Cube Of Three Digit Number Less Than The Base
Cube Of Three Digit Number Less Than The Base
Cube of a Three Digit Number Less Than The Base Using Yavadunam Method
This method is used to find the cube of a three digit number less than the base. It is a very efficient way of finding Cube. It saves a lot of time in competitive exam where each second counts and doing these type of calculations in normal ways consumes lot of our precious time.
Finding Cube of 996
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Step 1 : Find the deficit in the number as compared to the base. For 996 the nearest base is 1000 so the deficit is 4 or we can say surplus will be -4 We will double the surplus and add it to the number Result 1 = -4 X 2 + 996 = -8 + 996 = 988 |
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Step 2: The surplus in the Result 1 that is 988 when the base is 1000 is -12. We will multiply the surplus with the earlier surplus i.e. -4 Result 2= -12 X -4 = 48 |
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Step 3: Find the Cube of the number that was surplus in step1. Cube of -4 is -64 Result 3 = -64 |
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Since the total zeros in the base are three, so three digits will we be prefixed in the answer at each step. Step 4: As the Result 3 is negative We will borrow 1 from result 2 add 1000 to the result 3, Then the three digits will be prefixed in the answer and the remaining are the carry. Resultant Number= 1000 -64 = 936 Result 2 = 48-1 = 47 Answer = 936 Carry is 0 |
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Step 5: The carry is added to Result 2 Then the three digits will be prefixed in the answer and the remaining are the carry. If the digits are less than three then zeros are prefixed. Resultant Number = 047 Answer 047936 Carry is 0 |
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Step 6: The Carry is added to the Result 1. The Resultant Number is Leftmost Block of the Answer Resultant Number = 988 + 0 = 988 Answer : 988047936 |
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Aman Kumar Shrivastava
10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
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