Is there any shortcut to find the cubes of a number?
Answers
Answer:
Yes there is a shortcut for everything
Just see here
tXdTapu7pK8
Hope it helps.
I am unable to post the link, just search on YouTube.
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