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KennethWilliams
KeymasterYes Savita, it is the same.
KennethWilliams
KeymasterHi Savita,
If you are aksing how to know when the 24 hour wait is over for answering the challenge questions the best way is to click on ‘subscribe’ at the top right of this page. Then you will be informed when I post a question and there will no doubt be a time given on that message – so wait 24 hours from then.
KennethWilliams
KeymasterYou are right Amara, the answer would be 903.
The full, error-free, book is located here:
KennethWilliams
KeymasterYou can try to go straight to the quiz after lesson 17 Preeti, but I think you will find you can only get to the quizzes after lesson 19.
KennethWilliams
KeymasterChallenge Question 9
Can bar numbers be useful in Multiplication?
For example. find <span style=”color: #0000ff;”>23 x 29</span> using Vertically and Crosswise.
KennethWilliams
KeymasterThanks for these excellent answers.
For adding/subtracting fractions using bar numbers the best way is to put one of the fractions into alternative form.
So, just as 19 can be written as 2(1) as 19 is close to 20, we note that 3 7/8 is close to 4, so we can write it as 4 (1)/8 – that is 4 minus an eighth.
Then add: 4 9/11 + 4 (1)/8 =…
Please note we will move onto the Challenge Questions – 2 thread for future questions.
KennethWilliams
KeymasterHi Savita,
I can’t help with this. It is a technical question and you will need to submit a ticket to the Pasyanthi Team.
KennethWilliams
KeymasterHi Mallika,
This week’s test should completed by the end of today.
KennethWilliams
KeymasterThat’s right Fabio. These are all correct ways to get the left-hand side.
KennethWilliams
KeymasterHi Preeti,
Because you are using a base of 200 the left-hand part of 218/56 has to be doubled.
That gives 436/56, and when that is halved we get 21828.
It looks like you tried to do the final halving too early.
KennethWilliams
KeymasterYes it is complicated that way. But you don’t have to introduce bar numbers everywhere – be selective.
In fact just introducing one bar number simplifies the addition considerably.
KennethWilliams
KeymasterNot quite sure what you did there Mallika.
The crosswise parts are 2/3 and 1/4.
Adding these gives 11/12.
So you have 2 + 11/12 + 1/12, which is exactly 3.By the improper fraction method you should have 4*9 / 3*4 = 36/12 = 3 again.
KennethWilliams
KeymasterHi Shikha,
You need to double the 13 before carrying the 1 over.
KennethWilliams
KeymasterHi Preeti,
It is unfortunate that in the USA a bar over a digit or digits is used in numbers after the decimal point to show that that digit or digit sequence recurs. In the UK we put a dot over the first and last digits of a recurring sequence in a decimal.
So we are making a different use of a bar over a digit here. We are following Tirthaji’s system, and in fact a bar over a digit makes sense as a negative as it is the same as a minus sign, only it goes on top.
KennethWilliams
KeymasterHi Shikha,
It goes like this:
79 – 21
105 + 5
84 / -105 = 8295The -1 in the -105 needs to go to the left to give 83/-05.
Then take another 1 from the 83 so that you can take 5 from 100 to give the 95.I hope that makes it clear.
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