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is the hundrendth digit of decimal d greater than 5? (Discussion)
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oLahav said – Tue, 21 Apr 2009 12:57:38 -0000 ( Link )
This is easy if you use the “moving the dot” technique.
Statement A says the tenth digit of 10d is 7. So say 10d = 0.7. Divide by 10 means you need to move the dot one step to the left, so d = .07, in which case the hundredth digit is 7, greater than 5. Similarly, statement B says d/10 = 0.007, and now we multiply by 10 and move the dot a step to the right, and again d=0.07. So either statement is sufficient.
You may be confused by the direction of where to dot moves, or by the wording- the “tenth” digit doesn’t mean the “tens” digit (for example, in 20.5, the tenth digit is 5, not 2). That’s an important wording issue. So in 70.1203, the thousandth digit is 0, the hundredth is 2, tenth is 1. Hope this helps.
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Sureshbala said – Thu, 23 Apr 2009 05:32:20 -0000 ( Link )
That’s the perfect explanation by oLahav. rneve, I think everything is clear to you now…
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indianschoolofbusiness said – Fri, 24 Apr 2009 05:11:28 -0000 ( Link )
Hey it can also be answered like this. Let the number be (0.xy) in which case x is the tenth and y is the hundredth. If we multiply this with 10 the number becomes (x.y) [x point y] and the value of tenth’s digit is 7 and therefore y=7.
Similarly, if we divide the number (0.xy) with 10, then the number is 0.0xy and in such a case the thousandth digit is y and the value of y is 7.
Hence, in both the cases, we get the value of y which is actually the hundredth’s digit of the original number, as 7 and hence greater than 5.
So D is the correct answer.
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