1
One ten-millionth
0.000 000 01
One hundred-millionth
0.000 000 001
One billionth (in some dialects)

So 0.000 02 is Two hundred-thousandths since
0.000 01 is One hundred-thousandths.

Since 0.001 is One thousandth,
200 of them would be 0.200 = Two Hundred thousandths.

The hyphen is VERY important.

Always state the actual number; English is so prone to confusion.
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02/19/14

Johnnie W. answered • 02/16/14

Tutor
New to Wyzant

California Credentialed Secondary Teacher Offers Private Tutoring

Charles G.

Johnnie,
 
Reading is the key to this problem.  I suggest that Steve is in error because of a simple reading error.
 
Please read the number as written:    two hundred-thousandths is 200/1,000 !  The break indicated by the hypen indicates this the value is: 200 [hypen] thousandths not 2 [hypen] hundred thousandths!
 
Therefore the correct intrepretation of this question is found by using the fraction 200/1,000 not 2/100,000!
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02/19/14

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