Multiplication Trick 4

Condition : This trick is used when we multiply quickly two numbers with 5 as the unit digit. Example. 75×95 , 95×85 ,115×145 , 125×105

Illustration 1 :
75×95

Solution:
Numbers Split as
75 7 / 5
× 95 9 / 5

[Split the numbers keeping the last digit (5) aside]

1st part / 2nd part

Product +Sum ÷ 2 / 25
[Product and Sum of no. other then unit digits]

[The 2nd part would be 25 as the sum 7+9=16 is even, if sum is odd , it would have become 75].

step 1→ 7×9 +16÷2 /  25
step 2→ 63+8   /  25
step 3→ 71 /  25
Answer is 7125

Illustration 2 :
175×105

Solution:
Numbers Split as
175 17 / 5
× 105 10 / 5

[Split the numbers keeping the last digit (5) aside]

1st part / 2nd part

Product +Sum ÷ 2 / 75
[Product and Sum of no. other then unit digits]

[The 2nd part would be 75 as the sum 17+10=27 is odd, if sum is even , it would have become 25].

step 1→ 17×10+(27-1)÷2 /  75 (Subtract 1 if sum is odd)
step 2→ 170+13   /  75
step 3→ 183   /  75
Answer is 18375

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