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This video we'll talk about how to calculate the cube of a number without using a calculator I'll start with a simple example so let's say I am trying to do cube of 32, so the cube would be I saw in for this matter we have to write like this so first take the first digit and I just write 3 cube 3 square and 3 so just write it like this, and then I'll take the second digit which is 2, and I will write it as 2 cube 2 square and this is 2, so I will do this calculation, so this calculation 3 cubes is 27 this is 18 and for 12 this is 8 now what I will do is I'll just take multiply both with 3 only the middle ones so if I multiply with 3 this will be equal to 54 and this will be equal to 36 now I have to add them together, so this is 27 this is 8 so when I add this together this is 8 this is 6 and 3 is the carry over so remember you have to take one digit for each so if the 3 is the carry over this will be 7 and 5 is the carry over and when you add this 5 into this, so this will be 32, so the answer is 3 2 7 6 8 let's try another number so suppose if I have let's say 51 I have to take a cube of this number so in this case first I will write 5 cubed 5 square + 5, and then I'll write 1 cube 1 square in one right so again when I do the calculation is 125 25 5 and 1 I multiply both this by 3, so this will be 75 this will be 15 and then 1 and 125 I'll take the first then I'll take the 5 1 is the carry over so when I take the carry over it will be equal to 6 and 7 is the carry over and that will result in 132, so the answer will be equal to 1 3 2 6 5 1 so this is let us say we have 1 0 5, and you have to take a cube of this number so in this case we'll write 10 cube 10 square and 10, and then we'll write 5 cube 5 square camp; 5 so if you calculate this will have 1,000 this will be 500 this will be 250 and this will be 125 and if we take 3 times of these 2 this will be equal to 1500 and this will be 750 then I have 125 and then 1000 if we add them together we have 512 is the carryover and so this will be equal to 2 and 76 is the carryover, so this will be equal to 6 and 156 is the carryover not 156 its 57 is the carryover and when we add this together we have 1 1 5 7, so the answer will equal to 1 1 5 7 6 2 5 let's do one more example so if I have what should I do here um that to a difficult one, so we have 11 and 2 let's do few of this one, so that will be equal to, so first I have to write 11 cubes 11 square 11, and then I have to write 2 cube 2 square and 2 so 11 cubes that will be equal too so to say 121 into 11, so that's 1 3 3 1 right, so this is 103 3 1 this is 121 multiplied 121 multiplied by 2, so that's equal to 2 for two and this is 11 × 4, so that is 44 and this will be equal to 8 now if I do the 3 times of these so this multiplied by 3 this multiplied by 3 so 6 6 + 1 7 26 this is 132 and this is 1 3 3 1 and this is 8 now I have to add them together so first is 8 and second is a 2 with carry over 13 and then 13 and then if I add them together...
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