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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