Question

using the identity, find the value of (0.999)²​

Answer 1

To find :

Value of (0.999)² by using identity.

Identity used :

• (a-b)² = a² + b² - 2ab

Solution :

We can write , (0.999) as 1 - 0.001

➝ (0.999)² = ( 1 - 0.001 )²

➩ (0.999)² = (1)² + (0.001)² - (2)(1)(0.001)

➩ (0.999)² = 1 + 0.000001 - 0.002

➩ (0.999)² = 1.000001 - 0.002

➩ (0.999)² = 0.980001

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ANSWER : 0.980001