Math, asked by amaravathyad, 1 year ago

Is there any shortcut to find the cubes of a number? ​

Answers

Answered by Ashutoshkumar7432
1

Answer:

Yes there is a shortcut for everything

Just see here

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Hope it helps.

I am unable to post the link, just search on YouTube.

Answered by shubham8297
1

Step-by-step explanation:

YOBANKEXAMS

Homepagemath tricks

Bank Exams in math tricks 6 years ago

Shortcut to find cube of any number from 1 to 100

Shortcut to find cube of any number from 1 to 100

Finding cube of a number above 20 in the usual way is difficult and time consuming. With this Shortcut to find cube of any number, you can easily calculate cube of a number within seconds.

Short cut to find cube of number steps

Step 1: Assume the ten’s place number of the given number as a and the unit’s place number as b.

Step 2: Now, we all know that (a+b)³=a³ + 3a²b + 3ab² + b³

We shall manipulate the same formula to calculate the cube of a number.

(i)Find b³ to get the last digit

If you get two digit number then, add ten’s place digit to 3ab²

(ii) Find 3ab²

If you get two digit number then, keep the unit’s place digit and and

add ten’s place digit to 3a²b.

(iii) Find 3a²b

If you get two digit number then, keep the unit’s place digit and and

add ten’s place digit to a³.

(iv) Find a³

If you get two digit number then, just add the carried forward digit if any

and write the number.

Cube of any 2 digit number will be in the pattern of

a³ 3a²b 3ab² b³

Cube To make things easier it is good to memorize the cubes of numbers from

1 to 10

13=1

23=8

33=27

43=64

53=125

63=216

73=343

83=512

93=729

YOBANKEXAMS

Homepagemath tricks

Bank Exams in math tricks 6 years ago

Shortcut to find cube of any number from 1 to 100

Shortcut to find cube of any number from 1 to 100

Finding cube of a number above 20 in the usual way is difficult and time consuming. With this Shortcut to find cube of any number, you can easily calculate cube of a number within seconds.

Short cut to find cube of number steps

Step 1: Assume the ten’s place number of the given number as a and the unit’s place number as b.

Step 2: Now, we all know that (a+b)³=a³ + 3a²b + 3ab² + b³

We shall manipulate the same formula to calculate the cube of a number.

(i)Find b³ to get the last digit

If you get two digit number then, add ten’s place digit to 3ab²

(ii) Find 3ab²

If you get two digit number then, keep the unit’s place digit and and

add ten’s place digit to 3a²b.

(iii) Find 3a²b

If you get two digit number then, keep the unit’s place digit and and

add ten’s place digit to a³.

(iv) Find a³

If you get two digit number then, just add the carried forward digit if any

and write the number.

Cube of any 2 digit number will be in the pattern of

a³ 3a²b 3ab² b³

Cube To make things easier it is good to memorize the cubes of numbers from

1 to 10

13=1

23=8

33=27

43=64

53=125

63=216

73=343

83=512

93=729

Examples

Lets use this method to calculate the cube of a number with help of an example to understand better

Example 1: 32³=?

Step 1: Assume a= 3 and b= 2

Step 2: Now substituting the values of a and b in the below pattern

a³ 3a²b 3ab² b³

(i) Finding b³ Now that is

b³=2³=8

We get the last digit as 8.

(ii) Finding 3ab²

3ab²=3(3)(2)²=36

From this we will keep the one’s place digit(6) and add the ten’s place digit(3) to 3a²b.

(iii)Finding 3a²b and adding ten’s place digit(3)

3a²b=3(3)²(2)=3(9)(2)=54 + 3= 57

From this we will keep the one’s place digit(7) and add ten’s place digit(5) to b in the next step.

(iv) Finding a³ and adding the ten’s place digit(5) from previous step

a³=3³=27+5=32

From this we get the number as 32

From all the above steps we get

Ans 32³=32768

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