Question

A dust particle weighs 7.42 × 10-10 kilograms. What is the weight of 5 × 106 dust particles represented in scientific notation?

Answer 1

To find the weight of 5 x 10⁶ dust particles, multiply the weight of one dust particle by 5 x 10⁶. In this case, the weight of one dust particle is 7.42 x 10⁻¹⁰ kg, so the weight of 5 x 10^⁶ dust particles is 3.71 x 10⁻³ kg.

Step-by-step explanation:

To find the weight of 5 x 106 dust particles, we need to multiply the weight of one dust particle by 5 x 10⁶. The weight of one dust particle is 7.42 x 10-10 kilograms. So, multiplying 7.42 x 10⁻¹⁰ by 5 x 10⁶ gives us 3.71 x 10⁻³ kilograms. This is the weight of 5 x 106 dust particles represented in scientific notation.

Answer 2

A dust particle weighs 7.42 × 10-10 kilograms.

Weight of 5 × 106 dust particles = 5 × 10^6 x 7.42 x 10^(-10)

= 5 x 7.42 x 10^(6-10)

= 37.1 x 10^(-4)

= 3.71 x 10^(-3) kilograms