Multiplication Short-cut Tricks

Multiplication of Two digit numbers:

1.   13 x 13 = ?

Answer: 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.)


2.  87 x 33 = ?

The result of multiplication of two digit Answer: 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.)


3.  17 x 19 = ?

Answer: 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.)



4.  38 x 27 = ?

Answer: 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.)



5.  59 x 42 = ?

Answer: 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.)

Multiplication of a Three digit numbers

1.  175 x 157 = ?

Answer: 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.



2.  275×354 = ?

Answer: 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.


3.  395×284 = ?

Answer: 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.