Question

109×50 simplfy without multiply

Answer 1

Answer:

109 × 50 = 100×50 + 9×50 = 5000+450 = 5450☑️☑️☑️

Answer 2

Concept

For any three given real numbers- a, b and c

(a + b) (a + c) = a^2 + ab + ac + bc

Given

109 × 50

Find

we need to simplify the given expression without multiplying it.

Solution

We have

109 × 50

109 can be written as (100 + 9) and 50 can be written as (100 - 50)

Now, applying the (a+b) (a+c) property, we get

(100 + 9) (100 -50)

= 100^2 + 9 * 100 - 50 * 100 - 50 * 9

= 10000 + 900 - 5000 - 450

= 5450

Thus, the value of 109 x 50 is 5450.

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