Question

Provide some Math tricks can simplify even complex calculations.

A minimum of 2 tricks is recommended. (Class 1 - 9)

You may include Tricks to find :

1) Multiples
2) Squares
3) Cubes
4) Square roots
5) Divisibility & more...

Points : 25 ☺

Answer 1

1) multiples

how to multiply by 11 in any number :-
this is understand by an example :-
let 5678 multiply with 11
then you can proceed
5+ (6+5) +(7+6) + (8+7) + 8 =62458

multiply with 5 in any number :-
let, 752 x 5
you multiply and divide with 2
e.g 752 x 5 x2/2 = 752 x 10/2
=7520/2 =3760

square :- I have easiest trick for finding square understand this by example :-
find square of 45
first squaring 5 =25 write right side 5 and 2 add with next term
now multiply 4 x 5 x 2 and add 2 =42
write 2 after 5 4 will be added next term
again square 4 =16 and add 4 =20
hence ,
45^2 =2025
in the same way ,
you find out
68^2 =4624

3)cubes :- I think here you proceed by algebric method .
using (a+b)^3=a^3+b^3+3ab (a+b)
(a-b)^3 =a^3 -b^3-3ab (a-b)
example :-
12^3 =(10+2)^3
=(10)^3+(2)^3 +3 (10)(2)(10+2)
=1000 +8 +3 (240)
=1728
if you practice hard this is very useful like tricks

4) SQUARE ROOT :-
first you remember
perfect square root possible only when
unit digit of a number is 1 ,4 ,6 , 5, 9,0
also
square of any number which unit digit is 6 then possibility of unit digit of number of square root is 4 ,6 and if 1 , then 1 ,9 . if 4 then 2, 8 .
if 5 then only 5 is unit digit of square root if 9 then 3 ,7
if 0 then only 0 is unit digit

any number given perfect square root when right side of number given total number of zero in even .
e.g square root of 8100 =90
square root of 400= 20 etc

divisibility :-

rule of divisibility by 2 :-
any even number divisible by 2
e.g 4,246, 78 etc all are divisible

rule of divisibility by 3 :-
if given any number .first add all digits within the number if this resultant divisible by 3 then we can say that given number is divisible by 3
e.g check 12345 is divisible by 3
add all digits
1 + 2 + 3 + 4 + 5 = 15
we know 15 is divisible by 3. so , 12345 is divisible by 3 .

rule of divisibility of 4 :-
if given any number you see last two digits of given number .if these two digits divisible by 4 then given number always divisible by 4
e.g check 2344 is divisible by 4
here 44 last two digits of given number
we know ,
44 divisible by 4
hence , 2344 is also divisible by 4 .

rule of divisibility by 5 :- any number divisible by 5 when its unit digit is also 5
example :- 125 ,125675 , etc are divisible by 5 .

there are many rule in divisibility but necessary rule only above .
another rule you can find out by multiply division , (by basic concept )

Answer 2

HEYA❗❗
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Are you ready to give your mathematics skills a boost? These simple math tricks can help you perform calculations more quickly and easily. They also come in handy if you want to impress your teacher, parents, or friends.

☆Multiplying by 6

If you multiply 6 by an even number, the answer will end with the same digit. The number in the tens place will be half of the number in the ones place.

Example: 6 x 4 = 24
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☆The Answer Is 2

●Think of a number.
●Multiply it by 3.
●Add 6.
●Divide this number by 3.
●Subtract the number from Step 1 from the answer in Step 4.

》The answer is 2.
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☆Same Three Digit Number

●Think of any three-digit number in which each of the digits is the same. Examples include 333, 666, 777, 999.
●Add up the digits.
●Divide the three digit number by the answer in Step 2.

》The answer is 37.
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☆Answer is three digit number

●Take any three-digit number and write it twice to make a six digit number. Examples include 371371 or 552552.
●Divide the number by 7.
●Divide it by 11.
●Divide it by 13. (The order in which you do the division is unimportant.)

The answer is the three digit number

Examples: 371371 gives you 371 or 552552 gives you 552.

A related trick is to take any three-digit number.Multiply it by 7, 11, and 13.

The result will be a six digit number that repeats the three-digit number.

Example: 456 becomes 456456.
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☆The 11 Rule

This is a quick way to multiply two digit numbers by 11 in your head.

●Separate the two digits in your mind.
●Add the two digits together.
●Place the number from Step 2 between the two digits.
●If the number from Step 2 is greater than 9, put the ones digit in the space and carry the tens digit.

Examples: 72 x 11 = 792

57 x 11 = 5 _ 7, but 5 + 7 = 12, so put 2 in the space and add the 1 to the 5 to get 627

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HOPE IT HELPS!!!☺☺✔✔❗❗