Question

apply your knowledge of operations with scientific notation to answer 11 - 12. 11. a top nba player can earn about 2.5 x 10^7 dollars each year. if john earns $40,000 per year at his starting job out of college, how many times greater is the nba players salary? 12. if kellys heart beats an average of 1 x 10^2 times per minute, about how many times does kellys heart beat in a year? (hint: 1 year is 525,600 minutes.) scientific:__ standard: scientific: standard:__ summarize todays lesson:

Explanation:

Step1: Convert John's salary to scientific - notation

John's salary is $40000 = 4\times10^{4}$ dollars. The NBA player's salary is $2.5\times 10^{7}$ dollars.

Step2: Calculate the ratio

To find out how many times greater the NBA player's salary is, we divide the NBA player's salary by John's salary: $\frac{2.5\times 10^{7}}{4\times 10^{4}}=\frac{2.5}{4}\times10^{7 - 4}=0.625\times 10^{3}=6.25\times 10^{2}$.

Step3: For Kelly's heart - beats

Kelly's heart beats at a rate of $1\times 10^{2}$ times per minute. There are 525600 minutes in a year. In scientific notation, $525600 = 5.256\times 10^{5}$ minutes.

Step4: Calculate the total number of heart - beats in a year

The total number of heart - beats in a year is $(1\times 10^{2})\times(5.256\times 10^{5})=(1\times5.256)\times10^{2 + 5}=5.256\times 10^{7}$ times. In standard notation, it is 52560000 times.

Answer:

1. Scientific: $6.25\times 10^{2}$, Standard: 625
2. Scientific: $5.256\times 10^{7}$, Standard: 52560000