Question

Using a suitable identity and without multiplying directly, find the value of (0.99)x(1.01).

Answer 1

Given:

(0.99)x(1.01)

To find:

The value of the given expression without direct multiplication.

Solution:

(0.99)x(1.01)

We can write the given expression as:

(1-0.01)(1+0.01)

As we know the identity:

(a-b)(a+b) = a² - b²

where a is 1 and b is 0.01

so we get:

• 1² - (0.01)²
• 1 - 0.0001
• 0.9999

Value of the given expression (0.99)x(1.01) is 0.9999

Answer 2

Answer:

Value of the given expression (0.99)x(1.01) is 0.9999