maths made easy and quick 3 | Archana Bhadoria | Skillshare
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4 Lessons (41m)
    • 1. Introductory video

      2:03
    • 2. Nikhilam Sutra for dividing numbers

      17:47
    • 3. Division using transpose and apply

      8:28
    • 4. Division using flag digit

      12:49

About This Class

this is the 3rd class in the series. This class deals with vedic tricks for the basic mathematical operation of Division

The link to other two classes of this series are

http://skl.sh/2a7Eoif

http://skl.sh/28NiAH6

Transcripts

1. Introductory video: Hi did I am Argentina. I'm here to help you understand the basic concepts of maths in a better way. Porters I have chosen to take you the tricks of Reddick mats matches the basis off all practical, useful knowledge system. If you want to be successful at anything, your best friend is your math skills. For many marches, comparatively difficult to loan on understand it is mainly because they're concepts are not clear, so I have a hard time learning it. Imagine how easy, interesting on fun match would be. If you can do any calculation in a matter of seconds, people will be impressed on you. Yourself will seen proud off your own mathematical ability. Never again will you say I am weak in maths. I hate much, but it's so boring and difficult. Instead, you look forward to show up your newly acquired much. Still what this. Let's learn the basic tricks that will help you in Teligent guessing make you confident on creative enhancing memory power on. As a result, you will have a better concentration on improved performance. Use your common sense and be confident. Then you will get success naturally. So let's embark together on this journey. Have a good day 2. Nikhilam Sutra for dividing numbers: when we have to divide numbers less than the base number. But close to the base we used the Killam Sutra been be used compliment. That is the pull off the divisor. It is very interesting, since here, instead of dividing, we multiply by the compliment on. Instead of subtracting the product, we added, very unlike the conventional division process. So let's begin with this unique way off dividing. Suppose we have to divide 33 by nine. First we find the compliment off. Nine. It is one. Now we split the dividend in tow, left on right parts with the right parts having a single digit since here the compliment is a single visit. Number means the right part should have the same number of digits as compliment The red line is drawn to so separate the part on the right Will shoulder remained over. Get on. That on the left will show the caution. So let's begin with this. The ad zero toe the first left. This gives us the first multiplier for the compliment. Here it is. Three. So three into the compliment one gives three. This three is placed. We need the next digit bits here falls in the right column. Next we add this three toe. The digit in the column gives us six. So in this gaze is a remainder on three. That is, the first multiplier is a portion. Now we try a bigger dividend. 1232 by night. Complement. One right side has single lizard, too. First multipliers 11 plus zero gives us one one into the compliment. One gives one. Place it beneath to added, Gives three. This is our second multiplier. Three. Into the compliment one gives three. Put it below three. The third digit on added, we get sick. This is a last multiplier because we have no more digits in the left column after three so six into complement One gives place it beneath two in the right. Column added. Gives us eight as a remainder on the three multipliers from the question 136 Now we have 1234 divided by nine complement. One. So single digit after the red line. First multiplier one plus zero is one one into complement. One gives one listen below two on adding gives three three into complement. One gives three plays it below three I did give six six into complement. One is equal to six for this six below four in the right column on added, it gives Den. Our remainder on 1 36 is a cogent 10 is larger than nine on. The remainder cannot be larger than the divisor. So we divide again or here, since the remainder is just one more than the devices we know it will go one time. So we are one to the caution on. The remainder now becomes one four division. By 99 we get the compliment 01 or top elicit number. So now we have two visits in the right column. First multiplier eight plus zero a. It into zero off the compliment. Zero. Place it beneath zero on eight into one off. Complement it. Place it below the next zero. This ends the division. It is a question on 08 is that remainder? So it means when a compliment is a double digit number, we multiplied each digit by the multiplier on place the products below the neck to get it. The next multiplier would be the following visit, plus the product below it in 390879 divided by 99. We put a red line before 79. Compliment is 01 first multiplier, three three into zero zero. Put it below nine on three into 13 ported below zero second multiplier. Nine plus 09 nine into zero Off Compliment Put it below zero nine into 19 Put it below it. Third multiplier zero plus three plus zero gives three three into zero off. Compliment. Zero portrait below eight three into one off complement 3/4 below. Seven. Last multipliers. Eight plus nine plus zero That a 17 17 in 20 off. Compliment. 0 40 below. Seven 17 into 1 17 Portrait below nine now adding up. Nine plus 17 26 on seven plus 3 10 So we get 100 plus 26 that is 1 26 in the right column as a remainder. For questions, we get 3947 This remainder is greater than 99. So continued a division again to get one more in. The question on. The remainder now becomes 27. Likewise, we can divide by 999 The compliment here will be 001 on the three digits in the right column now 3. Division using transpose and apply : division using the sutra drawn spools on lie. But he will tell you did. This is used for dividing by numbers that are not close to the based numbers. This trick is helpful when the divisor is more than the closest base in this trick. Again, we will multiply on ad were the devices. Compliment is a negative number, which we get by subtracting the number from closest base. So compliment for the divisor 11 will be minus one compliment. Off 112 will be minus one on minus two. The steps are the same as for division using nickel Um, suitor. But here compliment is a negative number. So we subtracted from the did it above for the first multiplier, which is the first little plus zero when they did it above smaller than the product off. The compliment on multiplier beget a negative number as the difference on when this negative difference is multiplied toe the compliment. We get a positive product, which is then added to the next to get the next multiplier 4. Division using flag digit: division using flag bitter for division using Flagged it it too. So trust are used on the flag on vertically and crosswise. In this division trick, we keep aside the right pitch it off The divisor on the flag on this did it is not used as a divisor, but after each division by the rest off the number this flag is it is multiplied by the caution. Did it? We get so the devices 86 b divide by five Andres six on the flag Here divisor is 23 Soviet days, three on the flag. This three is now called the flag Digit. We divide nine by two. This gives cautioned for remainder one next digit is brought down, so the number becomes 15 Now The next step is to multiply four with the flag that it three we get twins subtracted from 15. We get three divide three by two. It goes one time. So a question that it is one on main There is one. Bring down seven now Flagged it into caution. Digit one gives three. Subtract it from 17. We have 14 live now divide 14 by two. It goes seven times, but be If we do so, there will be no remainder left to subtract the product off the flat visit on the caution digit Silva Choose a question digits such that we get a remainder that is larger than the product off the flag with the caution. This is the moon important thing to remember in the strict. So here we take the court in Did it to be sick. Six and 2 to 12 subtracted from 14 to bring down the next two. We have 22 greater than the product. Three into six. That is 18. Now we have a remainder full. Four divided by two gives course, and to here we can keep zero as the remainder because to into the flag that it will give us a sick and then be bring down the sick. We can subtract from six on end the division with zero. Now we can use a smaller space to do these large divisions. By using this format, we need the first rule to write the dividend in the second rule, right the product off the flag that it under caution. Digit third row, right, the product off the divisor and caution when we divide the product written about it. Four through right, the remainder off the second rule figure minus third role figure on. So leave some space between the digits off the dividend to write these remainders off the fourth rule as there tens did it, then you can do the division as told earlier.