Fast Track Multiplication Techniques or Tricks

Tricks 4

Finding the square of a number ending with 5.

In such cases, number coming before 5, say n, is multiplied with n+1 and 25 is put at the right end of the result obtained n(n+1).

Fast Track Multiplication Techniques or Tricks

Tricks 3

When a number (N) is multiplied by 5,25,125,625………. Or 5ⁿ

In such cases, n zeros are put at the right end of N to get a new number M and then M is divided by 2ⁿ to find the required result of multiplication.

Fast Track Multiplication Techniques or Tricks

Trick 1
When a number (N) is multiplied by 9,99,999,… or (10ⁿ -1).

In such cases, number of zeros equal to number of 9s in (10ⁿ -1) are put extreme right of N to make a new number M and then N is subtracted from this new number to get the result. Clearly, (M - N) is the result of multiplication.

Fast Track Multiplication Techniques or Tricks

Tricks 2
When a number (N) is multiplied by 11, 101, 1001, … or (10ⁿ + 1).

In Such a cases, n zero are put at the right end of N to make a new number M and then N is added to this new number to get the result. Clearly, M+N is the result of multiplication.

L.C.M. & H.C.F.

• PRODUCT OF TWO NUMBERS = H.C.F OF THE NUMBERS * L.C.M OF THE NUMBERS
• TE GREATEST NUMBERS WHICH DIVIDE THE NUMBER x,y,z LEAVING REMAINDERS a,b,c, RESPECTIVELY.