 |
| MATHS TRICKS |
MATHS TRICKS TOP 20 SHORT CUT MATHS TRICKS FOR MATHS TO MAKE CALCULATION EASY AND FAST
MATHS TRICKS | In this article we will learn about maths tricks of multiplication, division, square numbers.
maths tricks questions and answers with an example
MATHS TRICKS MULTIPLICATION OF 11 WITH ANY NUMBER OF 3 DIGITS.
Let me explain MATHS TRICKS rule by taking examples.
1. 352 * 11 = 3
--- (3 + 5) --- (5 + 2) --- 2 = 3872
It means
inserting the sum of the 1ST and 2ND digits, then the sum
of the 2ND and 3RD digits between the two terminal digits of the
number
2. 213 * 11 = 2
--- (2 + 1) --- (1 + 3) --- 3 = 2343
EXAMPLE.
Here comes an
extra case
1) 329 * 11 = 3
--- (3 + 2) +1 --- (2 + 9-10) --- 9 = 3619
It means, if the
sum of two digits of the number is greater than 10, then adds 1 to the previous
digit and subtracts 10 from the associated digit.
2)
758 * 11 = 7 + 1 --- (7 + 5-10) +1 --- (5 + 8-10) --- 8 = 8338
MATHS TRICKS REMINDER OF DIVIDING NUMBER by 27 AND 37
Let me explain MATHS TRICKS rule taking examples
Consider the
number 34568276; we have to calculate the reminder about diving this number in
27 and 37 respectively.
Make the
triplets as written below starting from the units.
34 ......... 568
.......... 276
Now the sum of
all the triplets = 34 + 568 + 276 = 878
Divide it by 27
we get reminder like 14
Divide it by 37
we get a reminder as 27
EXAMPLE.
Other examples
for the clarification of the MATHS
TRICKS rule.
Let the number
be 2387850765
The triplets are
2 ... 387 ... 850 ... 765
TOTAL triplets =
2 + 387 + 850 + 765 = 2004
in reviewing the
steps we get
2 ...... 004
Sum = 6
Divide it by 27
we get a reminder like 6
Divide
it by 37 we get a reminder as
MATHS TRICKS REMINDER OF DIVIDING THE NUMBER OF 7 11 AND 13
Let me explain
this rule of MATHS TRICKS taking examples
Consider the
number 34568276, we have to calculate the reminder about diving this number by
7 11 and 13 respectively.
Make the
triplets as written below starting from the units.
34 ......... 568
.......... 276
SO alternate sum
= 34 + 276 = 310 and 568
And the
difference of these sums = 568-310 = 258
Divide it by 7
we get a reminder like 6
Divide it by 11
we get a reminder like 5
Divide it by 13
we get a reminder as 11
Other examples:-
Consider the
number 4523895099854
The triplet
pairs are 4 ... 523 ... 895 ... 099 ... 854
Alternative sums
are 4 + 895 + 854 = 1753 and 523 + 099 = 622
Difference =
1131
Review the same
triplication process
1 ...... 131
Then the
difference = 131-1 = 130
Divide it by 7
we get a reminder like 4
Divide it by 11
we get a reminder like 9
Divide
it by 13 so we get a reminder as 0
MATHS TRICKS TO CALCULATE THE REMINDER OF DIVIDING THE NUMBER BY 3
MATHS
TRICKS Method: - first calculate the sum of digits, then
divide it by 3, the remainder, in this case, will be the required reminder
Example: -
1342568
Let the number
be as written above
Its sum of
digits = 29 = 11 = 2
Then the remainder will be 2
EXAMPLE.
Take some others
34259677858
The sum of
digits of the number is 64 = 10 = 1
Reminder is 1
Similarly, the
number is 54670329845
Then the sum of
digits = 53 = 8
When
we divide 8 by 3 we get a reminder like 2, so the answer will be 2
MATHS TRICKS PLACE OF NUMBERS NEAR 100
Let me explain
this rule by taking examples.
96 ^ 2: -
First calculate
100-96, it's 4
Then 96 ^ 2 =
(96-4) ---- 4 ^ 2 = 9216
Similar
106 ^ 2: -
First, calculate
106-100, it's 6
Then 106 ^ 2 =
(106 + 6) ---- 6 ^ 2 = 11236
EXAMPLE.
Another case
arises.
110 ^ 2 is equal
(110 + 10) ---- 100 is equal (120 + 1) ---- 00 = 12100
Similarly
89
^ 2 is equal (89-11) ---- 121 is equal (78 + 1) ---- 21 =7921
MATHS TRICKS 2 DIGIT SQUARE NUMBERS
Let me explain
this MATHS trick by taking examples.
67 ^ 2 = [6 ^ 2]
[7 ^ 2] + 20 * 6 * 7 = 3649 + 840 is equals to 4489
Similarly
25 ^ 2 = [2 ^ 2]
[5 ^ 2] + 20 * 2 * 5 = 425 + 200 = 625
Take one more
example
97 ^ 2 = [9 ^ 2]
[7 ^ 2] + 20 * 9 * 7 = 8149 + 1260 = 9409
Here it is not
an operation; it is only a separation between the initial 2 digits and the last
2.
EXAMPLE
Here comes an
extra case
Consider the
following examples for that
91
^ 2 = [9 ^ 2] [1 ^ 2] + 20 * 9 * 1 = 8101 + 180 =8281
MATHS TRICKS MULTIPLICATION OF 2 NUMBERS OF TWO DIGITS WHERE THE FIRST DIGIT OF BOTH THE NUMBERS ARE EQUAL AND THE LAST DIGIT OF THE TWO NUMBERS IS SUPPLIED TO 10
Let me explain
this MATHS TRICKS rule taking
examples
To calculate 56
× 54:
Multiply 5 by 5
+ 1. Then, 5 * 6 = 30. Write 30.
Multiply the
last digits together: 6 * 4 = 24. Write 24.
The product of
56 and 54 is thus 3024.
EXAMPLE.
Understand the
rule with 1 more example.
78
* 72 = [7 * (7 + 1)] [8 * 2] = 5616
MATHS TRICKS MULTIPLICATION OF TWO NUMBERS THAT DIFFER FROM 6
If the two
numbers differ by 6, their product is the square of their average minus 9
Let me explain
this MATHS TRICKS rule by taking
examples.
10 * 16 = 13 ^ 2
- 9 = 160
22 * 28 = 25 ^ 2
- 9 = 616
EXAMPLE.
Understand the rule with 1 more example.
997
(*) 1003 = 1000 ^ 2 - 9 is equals to 999991
MATHS TRICKS MULTIPLYING TWO NUMBERS THAT DIFFER FROM 4
If two numbers
differ by four, then their product is the square of the number in the middle
(the average of the 2 numbers) minus 4.
Let me explain
this MATHS TRICKS rule by taking
examples.
22 * 26 = 24 ^ 2
- 4 = 572
98 * 102 = 100 ^
2 - 4 = 9996
EXAMPLE.
Understand the
rule with 1 more example.
148
* 152 = 150 ^ 2 - 4 = 22496
MATHS TRICKS MULTIPLICATION OF TWO NUMBERS THAT DIFFER FROM 2
(This MATHS TRICKS only works if you have
memorized or can quickly calculate the squares of numbers.)
When 2 numbers
differ by 2, your product is always the square of the number between these
numbers minus 1.
1. I explain
this MATHS TRICKS rule taking
examples
18 * 20 = 19 ^ 2
- 1 = 361 - 1 = 360
25 * 27 = 26 ^ 2
- 1 = 676 - 1 = 675
EXAMPLE.
Understand
the rule with 1 example plus 49 * 51 = 50 ^ 2 - 1 = 2500 - 1 = 2499
MATHS TRICKS MULTIPLICATION OF 125 WITH ANY NUMBER
Let me explain
this MATHS TRICKS rule by taking
examples
1. 93 * 125 =
93000/8 = 11625.
2. 137 * 125 =
137000/8 = 17125.
EXAMPLE.
Understand the
rule with 1 more example.
3786
* 125 = 3786000/8 = 473250.
MATHS TRICKS MULTIPLICATION OF 25 WITH ANY NUMBER
Let me explain
this rule taking examples
1. 67 * 25 =
6700/4 = 1675.
2. 298 * 25 =
29800/4 = 7450.
EXAMPLE.
Understand the MATHS TRICKS rule with 1 more example.
5923
* 25 = 592300/4 = 148075.
MATHS TRICKS MULTIPLICATION OF 5 WITH ANY NUMBER
Let me explain
this MATHS TRICKS rule by taking
examples
1. 49 * 5 =
490/2 = 245.
2. 453 * 5 =
4530/2 = 2265.
EXAMPLE.
Understand the
rule with 1 more example.
5649
* 5 = 56490/2 = 28245.
MATHS TRICKS MULTIPLICATION OF 999 WITH ANY NUMBER
Let me explain this MATHS TRICKS rule by taking examples
1. 51 * 999 = 51
* (1000-1) = 51 * 1000-51 = 51000-51 = 50949.
2. 147 * 999 =
147 * (1000-1) = 147000-147 = 146853.
EXAMPLE.
Understand the
rule with 1 more example.
3825
* 999 = 3825 * (1000-1) = 3825000-3825 is equals 3821175
MATHS
TRICKS MULTIPLICATION
OF 99 WITH ANY NUMBER
Let me explain
this MATHS TRICKS rule by taking
examples
1. 46 * 99 = 46
* (100-1) = 46 * 100-46 = 4600-46 = 4554.
2. 362 * 99 =
362 * (100-1) = 36200-362 is equals 35838.
EXAMPLE.
Understand the
rule with 1 more example.
2841
* 99 = 2841 * (100-1) = 284100-2841 is equals 281259
MATHS TRICKS MULTIPLICATION OF 99 WITH ANY NUMBER
Let me explain this MATHS TRICKS rule by taking examples
1. 46 * 99 = 46
* (100-1) = 46 * 100-46 = 4600-46 = 4554.
2. 362 * 99 =
362 * (100-1) = 36200-362 is equals 35838.
EXAMPLE.
Understand the
rule with 1 more example.
2841
* 99 = 2841 * (100-1) = 284100-2841 is equals 281259
MATHS TRICKS MULTIPLICATION OF 9 WITH ANY NUMBER
Let me explain
this MATHS TRICKS rule taking
examples
1. 18 * 9 = 18 *
(10-1) = 18 * 10-18 = 180-18 = 162.
2. 187 * 9 = 187
* (10-1) = 1870-187 = 1683.
EXAMPLE.
Understand the
rule with 1 more example.
1864
* 9 = 1864 * (10-1) = 18640-1864 = 16776
MATHS TRICKS MULTIPLICATION OF 11 WITH ANY NUMBER.
Let me explain this MATHS TRICKS rule by taking examples.
1) 234163 * 11 =
2 --- 2 + 3 --- 3 + 4 --- 4 + 1 --- 1 + 6 --- 6 + 3 --- 3 is equals 2575793
It means
inserting the sum of 2 successive digits and placing 2 terminal digits in their
place
2) 45345181 * 11
= 4 --- 4 + 5 --- 5 + 3 --- 3 + 4 --- 4 + 5 --- 5 + 1 --- 1 + 8 --- 8 + 1- --1
= 498796991
EXAMPLE.
Here comes an
extra case
Consider the
following examples for that
3) 473927 * 11 =
4 + 1 --- (4 + 7-10) +1 --- (7 + 3-10) +1 --- (3 + 9-10) +1 --- (9 + 2-10) ---
(2 + 7) --- 7 = 5213197
4)
584536 * 11 = 5 + 1 --- (5 + 8-10) +1 --- (8 + 4-10) --- (4 + 5) --- (5 + 3)
--- (3 + 6) --- 6 = 6429896
MATHS TRICKS SQUARE OF ANY NUMBER OF 2 DIGITS
Let me explain
this MATHS TRICKS rule by taking
examples
27 ^ 2 = (27 +
3) * (27-3) + 3 ^ 2 = 30 * 24 + 9 = 720 + 9 = 729
In this method,
we have to do a number that ends with 0, that's why; we add 3 to 27.
EXAMPLE.
Understand the rule with 1 more example.
78
^ 2 = (78 + 2) * (78-2) + 2 ^ 2 = 80 * 76 + 4 = 6080 + 4 = 6084
MATHS TRICKS PLACE OF A NUMBER OF 2 DIGITS WITH END OF 5
Let me explain this MATHS TRICKS rule taking examples
35 ^ 2 = 3 * (3
+ 1) --- 25 = 1225
EXAMPLE.
Another example
95 ^ 2 = 9 * (9
+ 1) --- 25 = 9025
TAGS-
magic
maths tricks, maths tricks for fast calculation, maths tricks for competitive
exams, maths tricks for fast multiplication, maths tricks pdf, maths tricks for
kids, maths tricks in Hindi, maths tricks app
