Multiplication Shortcuts

Multiplication Shortcuts

Multiplication of 2 digit with 2 digit67 56Step 1: 7 6 = 42 Step 2: (66) + (57) = 71 +4(carry) = 75Step 3: 6 5 = 30 + 7(carry) = 37

Multiplication of 3 digit with 3 digit789 123Step 1: 3 9 = 27Step 2: (83) + (92) = 42 + 2(Carry) = 44Step 3: (7 3) + (1 9) + (8 2) = 46 + 4(Carry) = 50Step 4: (7 2) + (8 1) = 22 + 5(Carry) = 27Step 5: 7 1 = 7 + 2(Carry) =9

Divisibility by 7

Find % ending in 0 or 5

To find the % of any Number

Convert Fractions into %

Multiply the Big Numbers

Squaring a number ending in 5352 =?The successor of 3 is 4Multiply 3 and 4Put the answer 12.Suffix 25.The answer is 1225.

Squaring the number beginning in 5562 = ?Always Add 25 with the number in units digit 25+6 = Suffix the square of the unit digit =

3136

Squaring a number beginning in 1

142 = ?42 = 16Put 6. Carry one14 + 4 = 18Add 18 and carry and put the answer in front6181619

Multiplication by 9For 1 to 9Subtract 1. Annex the 9s complement.

7 x 9 = 63For 11 to 19 Subtract 2. Annex the 9s complement.

17 x 9 = 153For 21 to 29Subtract 3. Annex the 9s complement.

26 x 9 = 234

Numbers ending in 6662 =_________.a) Write down 6.b) 2 x (6 + 1) + 1 = 15. Write 5, carry *1.c) 6 x (6 + 1) = 42 + *1 = 43. Write 43.d) The answer is 4356.862 =_________.a) Write down 6.b) 2 x (8 + 1) + 1 = 19. Write 9, carry *1.c) 8 x (8 + 1) = 72 + *1 = 73. Write 73.d) The answer is 7396.

Multiplication by 12Lets understand this method by taking an example.345 12Step 1: Write 345 as 0345.Step 2:Multiply each and every digit with 2 and add it to its right neighbour. This process is started from right. Multiply 5 with 2 and add it to its right neighbour. 5 has no right neighbour so add the multiplication to 0. This gives 10 as a result. So 0 is written down and 1 is carried forward.

Step 3:Multiply 4 with 2 and add it to 5. Carry 1 is added to the result. This gives 14 as a result.4 is written down and 1 is carry forwarded.

Step 4:Multiply 3 with 2 and add it to 4. Carry 1 is added to the result. This gives 11 as a result.1 is written down and 1 is carry forwarded.

Step 5:Multiply 0 with 2 and add it to 3. Carry 1 is added to the result. This gives 4 as a result.

MULTIPLICATION BY SIXPractice what is half of ?To each number add half of the neighbour; plus 5 if it is odd654872

322431

0 6 2 2 0 8 4 x 6

405237310 4 4 3 0 5 2 x 6

21385621

MULTIPLICATION BY SIX2654872943076859361Practice what is half of ?To each number add half of the neighbour; plus 5 if it is odd132243142103342413026548729430768593612654872943076859361