Question

Alea and Carlos are at the beach trying to guess the number of grains of sand. Alea estimates that there are 5* 10^(15) of rains of sand on the beach. Carlos estimates that there are 2* 10^(12) grains of sand. How many times greater is Alea's estimate than Carlos's estimate

Answer 1

Alea's estimate of the number of grains of sand on the beach is 2500 times greater than Carlos's estimate.

Step-by-step explanation:

To find out how many times greater Alea's estimate of the number of grains of sand is than Carlos's estimate, we need to divide Alea's estimate by Carlos's estimate.

Alea's estimate: 5 × 10^15 grains of sand

Carlos's estimate: 2 × 10^12 grains of sand

We divide Alea's estimate by Carlos's estimate:

(5 × 10^15) / (2 × 10^12) = (5/2) × (10^15 / 10^12)

This simplifies to:

(5/2) × 10^3

So, Alea's estimate is 2.5 × 10^3, or 2500 times greater than Carlos's estimate.