Question

Add 1.5 x 10⁷ to 2.7 x 10⁹

a)2.715 x 10⁹
b)2.715 x 10⁷
c)1.527 x 10⁹
d)1.527 x 10⁷

Answer 1

To add 1.5 x 10⁷ to 2.7 x 10⁹, adjust 1.5 x 10⁷ to 0.015 x 10⁹, and then add it to 2.7 x 10⁹ to get 2.715 x 10⁹, which is option a). This matches option a) 2.715 x 10⁹.

Step-by-step explanation:

The content loaded question requires us to add two numbers in scientific notation: 1.5 x 10⁷ and 2.7 x 10⁹. To solve this, we should first recognize that the exponents are different. We need to have the same base of 10 with the same power, so we should adjust the smaller exponent (10⁷) to match the larger one (10⁹).

We can do this by writing 1.5 x 10⁷ as 0.015 x 10⁹ (by moving the decimal place two spots to the left to compensate for the increase in the exponent from 7 to 9).

Next, we add the new values:

2.7 x 10⁹ + 0.015 x 10⁹ = (2.7 + 0.015) x 10⁹ = 2.715 x 10⁹

This matches option a) 2.715 x 10⁹.