Question

Find the product of 48 x 197 ,using suitable properties.

Answer 1

Answer:

48 × 197 = 9456

Step-by-step explanation:

48 × 197

⇒ ( 50 - 2 ) × ( 200 - 3 )

⇒ 50 ( 200 - 3 ) - 2 ( 200 - 3 )

⇒( 10000 - 150 ) - ( 400 + 6 )

⇒ 10000 - 150 - 400 - 6

⇒ 10000 - 550 - 6

⇒ 10000 - 544

⇒ 9456

Properties used :

( a + b ) × ( c + d ) = a × ( c + d ) + b × ( c + d )

Additional Information :

1. ( a + b ) ( a - b ) = a² - b²

2. ( a + b )² = a² + 2ab + b²

3. ( a - b )² = a² - 2ab + b²