The average human heart beats about 3.5×10^7 times per year. The current population of Massachusetts is about 7×10^6 people. About how many heartbeats occur in Massachusetts per year? Write the answer in scientific notation. Express the answer to the exact decimal place.(

1 answer

To calculate the total number of heartbeats in Massachusetts per year, we can multiply the number of heartbeats per person by the population of Massachusetts.

Total number of heartbeats = (number of heartbeats per person) × (population of Massachusetts)

= (3.5 × 10^7) × (7 × 10^6)

When multiplying numbers in scientific notation, we add the exponents and multiply the coefficients:

= (3.5 × 7) × (10^7 × 10^6)

= 24.5 × 10^(7+6)

= 24.5 × 10^13

Therefore, the total number of heartbeats in Massachusetts per year is 2.45 × 10^14.