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.(
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.