Cube of Two Digit Number


Cube With Anurupyena - Concepts
Class - EXIM AO Prelims Subjects
 
 
Concept Explanation
 

Cube of Two Digit Number

 Cube Of Two Digit Number: To find cube of a two digit numberwe can use this method. This is very fast method and saves a lot of time in the various competitive exams where each second counts.

Find Cube of 54

Step 1 : Find the Cube of the number at Units Place. Cube of 4 is 64

The digit at the unit place of the cube is the digit at the unit place in the Answer and the remaining goes to the carry

Answer 4

Carry is 6

Step 2 : Multiply 3 with the number at tens place and then multiply it with the square of the digit at units place. Add the carry (If Any)

   Result = 3  X  5 X 16 + 6 = 240 + 6 = 246

Now place the units digit of the result at tens position of the answer and the remaining digit will be the carry.

Answer: 64

Carry:  24

Step 3: Multiply 3 with the square of the digit at tens place and then multiply it with the digit at the units place. Add the carry (If any)

Result = 3 X 25 X 4 + 24 = 300 + 24 = 324

Now the digit at units place in the result will be the digit at the hundreds place in the answer and the remaining digit will be the carry.

Answer : 464

Carry: 32

Step 4: Find the cube of the digit at the tens place and add the carry (if any)

Result : 125 + 32 = 157

Answer : 157464

 
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