
By: T0116060A (offline) Friday, August 23 2013 @ 07:58 PM CDT (Read 1373 times)



T0116060A 
Sulin shifted the decimal point of a number twice to the right to obtain a new number. The difference between the new number and the original number was 632.61.
(a) How many times of the new number is the original number?
(b) Find the sum of the two numbers and multiply it by 3.

Newbie
Registered: 08/10/13 Posts: 10





By: gerchan (offline) Friday, August 23 2013 @ 09:48 PM CDT



gerchan 
Hi,
Below is my solution:
Take 100  61 = 39
39 will be my tenths and hundredths place.
Therefore, original number will be 6.39 and new number is 639
check: 639  6.39 = 632.61 (correct)
a) 100
b) 1936.17

Newbie
Registered: 02/23/10 Posts: 3





By: echeewh (offline) Saturday, August 24 2013 @ 09:51 PM CDT



echeewh 
Hey <T0116060A>
Thank you , <gerchan>, for your solution , but I think the answer to (a) is (1/100) and not 100 as per your solution. That could be due to a misinterpretation of the question in (a).
Moreover, an Alternative worked solution is provided as follows:
(a)
Shifting the decimal point of a number twice to the right = Multiply number by 100 times.
New number = (Original number) × 100
Original number = (New number) ÷ 100
Hence, (1/100) times (New number) is the Original number.
(b)
Let Original number be 1u
Given that the difference between the new number and the original number was 632.61, we have ...
New number  Original number = 632.61
New number = 1u + 632.61  (1)
From (a),
New number = 100 × Original number = 100u  (2)
Thus, (1) = (2)
1u + 632.61 = 100u
99u = 632.61
1u > 6.39 {Original number}
Sum of (Original number) and (New number)
= 6.39 + 639
= 645.39
Multiply 3:
645.39 × 3 = 1936.17
=========
Trust this helps.
Do let me know again if this is different from your <Answerkey> or if there's further clarification.
Cheers,
Edward

Active Member
Registered: 04/21/11 Posts: 627





By: gerchan (offline) Sunday, August 25 2013 @ 11:24 PM CDT



gerchan 
oh yes.. (a) answer should be 0.01 ...
sorry sorry...

Newbie
Registered: 02/23/10 Posts: 3





By: T0116060A (offline) Monday, August 26 2013 @ 04:23 AM CDT



T0116060A 
But the answer key for (a) is 0.01 and for (b) is 645.39???

Newbie
Registered: 08/10/13 Posts: 10





By: T0116060A (offline) Monday, August 26 2013 @ 04:52 AM CDT



T0116060A 
But the answer key for (a) is 0.01 and for (b) is 645.39???

Newbie
Registered: 08/10/13 Posts: 10





By: echeewh (offline) Monday, August 26 2013 @ 07:43 AM CDT



echeewh 
Hi <T0116060A>
Thank you for your <Answerkey> and it is much appreciated if you can also provide this <Answerkey> from the start , whenever possible. We will then be able to verify this with our worked solutions too.
As for (a), (1/100) is the same as or equal to 0.01.
For (b), the <Answerkey> of 645.39 is part of the solution only that represents the sum of both numbers , i.e. (New Number) + (Original Number), as can be seen in both our worked solutions. But the question is this  Find the sum of the two numbers and multiply it by 3. We did accordingly, and hence, you have to do the following:
645.39 × 3 = 1936.17*
*There are occasions when typo errors and/or misprints and/or incomplete solutions are found in <Answerkey>.
Hope this clarifies.
Thank you and all the best,
Edward

Active Member
Registered: 04/21/11 Posts: 627



