Question

Evaluate 105×106 without multiplying it directly

Answer 1

Here is the solution :

We can write 105 as (100+5) and
106 as (100+6),

Now let's multiply this without doing actual multiplication,

=> (105)*(106) = (100+5)*(100+6)
=> 10000 + (600+500) + 30
=> 10000 + 1100 + 30,
=> 11130,

So, Therefore the answer is 11130,

Hope you understand, Have a great day !
Thanking you, Bunti 360 !

Answer 2

Question

Evaluate 105 × 106 without multiplying directly.

Identity Used

• ( x + a ) ( x + b ) = x² + ( a + b ) x + ab

Solution

➦ 105 × 106

➦ ( 100 + 5 ) × ( 100 + 6 )

➦ 100² + ( 5 + 6 ) 100 + 5 × 6

➦ 10000 + 11 × 100 + 30

➦ 11130

Hence the value which we get by evaluating 105 × 106 without multiplying is 11130.

Happy Learning!!