Cube Of Two Digit Number Less Than The Base
Cube Of Two Digit Number Less Than The Base
Cube of Two Digit Number Less Than The Base Using Yavadunam Method
This method is used to find the cube of a two 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.
Find Cube of 93
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Step 1 : Find the deficit in the number as compared to the base. For 93 the nearest base is 100 so the deficit is 7 or we can say surplus will be -7 We will double the surplus and add it to the number Result 1 = -7 X 2 + 93 = -14 + 93 = 79 |
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Step 2: The surplus in the Result 1 that is 79 when the base is 100 is -21. We will multiply the surplus with the earlier surplus i.e. -7 Result 2= -21 X -7 = 147 |
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Step 3: Find the Cube of the number that was surplus in step1. Cube of -7 is -343 Result 3 = -343 |
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Since the total zeros in the base are two, so two 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 100 to the leftmost two digits of Result 3, Then the two digits will be prefixed in the answer and the remaining digits of Result 3 will be the carry. Resultant Number= 100 -43 = 57 Result 2 = 147-1 = 146 Answer = 57 Carry is -3 |
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Step 5: The carry is added to Result 2 Then the two digits will be prefixed in the answer and the remaining are the carry. If the digits are less than two then zeros are prefixed. Resultant Number = 146-3 = 143 Answer = 4357 Carry is 1 |
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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 = 79 + 1 = 80 Answer : 804357 |
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