59 change into vinculum numbers
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Answer:
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Step-by-step explanation:
How to get vinculum numbers
The secret to vinculum numbers lies in the “Nikhilam Navatashcaramam Dashatah” sutra, which translates as “All from 9 the Last from 10” and the “Ekadhikena Purvena” sutra which translates as “By one more than the previous one.” These sutra is used to obtain the vinculum numbers as I will show you below. Let us begin with an example…
Example #1: 26
Here we wish to convert the number ’26’ into a number that only consists of a mixture of (0, 1, 2, 3, 4, 5).
1) For this first step we will be using the “All from 9 the Last from 10” sutra. The first thing we do is identify the last digit that happens to be a higher number (6, 7, 8, 9). In this case that number is ‘6’, the last digit.
2) We see that ‘6’ is 4 less than 10 (we use ’10’ because of the sutra…”All from 9 the Last from 10”), so we write this as 4. (Side Note: In books on Vedic math, the line will be on top of the numbers, but since I’m typing this on a computer for simplicity’s sake its easier to write it below.)
3) Now we use the “By one more than the previous one.” The previous one is ‘2’ in this case, and by one more means ‘3’. Our number is now…
26 = 34
You can think of 34 as (30 – 4) which gives you 26.
Example #2: 183
183 = 223
1) Since 8 is the last “higher number”, we take it from 10….10-8 = 2. We write it as 2.
2) We then add one to the previous one…1 + 1 = 2.
3) The ‘3’ is unaffected so it stays the same.
This should be thought of as 203 – 20.
Example #3: 169
169 = 231
1) The last in this example is the ‘9’, so we take it from 10….10 – 9 = 1. We write it as 1.
2) In this example we have a second digit that is a “higher number”…’6′. For this we use the first part of the Nikhilam sutra…”All from 9.” So we take ‘6’ from 9….9 – 6 = 3. We write this down as 3.
3) We add one to the previous one (‘1’)…1 + 1 = 2.
This should be thought of as either “200 – 30 – 1” or “200 – 31.”
Example #4: 372962
372962 = 433042
1) Before our “higher numbers” were always grouped together so we had only one “last”, however now we will have 2 in the number “372962”….the ‘7’ and the ’96’.
2) The “last” of the first group is 7…so 10 – 7 = 3. We write 3. This takes care of the first group.
3) Add one to the previous one…so 3 + 1 = 4.
4) Now look at the second group, the last is ‘6’…10 – 6 = 4. We write 4. The other number, ‘9’, we take from 9……9 – 9 = 0.
5) Add one to the previous one…2 + 1 = 3.
This number (433042) represents 403,002 – 30,040.
Here are a few more:
15627283 = 16433323
397968697 = 402031303
37 x 98 = 43 x 102
The great thing about this is that 0 & 1 are twice as likely to show up now, and these numbers are easy to multiply by! Look at the last example…we went from having to multipy by ‘9’ and ‘8’ which are hard, to ‘0’, ‘1’ and ‘2’ which are much simpler.