Basic Tricks - PART-2
Multiplication Shortcut Tricks-1
Similarly can you obtain the multiplication table of 82 ?
The result of multiplication of two digit number is 13×13 = 169.
Step 1: Multiply 3×3 = 9 then,
Step 2: Do Cross-multiplication (1×3) = 3 and (1×3) = 3.
Step 3: Add both the result (1×3 + 1×3) = 6 and write down to the left of 9 (result of step 1).
Step 4: Multiply left hand side numbers (1×1) = 1 and write down to the left of 6 (result of step 3).
Finally the result we get 169. (Try to calculate all four steps in mind.)
87 x 33 = ?
The result of multiplication of two digit number is 88 x 33 = 2871
Step 1: Multiply (3×7) = 21 note down 1 and carry 2 then,
Step 2: Do Cross-multiplication (3×8) = 24 and (3×7) = 21.
Step 3: Add both the result with carry (24 + 21 + 2) = 47 and write down 7 carry 4.
Step 4: Multiply left hand side numbers (3×8) = 24 and add carry (24 + 4) write down to the left of 7
Finally the result we get 2871. (Try to calculate all four steps in mind.)
The result of multiplication of two digit number is 17×19 = 323.
Step 1: Multiply 7×9 = 63 (note down 3 and carry over 6).
Step 2: (1×9 + 1×7 + 6 (add carry)) = 22 (note down 2 and carry over 2 for next step).
Step 3: (1×1 + 2) = 3, note it down.
And finally the result we get 323. (Try to calculate all three steps in mind.)
The result of multiplication of two digit number is 38 x 27 = 1026
Step 1: Multiply (7×8) = 56 note down 6 and carry 5 then,
Step 2: Do Cross-multiplication (7×3) = 21 and (2×8) = 16.
Step 3: Add both the result with carry (21 + 16 + 6) = 42 and write down 2 carry 4.
Step 4: Multiply left hand side numbers (2×3) = 6 and add carry (6 + 4) write down to the left of 2
Finally the result we get 1026. (Try to calculate all four steps in mind.)
The result of multiplication of two digit number is 59 x 42 = 2478
Step 1: Multiply (2×9) = 18 note down 8 and carry 1 then,
Step 2: Do Cross-multiplication (2×5) = 10 and (4×9) = 36.
Step 3: Add both the result with carry (10 + 36 + 1) = 47 and write down 7 carry 4.
Step 4: Multiply left hand side numbers (4×5) = 20 and add carry (20 + 4) write down to the left of 7
Finally the result we get 2478. (Try to calculate all four steps in mind.)
The result of multiplication of three and two digit number is 295×19 = 5605.
Step 1: Multiply 5×9 = 45 (note down 5 and carry 4).
Step 2: Then do cross multiplication and add carry (9×9 + 5×1 + 4) = 90 (note down 0 and carry 9).
Step 3: Again do cross multiplication and add carry (2×9 + 1×9 +9) = 36 (note down 6 and carry 3).
Step 4: Now multiply of left numbers and add carry(2×1 + 3) = 5, note it down.
And finally the result we get 5605.
The result of multiplication of three and two digit number is 195 x 19 = 3705.
Step 1: Multiply 5×9 = 45 (note down 5 and carry 4).
Step 2: Then do cross multiplication and add carry (9×9 + 5×1 + 4) = 90 (note down 0 and carry 9).
Step 3: Again do cross multiplication and add carry (1×9 + 1×9 +9) = 27 (note down 7 and carry 2).
Step 4: Now multiply of left numbers and add carry (1×1 + 2) = 3, note it down.
And finally the result we get 3705.
The result of multiplication of three and two digit number is 195 x 19 = 14355.
Step 1: Multiply 5×9 = 45 (note down 5 and carry 4).
Step 2: Then do cross multiplication and add carry (9×9 + 5×2 + 4) = 95 (note down 5 and carry 9).
Step 3: Then do cross multiplication and add carry (4×9 + 9×2 +9) = 63 (note down 3 and carry 6).
Step 4: Now multiply of left numbers and add carry(4×2 + 6) = 14, note it down.
And finally the result we get 14355.
The result of multiplication of three and two digit number is 195 x 19 = 14355.
Step 1: Multiply 9×9 = 81 (note down 1 and carry 8).
Step 2: Then do cross multiplication and add carry (9×9 + 9×9 + 8)=170 (note down 0 and carry 17).
Step 3: Then do cross multiplication and add carry (9×9 + 9×9 + 17)=179 (note down 9 and carry 17).
Step 4: Now multiply of left numbers and add carry(9×9 + 17) = 98, note it down.
And finally the result we get 98901.
The result of multiplication of a number by 9 is, 945865 x 9 = 8512785.
Step 1: Add 0 to the Right end of the number that is 9458650.
Step 2: Then Subtract original number from the number, 9458650 – 945865 = 8512785.
we get the final result that is 8512785.
The result of multiplication of a number by 9 is, 479834 x 9 = 4318506.
Step 1: Add 0 to the Right end of the number that is 4798340.
Step 2: Then Subtract original number from the number, 4798340 – 479834 = 4318506.
we get the final result that is 4318506.
The result of multiplication of a number by 9 is,77777 x 9 = 699993.
Step 1: Add 0 to the Right end of the number that is 777770.
Step 2: Then Subtract original number from the number, 777770 – 77777 = 699993.
we get the final result that is 699993.
The result of multiplication of a number by 9 is,88888 x 9 = 799992.
Step 1: Add 0 to the Right end of the number that is 888880.
Step 2: Then Subtract original number from the number, 888880 – 88888 = 799992.
we get the final result that is 799992.
The result of multiplication of a number by 9 is,99999 x 9 = 899991.
Step 1: Add 0 to the Right end of the number that is 999990.
Step 2: Then Subtract original number from the number, 999990 – 99999 = 899991.
we get the final result that is 899991.
The result of multiplication of a large number by 5 is, 982982984 x 5 = 4914914920.
we will calculate this large number in shortcut way which minimize the time in exam hall.
Step 1: Firstly we Divide the large number by 2, ie, 982982984 / 2 = 491491492.
Step 2: Add one Zero at the right of this number 4914914920.
And we get the final result that is 4914914920.
The result of multiplication of a large number by 5 is, 62849246 x 5 = 314246230.
we will calculate this large number in shortcut way which minimize the time in exam hall.
Step 1: Firstly we Divide the large number by 2, ie, 62849246 / 2 = 31424623.
Step 2: Add one Zero at the right of this number 314246230.
And we get the final result that is 314246230.
The result of multiplication of a large number by 5 is,849648456 x 5 = 4248242280.
we will calculate this large number in shortcut way which minimize the time in exam hall.
Step 1: Firstly we Divide the large number by 2, ie, 849648456 / 2 = 424824228.
Step 2: Add one Zero at the right of this number 4248242280.
And we get the final result that is 4248242280.
The result of multiplication of a large number by 5 is,429726458 x 5 = 4248242280.
we will calculate this large number in shortcut way which minimize the time in exam hall.
Step 1: Firstly we Divide the large number by 2, ie, 429726458 / 2 = 214863229.
Step 2: Add one Zero at the right of this number2148632290.
And we get the final result that is 2148632290.
The result of multiplication of a number by 11 is, 1234 x 11 = 13574.
We calculate this large number in shortcut way which minimize the time in exam hall.
Note: “Each digit add its Right-turn Number”
Step 1: Firstly we Write down the Right most number of 1234, ie, 4.
Step 2: Add the 4+3 = 7 (note down 7 to the left of 4) 74.
Step 3: Again Add 3+2 = 5 (note down 5 to the left of 7) 574.
Step 4: Again Add 2+1 = 3 (note down 3 to the left of 5) 3574.
Step 5: Lastly note down 1 to the left of number.
We get our final result that is 13574.
The result of multiplication of a number by 11 is, 2769 x 11 = 30459.
We calculate this large number in shortcut way which minimize the time in exam hall.
Note: “Each digit add its Right Turn Number”
Step 1: Firstly we Write down the Right most number of 2769, ie, 9.
Step 2: Add the 9+6 = 15 (note down 5 to the left of 9 and carry 1) 59.
Step 3: Again Add 7+6+1 (add carry) = 14 (note down 4 and carry 1) 459.
Step 4: Again Add 2+7+1 (add carry) = 10 (note down 0 and carry 1) 0459.
Step 5: Lastly Add carry 1 to the right most number 2+1 = 3 (note down the number ).
We get our final result that is 30459.
The result of multiplication of a number by 11 is, 4739 x 11 = 52129.
We calculate this large number in shortcut way which minimize the time in exam hall.
Note: “Each digit add its Right Turn Number”
Step 1: Firstly we Write down the Right most number of 4739, ie, 9.
Step 2: Add the 9+3 = 12 (note down 2 to the left of 9 and carry 1) 29.
Step 3: Again Add 3+7+1 (add carry) = 11 (note down 1 and carry 1) 159.
Step 4: Again Add 7+4+1 (add carry) = 12 (note down 2 and carry 1) 2159.
Step 5: Lastly Add carry 1 to the right most number 4+1 = 5 (note down the number ).
We get our final result that is 52129.
Step 1: Multiply 32 with 4 (First digit of second number) and the result will be 128.
Step 2: Add a 0 to extreme right side of the result, 1280.
Step 3: Multiply 32 with 5 (Second digit of second number) and the result will be 160.
Step 4: And in final step Add both the result 1280 and 160 and we got our result 1440.
So we get the Result quick using above shortcut Tricks.
Step 1: Multiply 32 with 4 (First digit of second number) and the result will be 128.
Step 2: Add a 0 to extreme right side of the result, 1280.
Step 3: Multiply 32 with 5 (Second digit of second number) and the result will be 160.
Step 4: And in final step Add both the result 1280 and 160 and we got our result 1440.
So we get the Result quick using above shortcut Tricks.
Step 1: Multiply 23 with 3 (First digit of second number) and the result will be 69.
Step 2: Add a 0 to extreme right side of the result, 690.
Step 3: Multiply 23 with 4 (Second digit of second number) and the result will be 92.
Step 4: And in final step Add both the result 690 and 92 and we got our result 782.
So we get the Result quick using above shortcut Tricks.
Step 1: Multiply 32 with 4 (First digit of second number) and the result will be 260.
Step 2: Add a 0 to extreme right side of the result, 2600.
Step 3: Multiply 52 with 1 (Second digit of second number) and the result will be 52.
Step 4: And in final step Add both the result 2600 and 52 and we got our result 2652.
So we get the Result quick using above shortcut Tricks.
Step 1: Multiply 32 with 4 (First digit of second number) and the result will be 534.
Step 2: Add a 0 to extreme right side of the result,5340.
Step 3: Multiply 89 with 9 (Second digit of second number) and the result will be 801.
Step 4: And in final step Add both the result 5340 and 801 and we got our result 6141.
So we get the Result quick using above shortcut Tricks.
Step 1: Multiply 79 with 5 (First digit of second number) and the result will be 395.
Step 2: Add a 0 to extreme right side of the result,3950.
Step 3: Multiply 79 with 9 (Second digit of second number) and the result will be 711.
Step 4: And in final step Add both the result 3950 and 711 and we got our result 4661. So we get the Result quick using above shortcut Tricks.
Step 1: Multiply 68 with 5 (First digit of second number) and the result will be 340.
Step 2: Add a 0 to extreme right side of the result,3400.
Step 3: Multiply 68 with 7 (Second digit of second number) and the result will be 476.
Step 4: And in final step Add both the result 3400 and 476 and we got our result 3876. So we get the Result quick using above shortcut Tricks.
Step 1: Multiply 119 with 1 and the result will be 119.
Step 2: Add a 00 to extreme right side of the result, 11900.
Step 3: Multiply 119 with 1 and the result will be 119.
Step 4: Add a 0 to extreme right side of the result,1190.
Step 5: Multiply 119 with 3 and the result will be,357
Step 6: And in final step Add All result that is (11900 + 1190 + 357)and we got our result 13447.
So we get the Result quick using above shortcut Tricks.
Step 1: Multiply 149 with 1 and the result will be 149.
Step 2: Add a 00 to extreme right side of the result, 14900.
Step 3: Multiply 149 with 5 and the result will be 745.
Step 4: Add a 0 to extreme right side of the result,7450.
Step 5: Multiply 149 with 8 and the result will be,1192
Step 6: And in final step Add All result that is (14900 + 7450 + 1192)and we got our result 23542.
So we get the Result quick using above shortcut Tricks.
Step 1: Multiply 239 with 1 and the result will be 239.
Step 2: Add a 00 to extreme right side of the result, 23900.
Step 3: Multiply 239 with 8 and the result will be 1912.
Step 4: Add a 0 to extreme right side of the result,19120.
Step 5: Multiply 239 with 9 and the result will be,2151.
Step 6: And in final step Add All result that is (23900 + 19120 + 2151)and we got our result 45171.
So we get the Result quick using above shortcut Tricks.
Step 1: Multiply 349 with 2 and the result will be 698 .
Step 2: Add a 00 to extreme right side of the result, 69800.
Step 3: Multiply 349 with 5 and the result will be 1745.
Step 4: Add a 0 to extreme right side of the result,17450.
Step 5: Multiply 349 with 8 and the result will be,2792
Step 6: And in final step Add All result that is (69800 + 17450 + 2792)and we got our result 90042.
So we get the Result quick using above shortcut Tricks.
102 x 108 = 11016
In this type of calculation both the numbers are always more then 100.
Step 1: We count more numbers from 100, 1st number is more number is 2 from 100 and 2nd number is 8 more from 100,
Step 2: We just multiply the more numbers,(2 x 8) = 16 and note down.
Step 3: And now we need to do is add the more numbers that is ( 2 + 8) = 10,
Step 4: And Add addition number 10 to 100 that is ( 100 + 10 ) = 110.
so the result is 11016.
Multiplication of numbers more than 100 Number tricks
109 x 107 = 11663
In this type of calculation both the numbers are always more then 100.
Step 1: We count more numbers from 100, 1st number is more number is 9 from 100 and 2nd number is 7 more from 100,
Step 2: We just multiply the more numbers,(9 x 7) = 63 and note down.
Step 3: And now we need to do is add the more numbers that is ( 9 + 7) = 16,
Step 4: And Add addition number 16 to 100 that is ( 100 + 16 ) = 116.
so the result is 11663.
Multiplication of numbers more than 100 Number tricks
119 x 108 = 12852
In this type of calculation both the numbers are always more then 100.
Step 1: We count more numbers from 100, 1st number is more number is 19 from 100 and 2nd number is 8 more from 100,
Step 2: We just multiply the more numbers,(19 x 8) = 152 and note down 52.
Step 3: And now we need to do is add the more numbers with carry that is ( 19 + 8 + 1) = 18,
Step 4: And Add addition number 18 to 100 that is ( 100 + 18 ) = 128.
so the result is 12852.
94 x 95 = 8930
In this type of calculation both the numbers are always less than 100.
Step 1: We count less numbers from 100, 1st number is less number is 6 from 100 and 2nd number is 5 less from 100,
Step 2: We just multiply the less numbers,(6 x 5) = 30.
Step 3: And now we need to do is add the less numbers that is ( 5 + 6) = 11,
Step 4: And subtract 11 from 100 that is ( 100 – 11 ) = 89.
so the result is 8930.
Multiplication of less than 100-base Number tricks
91 x 92 = 8372
In this type of calculation both the numbers are always less than 100.
Step 1: We count less numbers from 100, 1st number is less number is 9 from 100 and 2nd number is 8 less from 100,
Step 2: We just multiply the less numbers,(9 x 8) = 72.
Step 3: And now we need to do is add the less numbers that is ( 9 + 8) = 17,
Step 4: And subtract 17 from 100 that is ( 100 – 17 ) = 83.
so the result is 8372.
Multiplication of less than 100-base Number tricks
93 x 96 = 8928
In this type of calculation both the numbers are always less than 100.
Step 1: We count less numbers from 100, 1st number is less number is 7 from 100 and 2nd number is 4 less from 100,
Step 2: We just multiply the less numbers,(7 x 4) = 28.
Step 3: And now we need to do is add the less numbers that is ( 7 + 4) = 11,
Step 4: And subtract 11 from 100 that is ( 100 – 11 ) = 89.
so the result is 8928.
Multiplication of less than 100-base Number tricks
89 x 83 = 7387
In this type of calculation both the numbers are always less than 100.
Step 1: We count less numbers from 100, 1st number is less number is 11 from 100 and 2nd number is 17 less from 100,
Step 2: We just multiply the less numbers,(11 x 17) = 187, (note down 87 and carry 1).
Step 3: And now we need to do is add the less numbers that is ( 11 + 17) = 28,
Step 4: And subtract 28 from 100 and Add carry that is ( 100 – 28 ) + 1 = 73.
so the result is 7387
Note: In this type of calculation sum of unit digit addition both the numbers are always 10 that is (4 + 6) = 10.
and another remaining number is look similar.
Step 1: We need multiply the unit digit (4 x 6) = 24 note down.
Step 2: and another digit is same so one number is multiply its greater number that is ( 9 x 10 ) = 90 note down.
So the result is 9024.
Note: In this type of calculation sum of unit digit addition both the numbers are always 10 that is (7 + 3) = 10.
and another remaining number is look similar.
Step 1: We need multiply the unit digit (7 x 3) = 21 note down.
Step 2: and another digit is same so one number is multiply its greater number that is ( 8 x 9 ) = 72 note down.
So the result is 7221.
Note: In this type of calculation sum of unit digit addition both the numbers are always 10 that is (2 + 8) = 10.
and another remaining number is look similar.
Step 1: We need multiply the unit digit (2 x 8) = 16 note down.
Step 2: and another digit is same so one number is multiply its greater number that is ( 6 x 7 ) = 42 note down.
So the result is 4216.
Note: In this type of calculation sum of unit digit addition both the numbers are always 10 that is (2 + 8) = 10.
and another remaining number is look similar.
Step 1: We need multiply the unit digit (2 x 8) = 16 note down.
Step 2: and another digit is same so one number is multiply its greater number that is ( 10 x 11 ) = 110 note down.
So the result is 11016.
Step 2: Multiply 69*99 = 6900 – 69 = 6832
So the answer is 6832.
Step 2: Multiply 79*99 = 7900 – 79 = 7821
So the answer is 7821.
Step 2: Multiply 59*99 = 5900 – 59 = 5841
So the answer is 5841.
Step 2: Multiply 47*99 = 4700 – 47 = 4653
So the answer is 4653.
Step 2: Multiply 64*99 = 6400 – 64 = 6336.
So the answer is 6336.
Answer: At First we ignored the All Zeros and multiplying the numbers without Zeros So, Number Become 45 x 9 = 405,
Now Affix the Sum of all ignored Zeros Like here is 9 Zeros So, 405,000,000,000 .
Example 2: 9800 x 300
Answer: Similarly At First we ignored the All Zeros and multiplying the numbers without Zeros So,98 x 3 = 294,
Now Affix the Sum of all ignored Zeros Like here is 4 Zeros So, 2,94,000 .
Example 3: 999000 x 888000
Answer : Similarly we follow above Rule, 887112000000 .
Example 4: 333300 x 7700
Answer : Similarly we follow above Rule, 2566410000 .
Example 5: 1100 x 220000000
Answer : Similarly we follow above Rule, 242000000000 .
Multiplication Shortcut Tricks-1
How to remember multiplication tables upto 100?
As a student growing up in the school, I found it extremely hard to memorize the multiplication table. At times, it made me feel that I am really poor in mathematics. Later, I realized, I was not alone. Most of the students find it hard to memorize the multiplication table. In this tutorial, we will see how to remember multiplication tables upto 100. Later, we will see, how to use this learning to remember the multiplication table till 1000, or may be upto 10000.
With proper practice, you can remember the multiplication till 10000. Now, I would assume, you atleast know the multiplication table till 10 and can do basic addition mentally.
Let us say you want to recall the multiplication table of 41. If you look 41 as a single number, you may find it difficult. Instead separate 41 as 4 and 1.
Tables | Multiplication | ||
41 x 1 | 4 / 1 x 1 | 4 / 1 | 41 |
41 x 2 | 4 / 1 x 2 | 8 / 2 | 82 |
41 x 3 | 4 / 1 x 3 | 12 / 3 | 123 |
41 x 4 | 4 / 1 x 4 | 16 / 4 | 164 |
41 x 5 | 4 / 1 x 5 | 20 / 5 | 205 |
41 x 6 | 4 / 1 x 6 | 24 / 6 | 246 |
41 x 7 | 4 / 1 x 7 | 28 / 7 | 287 |
41 x 8 | 4 / 1 x 8 | 32 / 8 | 328 |
41 x 9 | 4 / 1 x 9 | 36 / 9 | 369 |
41 x 10 | 4 / 1 x 10 | 40 / 10 | 410 |
Important : Notice the carry forward in the multiplication. Since we are separating the digits into single digits you need to keep only 1 digit and the rest of the digits are carry-forward.
In the previous example, we have considered probably the most easier multiplication table. You can easily replicate the multiplication table of numbers such as 31, 51, 81, 91 etc
Consider another example : Let us say we need to obtain the multiplication table of 76.
Consider another example : Let us say we need to obtain the multiplication table of 76.
Tables | Multiplication | ||
76 x 1 | 7 / 6 x 1 | 7 / 6 | 76 |
76 x 2 | 7 / 6 x 2 | 14 / 12 | 152 |
76 x 3 | 7 / 6 x 3 | 21 / 18 | 228 |
76 x 4 | 7 / 6 x 4 | 28 / 24 | 304 |
76 x 5 | 7 / 6 x 5 | 35 / 30 | 380 |
76 x 6 | 7 / 6 x 6 | 42 / 36 | 456 |
76 x 7 | 7 / 6 x 7 | 49 / 42 | 532 |
76 x 8 | 7 / 6 x 8 | 56 / 48 | 608 |
76 x 9 | 7 / 6 x 9 | 63 / 54 | 684 |
76 x 10 | 7 / 6 x 10 | 70 / 60 | 760 |
Tables | Multiplication | ||
82 x 1 | 8 / 2 x 1 | 8 / 2 | 82 |
82 x 2 | 8 / 2 x 2 | 16 / 4 | 164 |
82 x 3 | 8 / 2 x 3 | 24 / 6 | 246 |
82 x 4 | 8 / 2 x 4 | 32 / 8 | 328 |
82 x 5 | 8 / 2 x 5 | 40 / 10 | 410 |
82 x 6 | 8 / 2 x 6 | 48 / 12 | 492 |
82 x 7 | 8 / 2 x 7 | 56 / 14 | 574 |
82 x 8 | 8 / 2 x 8 | 64 / 16 | 656 |
82 x 9 | 8 / 2 x 9 | 72 / 18 | 738 |
82 x 10 | 8 / 2 x 10 | 80 / 20 | 820 |
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Multiplication of Two digit numbers Shortcut tricks
Multiplication of Two digit numbers:
13 x 13 = ?The result of multiplication of two digit number is 13×13 = 169.
Step 1: Multiply 3×3 = 9 then,
Step 2: Do Cross-multiplication (1×3) = 3 and (1×3) = 3.
Step 3: Add both the result (1×3 + 1×3) = 6 and write down to the left of 9 (result of step 1).
Step 4: Multiply left hand side numbers (1×1) = 1 and write down to the left of 6 (result of step 3).
Finally the result we get 169. (Try to calculate all four steps in mind.)
87 x 33 = ?
The result of multiplication of two digit number is 88 x 33 = 2871
Step 1: Multiply (3×7) = 21 note down 1 and carry 2 then,
Step 2: Do Cross-multiplication (3×8) = 24 and (3×7) = 21.
Step 3: Add both the result with carry (24 + 21 + 2) = 47 and write down 7 carry 4.
Step 4: Multiply left hand side numbers (3×8) = 24 and add carry (24 + 4) write down to the left of 7
Finally the result we get 2871. (Try to calculate all four steps in mind.)
Another multiplication of Two digit numbers:
17 x 19 = ?The result of multiplication of two digit number is 17×19 = 323.
Step 1: Multiply 7×9 = 63 (note down 3 and carry over 6).
Step 2: (1×9 + 1×7 + 6 (add carry)) = 22 (note down 2 and carry over 2 for next step).
Step 3: (1×1 + 2) = 3, note it down.
And finally the result we get 323. (Try to calculate all three steps in mind.)
Another multiplication of Two digit numbers
38 x 27 = ?The result of multiplication of two digit number is 38 x 27 = 1026
Step 1: Multiply (7×8) = 56 note down 6 and carry 5 then,
Step 2: Do Cross-multiplication (7×3) = 21 and (2×8) = 16.
Step 3: Add both the result with carry (21 + 16 + 6) = 42 and write down 2 carry 4.
Step 4: Multiply left hand side numbers (2×3) = 6 and add carry (6 + 4) write down to the left of 2
Finally the result we get 1026. (Try to calculate all four steps in mind.)
Another multiplication of Two digit numbers
59 x 42 = ?The result of multiplication of two digit number is 59 x 42 = 2478
Step 1: Multiply (2×9) = 18 note down 8 and carry 1 then,
Step 2: Do Cross-multiplication (2×5) = 10 and (4×9) = 36.
Step 3: Add both the result with carry (10 + 36 + 1) = 47 and write down 7 carry 4.
Step 4: Multiply left hand side numbers (4×5) = 20 and add carry (20 + 4) write down to the left of 7
Finally the result we get 2478. (Try to calculate all four steps in mind.)
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Multiplication of Three and Two digit numbers Shortcut Tricks
Multiplication of Three and Two digit numbers
295 x 19 = ?The result of multiplication of three and two digit number is 295×19 = 5605.
Step 1: Multiply 5×9 = 45 (note down 5 and carry 4).
Step 2: Then do cross multiplication and add carry (9×9 + 5×1 + 4) = 90 (note down 0 and carry 9).
Step 3: Again do cross multiplication and add carry (2×9 + 1×9 +9) = 36 (note down 6 and carry 3).
Step 4: Now multiply of left numbers and add carry(2×1 + 3) = 5, note it down.
And finally the result we get 5605.
Another example of Three and Two digit numbers
195 x 19 = ?The result of multiplication of three and two digit number is 195 x 19 = 3705.
Step 1: Multiply 5×9 = 45 (note down 5 and carry 4).
Step 2: Then do cross multiplication and add carry (9×9 + 5×1 + 4) = 90 (note down 0 and carry 9).
Step 3: Again do cross multiplication and add carry (1×9 + 1×9 +9) = 27 (note down 7 and carry 2).
Step 4: Now multiply of left numbers and add carry (1×1 + 2) = 3, note it down.
And finally the result we get 3705.
Another example of Three and Two digit numbers
495 x 29 = ?The result of multiplication of three and two digit number is 195 x 19 = 14355.
Step 1: Multiply 5×9 = 45 (note down 5 and carry 4).
Step 2: Then do cross multiplication and add carry (9×9 + 5×2 + 4) = 95 (note down 5 and carry 9).
Step 3: Then do cross multiplication and add carry (4×9 + 9×2 +9) = 63 (note down 3 and carry 6).
Step 4: Now multiply of left numbers and add carry(4×2 + 6) = 14, note it down.
And finally the result we get 14355.
Another example of Three and Two digit numbers
999 x 99 = ?The result of multiplication of three and two digit number is 195 x 19 = 14355.
Step 1: Multiply 9×9 = 81 (note down 1 and carry 8).
Step 2: Then do cross multiplication and add carry (9×9 + 9×9 + 8)=170 (note down 0 and carry 17).
Step 3: Then do cross multiplication and add carry (9×9 + 9×9 + 17)=179 (note down 9 and carry 17).
Step 4: Now multiply of left numbers and add carry(9×9 + 17) = 98, note it down.
And finally the result we get 98901.
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Multiplication of Three digit numbers Shortcut Tricks
Multiplication of a Three digit numbers
175 x 157 = ?
The result of multiplication of three digit number is 175×157 = 27475.
Step 1: Multiply (5×7) = 35 (note down 5 carry 3).
Step 2: Then do cross multiplication (7×7 + 5×5 + 3 (add carry)) = 77 (note down 7 carry 7).
Step 3: Again (1×7 + 1×5 + 7×5 + 7 (add carry)) = 54 (note down 4 carry 5).
Step 4: do cross multiplication and add carry (1×5 + 1×7 + 5 (add carry)) = 17 (note down 7 carry 1).
Step 5: Again (1×1 + 1) = 2, note it down.
And finally the result we get 27475.
The result of multiplication of three digit number is 175×157 = 27475.
Step 1: Multiply (5×7) = 35 (note down 5 carry 3).
Step 2: Then do cross multiplication (7×7 + 5×5 + 3 (add carry)) = 77 (note down 7 carry 7).
Step 3: Again (1×7 + 1×5 + 7×5 + 7 (add carry)) = 54 (note down 4 carry 5).
Step 4: do cross multiplication and add carry (1×5 + 1×7 + 5 (add carry)) = 17 (note down 7 carry 1).
Step 5: Again (1×1 + 1) = 2, note it down.
And finally the result we get 27475.
Another Example of Multiplication of a Three digit numbers
275×354 = ?
The result of multiplication of three digit number is 275×354 = 97350.
Step 1: Multiply (4×5) = 20 (note down 0 carry 2).
Step 2: Then do cross multiplication (5×5 + 4×7 + 2 (add carry)) = 55 (note down 5 carry 5).
Step 3: Again (4×2 + 3×5 + 5×7 + 5 (add carry)) = 63 (note down 3 carry 6).
Step 4: Again do cross multiplication and add carry (5×2 + 3×7 + 6) = 37 (note down 7 carry 3).
Step 5: do multiplication of left numbers and add carry (3×2 + 3) = 9, note it down.
And finally the result we get 97350.
The result of multiplication of three digit number is 275×354 = 97350.
Step 1: Multiply (4×5) = 20 (note down 0 carry 2).
Step 2: Then do cross multiplication (5×5 + 4×7 + 2 (add carry)) = 55 (note down 5 carry 5).
Step 3: Again (4×2 + 3×5 + 5×7 + 5 (add carry)) = 63 (note down 3 carry 6).
Step 4: Again do cross multiplication and add carry (5×2 + 3×7 + 6) = 37 (note down 7 carry 3).
Step 5: do multiplication of left numbers and add carry (3×2 + 3) = 9, note it down.
And finally the result we get 97350.
Another Example of Multiplication of a Three digit numbers
395×284 = ?
The result of multiplication of three digit number is 395×284 = 112180.
Step 1: Multiply (4×5) = 20 (note down 0 carry 2).
Step 2: Then do cross multiplication(4×9 + 8×5 + 2 (add carry)) = 78 (note down 8 carry 7).
Step 3: Again (4×3 + 2×5 + 8×9 + 7 (add carry)) = 101 (note down 1 carry 10).
Step 4: Again do cross multiplication and add carry (8×3 + 2×9 + 10) = 52 (note down 2 carry 5).
Step 5: do multiplication of left numbers(2×3 + 5) = 11, note it down.
And finally the result we get 112180.
The result of multiplication of three digit number is 395×284 = 112180.
Step 1: Multiply (4×5) = 20 (note down 0 carry 2).
Step 2: Then do cross multiplication(4×9 + 8×5 + 2 (add carry)) = 78 (note down 8 carry 7).
Step 3: Again (4×3 + 2×5 + 8×9 + 7 (add carry)) = 101 (note down 1 carry 10).
Step 4: Again do cross multiplication and add carry (8×3 + 2×9 + 10) = 52 (note down 2 carry 5).
Step 5: do multiplication of left numbers(2×3 + 5) = 11, note it down.
And finally the result we get 112180.
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Multiplication of Four & Two Digit shortcut Tricks
Multiplication of Four and Two digit numbers
4295 x 19 = ?
The result of multiplication of three and two digit number is 4295×19 = 81605.
Step 1: Multiply 5×9 = 45 (note down 5 and carry 4).
Step 2: Then do cross multiplication and add carry (1×9 + 9×9 + 4) = 90 (note down 0 and carry 9).
Step 3: Again do cross multiplication and add carry (1×9 + 9×2 +9) = 36 (note down 6 and carry 3).
Step 4: Again do cross multiplication and add carry (9×4 + 1×2 +3) =41 (note down 1 and carry 4).
Step 4: Now multiply of left numbers and add carry (1×4 + 4) = 8, note it down.
And finally the result we get 81605.
The result of multiplication of three and two digit number is 4295×19 = 81605.
Step 1: Multiply 5×9 = 45 (note down 5 and carry 4).
Step 2: Then do cross multiplication and add carry (1×9 + 9×9 + 4) = 90 (note down 0 and carry 9).
Step 3: Again do cross multiplication and add carry (1×9 + 9×2 +9) = 36 (note down 6 and carry 3).
Step 4: Again do cross multiplication and add carry (9×4 + 1×2 +3) =41 (note down 1 and carry 4).
Step 4: Now multiply of left numbers and add carry (1×4 + 4) = 8, note it down.
And finally the result we get 81605.
Multiplication of Four and Two digit numbers
3457 x 23 = ?
The result of multiplication of three and two digit number is 4295×19 = 79511.
Step 1: Multiply 3×7 = 21 (note down 1 and carry 2).
Step 2: Then do cross multiplication and add carry (3×5 + 2×7 + 2) = 31 (note down 1 and carry 3).
Step 3: Again do cross multiplication and add carry (2×5 + 3×4 +3) = 25 (note down 5 and carry 2).
Step 4: Again do cross multiplication and add carry (2×4 + 3×3 +3) = 19 (note down 9 and carry 1).
Step 4: Now multiply of left numbers and add carry (2×3 + 1) = 7 , note it down.
And finally the result we get 79511.
The result of multiplication of three and two digit number is 4295×19 = 79511.
Step 1: Multiply 3×7 = 21 (note down 1 and carry 2).
Step 2: Then do cross multiplication and add carry (3×5 + 2×7 + 2) = 31 (note down 1 and carry 3).
Step 3: Again do cross multiplication and add carry (2×5 + 3×4 +3) = 25 (note down 5 and carry 2).
Step 4: Again do cross multiplication and add carry (2×4 + 3×3 +3) = 19 (note down 9 and carry 1).
Step 4: Now multiply of left numbers and add carry (2×3 + 1) = 7 , note it down.
And finally the result we get 79511.
Multiplication of Four and Two digit numbers
5678 x 59 = ?
The result of multiplication of three and two digit number is 5678 x 59 = 335002.
Step 1: Multiply 9×8 = 72 (note down 2 and carry 7).
Step 2: Then do cross multiplication and add carry (5×8 + 9×7 + 7) = 110 (note down 0 and carry 11).
Step 3: Again do cross multiplication and add carry (5×7 + 9×6 +11)=100(note down 0 and carry 10).
Step 4: Again do cross multiplication and add carry (5×6 + 9×5 +10) = 85 (note down 5 and carry 8).
Step 4: Now multiply of left numbers and add carry (5×5 + 8) = 33 , note it down.
And finally the result we get 335002.
The result of multiplication of three and two digit number is 5678 x 59 = 335002.
Step 1: Multiply 9×8 = 72 (note down 2 and carry 7).
Step 2: Then do cross multiplication and add carry (5×8 + 9×7 + 7) = 110 (note down 0 and carry 11).
Step 3: Again do cross multiplication and add carry (5×7 + 9×6 +11)=100(note down 0 and carry 10).
Step 4: Again do cross multiplication and add carry (5×6 + 9×5 +10) = 85 (note down 5 and carry 8).
Step 4: Now multiply of left numbers and add carry (5×5 + 8) = 33 , note it down.
And finally the result we get 335002.
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Multiplication of a number by 9 Shortcut method
Multiplication of a number by 9
945865 x 9 = ?The result of multiplication of a number by 9 is, 945865 x 9 = 8512785.
Step 1: Add 0 to the Right end of the number that is 9458650.
Step 2: Then Subtract original number from the number, 9458650 – 945865 = 8512785.
we get the final result that is 8512785.
Another Example of Multiplication of a number by 9
479834 x 9 = ?The result of multiplication of a number by 9 is, 479834 x 9 = 4318506.
Step 1: Add 0 to the Right end of the number that is 4798340.
Step 2: Then Subtract original number from the number, 4798340 – 479834 = 4318506.
we get the final result that is 4318506.
Another Example of Multiplication of a number by 9
77777 x 9 = ?The result of multiplication of a number by 9 is,77777 x 9 = 699993.
Step 1: Add 0 to the Right end of the number that is 777770.
Step 2: Then Subtract original number from the number, 777770 – 77777 = 699993.
we get the final result that is 699993.
Another Example of Multiplication of a number by 9
88888 x 9 = ?The result of multiplication of a number by 9 is,88888 x 9 = 799992.
Step 1: Add 0 to the Right end of the number that is 888880.
Step 2: Then Subtract original number from the number, 888880 – 88888 = 799992.
we get the final result that is 799992.
Another Example of Multiplication of a number by 9
99999 x 9 = ?The result of multiplication of a number by 9 is,99999 x 9 = 899991.
Step 1: Add 0 to the Right end of the number that is 999990.
Step 2: Then Subtract original number from the number, 999990 – 99999 = 899991.
we get the final result that is 899991.
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Multiplication of Large numbers by 5 Shortcut method
Multiplication of large numbers by 5
982982984 x 5 = ?The result of multiplication of a large number by 5 is, 982982984 x 5 = 4914914920.
we will calculate this large number in shortcut way which minimize the time in exam hall.
Step 1: Firstly we Divide the large number by 2, ie, 982982984 / 2 = 491491492.
Step 2: Add one Zero at the right of this number 4914914920.
And we get the final result that is 4914914920.
Another multiplication of large numbers by 5
62849246 x 5 = ?The result of multiplication of a large number by 5 is, 62849246 x 5 = 314246230.
we will calculate this large number in shortcut way which minimize the time in exam hall.
Step 1: Firstly we Divide the large number by 2, ie, 62849246 / 2 = 31424623.
Step 2: Add one Zero at the right of this number 314246230.
And we get the final result that is 314246230.
Another multiplication of large numbers by 5
849648456 x 5 = ?The result of multiplication of a large number by 5 is,849648456 x 5 = 4248242280.
we will calculate this large number in shortcut way which minimize the time in exam hall.
Step 1: Firstly we Divide the large number by 2, ie, 849648456 / 2 = 424824228.
Step 2: Add one Zero at the right of this number 4248242280.
And we get the final result that is 4248242280.
Another multiplication of large numbers by 5
429726458 x 5 = ?The result of multiplication of a large number by 5 is,429726458 x 5 = 4248242280.
we will calculate this large number in shortcut way which minimize the time in exam hall.
Step 1: Firstly we Divide the large number by 2, ie, 429726458 / 2 = 214863229.
Step 2: Add one Zero at the right of this number2148632290.
And we get the final result that is 2148632290.
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Multiplication of a number by 11 Shortcut method
Multiplication of a number by 11
1234 x 11 = ?The result of multiplication of a number by 11 is, 1234 x 11 = 13574.
We calculate this large number in shortcut way which minimize the time in exam hall.
Note: “Each digit add its Right-turn Number”
Step 1: Firstly we Write down the Right most number of 1234, ie, 4.
Step 2: Add the 4+3 = 7 (note down 7 to the left of 4) 74.
Step 3: Again Add 3+2 = 5 (note down 5 to the left of 7) 574.
Step 4: Again Add 2+1 = 3 (note down 3 to the left of 5) 3574.
Step 5: Lastly note down 1 to the left of number.
We get our final result that is 13574.
Another multiplication of a number by 11
2769 x 11 = ?The result of multiplication of a number by 11 is, 2769 x 11 = 30459.
We calculate this large number in shortcut way which minimize the time in exam hall.
Note: “Each digit add its Right Turn Number”
Step 1: Firstly we Write down the Right most number of 2769, ie, 9.
Step 2: Add the 9+6 = 15 (note down 5 to the left of 9 and carry 1) 59.
Step 3: Again Add 7+6+1 (add carry) = 14 (note down 4 and carry 1) 459.
Step 4: Again Add 2+7+1 (add carry) = 10 (note down 0 and carry 1) 0459.
Step 5: Lastly Add carry 1 to the right most number 2+1 = 3 (note down the number ).
We get our final result that is 30459.
Another multiplication of a number by 11
4739 x 11 = ?The result of multiplication of a number by 11 is, 4739 x 11 = 52129.
We calculate this large number in shortcut way which minimize the time in exam hall.
Note: “Each digit add its Right Turn Number”
Step 1: Firstly we Write down the Right most number of 4739, ie, 9.
Step 2: Add the 9+3 = 12 (note down 2 to the left of 9 and carry 1) 29.
Step 3: Again Add 3+7+1 (add carry) = 11 (note down 1 and carry 1) 159.
Step 4: Again Add 7+4+1 (add carry) = 12 (note down 2 and carry 1) 2159.
Step 5: Lastly Add carry 1 to the right most number 4+1 = 5 (note down the number ).
We get our final result that is 52129.
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Multiplication of a Numbers Range Below 50 Quick shortcut tricks
Multiplication of Quick shortcut tricks of two digits numbers Range below 50
32 x 45 = 1440Step 1: Multiply 32 with 4 (First digit of second number) and the result will be 128.
Step 2: Add a 0 to extreme right side of the result, 1280.
Step 3: Multiply 32 with 5 (Second digit of second number) and the result will be 160.
Step 4: And in final step Add both the result 1280 and 160 and we got our result 1440.
So we get the Result quick using above shortcut Tricks.
Multiplication of Quick shortcut tricks of two digits numbers Range below 50
32 x 45 = 1440Step 1: Multiply 32 with 4 (First digit of second number) and the result will be 128.
Step 2: Add a 0 to extreme right side of the result, 1280.
Step 3: Multiply 32 with 5 (Second digit of second number) and the result will be 160.
Step 4: And in final step Add both the result 1280 and 160 and we got our result 1440.
So we get the Result quick using above shortcut Tricks.
Multiplication of Quick shortcut tricks of two digits numbers Range below 50
23 x 34 = 782Step 1: Multiply 23 with 3 (First digit of second number) and the result will be 69.
Step 2: Add a 0 to extreme right side of the result, 690.
Step 3: Multiply 23 with 4 (Second digit of second number) and the result will be 92.
Step 4: And in final step Add both the result 690 and 92 and we got our result 782.
So we get the Result quick using above shortcut Tricks.
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Multiplication of a Numbers Range above 50 & Below 100 Quick shortcut tricks
Multiplication of Quick shortcut tricks of two digits number Range above 50 below 100 numbers
52 x 51 = 2652Step 1: Multiply 32 with 4 (First digit of second number) and the result will be 260.
Step 2: Add a 0 to extreme right side of the result, 2600.
Step 3: Multiply 52 with 1 (Second digit of second number) and the result will be 52.
Step 4: And in final step Add both the result 2600 and 52 and we got our result 2652.
So we get the Result quick using above shortcut Tricks.
Multiplication of Quick shortcut tricks of two digits numbers Range above 50 below 100 numbers
89x 69 = 6141Step 1: Multiply 32 with 4 (First digit of second number) and the result will be 534.
Step 2: Add a 0 to extreme right side of the result,5340.
Step 3: Multiply 89 with 9 (Second digit of second number) and the result will be 801.
Step 4: And in final step Add both the result 5340 and 801 and we got our result 6141.
So we get the Result quick using above shortcut Tricks.
Multiplication of Quick shortcut tricks of two digits numbers Range above 50 below 100 numbers
79x 59 = 6141Step 1: Multiply 79 with 5 (First digit of second number) and the result will be 395.
Step 2: Add a 0 to extreme right side of the result,3950.
Step 3: Multiply 79 with 9 (Second digit of second number) and the result will be 711.
Step 4: And in final step Add both the result 3950 and 711 and we got our result 4661. So we get the Result quick using above shortcut Tricks.
Multiplication of Quick shortcut tricks of two digits numbers Range above 50 below 100 numbers
68x 57 = 3876Step 1: Multiply 68 with 5 (First digit of second number) and the result will be 340.
Step 2: Add a 0 to extreme right side of the result,3400.
Step 3: Multiply 68 with 7 (Second digit of second number) and the result will be 476.
Step 4: And in final step Add both the result 3400 and 476 and we got our result 3876. So we get the Result quick using above shortcut Tricks.
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Multiplication of a Numbers Range Above 100 of Three digits Quick shortcut tricks
Multiplication of Quick shortcut tricks of any digits numbers
119 x 113= 13447Step 1: Multiply 119 with 1 and the result will be 119.
Step 2: Add a 00 to extreme right side of the result, 11900.
Step 3: Multiply 119 with 1 and the result will be 119.
Step 4: Add a 0 to extreme right side of the result,1190.
Step 5: Multiply 119 with 3 and the result will be,357
Step 6: And in final step Add All result that is (11900 + 1190 + 357)and we got our result 13447.
So we get the Result quick using above shortcut Tricks.
Multiplication of Quick shortcut tricks of any digits numbers
149 x 158= 23542Step 1: Multiply 149 with 1 and the result will be 149.
Step 2: Add a 00 to extreme right side of the result, 14900.
Step 3: Multiply 149 with 5 and the result will be 745.
Step 4: Add a 0 to extreme right side of the result,7450.
Step 5: Multiply 149 with 8 and the result will be,1192
Step 6: And in final step Add All result that is (14900 + 7450 + 1192)and we got our result 23542.
So we get the Result quick using above shortcut Tricks.
Multiplication of Quick shortcut tricks of any digits numbers
239 x 189= 45171Step 1: Multiply 239 with 1 and the result will be 239.
Step 2: Add a 00 to extreme right side of the result, 23900.
Step 3: Multiply 239 with 8 and the result will be 1912.
Step 4: Add a 0 to extreme right side of the result,19120.
Step 5: Multiply 239 with 9 and the result will be,2151.
Step 6: And in final step Add All result that is (23900 + 19120 + 2151)and we got our result 45171.
So we get the Result quick using above shortcut Tricks.
Multiplication of Quick shortcut tricks of any digits numbers
349 x 258= 90042Step 1: Multiply 349 with 2 and the result will be 698 .
Step 2: Add a 00 to extreme right side of the result, 69800.
Step 3: Multiply 349 with 5 and the result will be 1745.
Step 4: Add a 0 to extreme right side of the result,17450.
Step 5: Multiply 349 with 8 and the result will be,2792
Step 6: And in final step Add All result that is (69800 + 17450 + 2792)and we got our result 90042.
So we get the Result quick using above shortcut Tricks.
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Multiplication of numbers More Than 100 shortcut tricks
Multiplication of numbers more than 100 Number tricks102 x 108 = 11016
In this type of calculation both the numbers are always more then 100.
Step 1: We count more numbers from 100, 1st number is more number is 2 from 100 and 2nd number is 8 more from 100,
Step 2: We just multiply the more numbers,(2 x 8) = 16 and note down.
Step 3: And now we need to do is add the more numbers that is ( 2 + 8) = 10,
Step 4: And Add addition number 10 to 100 that is ( 100 + 10 ) = 110.
so the result is 11016.
Multiplication of numbers more than 100 Number tricks
109 x 107 = 11663
In this type of calculation both the numbers are always more then 100.
Step 1: We count more numbers from 100, 1st number is more number is 9 from 100 and 2nd number is 7 more from 100,
Step 2: We just multiply the more numbers,(9 x 7) = 63 and note down.
Step 3: And now we need to do is add the more numbers that is ( 9 + 7) = 16,
Step 4: And Add addition number 16 to 100 that is ( 100 + 16 ) = 116.
so the result is 11663.
Multiplication of numbers more than 100 Number tricks
119 x 108 = 12852
In this type of calculation both the numbers are always more then 100.
Step 1: We count more numbers from 100, 1st number is more number is 19 from 100 and 2nd number is 8 more from 100,
Step 2: We just multiply the more numbers,(19 x 8) = 152 and note down 52.
Step 3: And now we need to do is add the more numbers with carry that is ( 19 + 8 + 1) = 18,
Step 4: And Add addition number 18 to 100 that is ( 100 + 18 ) = 128.
so the result is 12852.
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Multiplication of Less than 100-base Number tricks
Multiplication of less than 100-base Number tricks94 x 95 = 8930
In this type of calculation both the numbers are always less than 100.
Step 1: We count less numbers from 100, 1st number is less number is 6 from 100 and 2nd number is 5 less from 100,
Step 2: We just multiply the less numbers,(6 x 5) = 30.
Step 3: And now we need to do is add the less numbers that is ( 5 + 6) = 11,
Step 4: And subtract 11 from 100 that is ( 100 – 11 ) = 89.
so the result is 8930.
Multiplication of less than 100-base Number tricks
91 x 92 = 8372
In this type of calculation both the numbers are always less than 100.
Step 1: We count less numbers from 100, 1st number is less number is 9 from 100 and 2nd number is 8 less from 100,
Step 2: We just multiply the less numbers,(9 x 8) = 72.
Step 3: And now we need to do is add the less numbers that is ( 9 + 8) = 17,
Step 4: And subtract 17 from 100 that is ( 100 – 17 ) = 83.
so the result is 8372.
Multiplication of less than 100-base Number tricks
93 x 96 = 8928
In this type of calculation both the numbers are always less than 100.
Step 1: We count less numbers from 100, 1st number is less number is 7 from 100 and 2nd number is 4 less from 100,
Step 2: We just multiply the less numbers,(7 x 4) = 28.
Step 3: And now we need to do is add the less numbers that is ( 7 + 4) = 11,
Step 4: And subtract 11 from 100 that is ( 100 – 11 ) = 89.
so the result is 8928.
Multiplication of less than 100-base Number tricks
89 x 83 = 7387
In this type of calculation both the numbers are always less than 100.
Step 1: We count less numbers from 100, 1st number is less number is 11 from 100 and 2nd number is 17 less from 100,
Step 2: We just multiply the less numbers,(11 x 17) = 187, (note down 87 and carry 1).
Step 3: And now we need to do is add the less numbers that is ( 11 + 17) = 28,
Step 4: And subtract 28 from 100 and Add carry that is ( 100 – 28 ) + 1 = 73.
so the result is 7387
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Multiplication of numbers New type shortcut tricks
Multiplication of numbers new type shortcut tricks
94 x 96 = 9024Note: In this type of calculation sum of unit digit addition both the numbers are always 10 that is (4 + 6) = 10.
and another remaining number is look similar.
Step 1: We need multiply the unit digit (4 x 6) = 24 note down.
Step 2: and another digit is same so one number is multiply its greater number that is ( 9 x 10 ) = 90 note down.
So the result is 9024.
Multiplication of numbers new type shortcut tricks
87 x 83 = 7221Note: In this type of calculation sum of unit digit addition both the numbers are always 10 that is (7 + 3) = 10.
and another remaining number is look similar.
Step 1: We need multiply the unit digit (7 x 3) = 21 note down.
Step 2: and another digit is same so one number is multiply its greater number that is ( 8 x 9 ) = 72 note down.
So the result is 7221.
Multiplication of numbers new type shortcut tricks
62 x 68 = 4216Note: In this type of calculation sum of unit digit addition both the numbers are always 10 that is (2 + 8) = 10.
and another remaining number is look similar.
Step 1: We need multiply the unit digit (2 x 8) = 16 note down.
Step 2: and another digit is same so one number is multiply its greater number that is ( 6 x 7 ) = 42 note down.
So the result is 4216.
Multiplication of numbers new type shortcut tricks
102 x 108 = 11016Note: In this type of calculation sum of unit digit addition both the numbers are always 10 that is (2 + 8) = 10.
and another remaining number is look similar.
Step 1: We need multiply the unit digit (2 x 8) = 16 note down.
Step 2: and another digit is same so one number is multiply its greater number that is ( 10 x 11 ) = 110 note down.
So the result is 11016.
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Multiplication a number with 99
Multiplication a number with 99
Step 1: Multiply the number with 100 and then minus same number from the result.Step 2: Multiply 69*99 = 6900 – 69 = 6832
So the answer is 6832.
Multiplication a number with 99
Step 1: Multiply the number with 100 and then minus same number from the result.Step 2: Multiply 79*99 = 7900 – 79 = 7821
So the answer is 7821.
Multiplication a number with 99
Step 1: Multiply the number with 100 and then minus same number from the result.Step 2: Multiply 59*99 = 5900 – 59 = 5841
So the answer is 5841.
Multiplication a number with 99
Step 1: Multiply the number with 100 and then minus same number from the result.Step 2: Multiply 47*99 = 4700 – 47 = 4653
So the answer is 4653.
Multiplication a number with 99
Step 1: Multiply the number with 100 and then minus same number from the result.Step 2: Multiply 64*99 = 6400 – 64 = 6336.
So the answer is 6336.
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Multiplying Numbers Ending with Zero
Example1: 45,000 x 9,000,000Answer: At First we ignored the All Zeros and multiplying the numbers without Zeros So, Number Become 45 x 9 = 405,
Now Affix the Sum of all ignored Zeros Like here is 9 Zeros So, 405,000,000,000 .
Example 2: 9800 x 300
Answer: Similarly At First we ignored the All Zeros and multiplying the numbers without Zeros So,98 x 3 = 294,
Now Affix the Sum of all ignored Zeros Like here is 4 Zeros So, 2,94,000 .
Example 3: 999000 x 888000
Answer : Similarly we follow above Rule, 887112000000 .
Example 4: 333300 x 7700
Answer : Similarly we follow above Rule, 2566410000 .
Example 5: 1100 x 220000000
Answer : Similarly we follow above Rule, 242000000000 .
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