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
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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