Converting Large Numbers and Scientific Notation in Real-World Applications

The video tutorial covers the use of scientific notation in various examples. It begins with calculating the number of disintegrations produced by one gram of radium in an hour, using dimensional analysis and a calculator. The second example involves converting parsecs to miles, demonstrating the use of scientific notation in astronomical calculations. The final example calculates the average cost per mile of the Chesapeake Bay Bridge Tunnel, again employing scientific notation. Throughout, the tutorial emphasizes the importance of understanding scientific notation and using calculators effectively.

What is the scientific notation for 37 billion?

• 3.7 x 10^12

• 3.7 x 10^11

• 3.7 x 10^10

• 3.7 x 10^9

How many seconds are there in one hour?

• 1800

• 6000

• 7200

• 3600

What is the result of converting 37 billion disintegrations per second to disintegrations per hour?

• 1.332 x 10^14

• 1.332 x 10^13

• 1.332 x 10^12

• 1.332 x 10^15

How many light years are in one parsec?

• 2.54

• 10.12

• 5.88

• 3.26

What is the scientific notation for one light year in miles?

• 5.88 x 10^14

• 5.88 x 10^13

• 5.88 x 10^11

• 5.88 x 10^12

How many miles are there in 3 parsecs?

• 5.75 x 10^15

• 5.75 x 10^14

• 5.75 x 10^13

• 5.75 x 10^12

What was the construction cost of the Chesapeake Bay Bridge Tunnel in scientific notation?

• 2.1 x 10^10

• 2.1 x 10^7

• 2.1 x 10^8

• 2.1 x 10^9

What is the length of the Chesapeake Bay Bridge Tunnel?

• 17.6 miles

• 20.4 miles

• 18.9 miles

• 15.2 miles

How do you calculate the average cost per mile for the bridge?

• Add total cost to total length

• Multiply total cost by total length

• Divide total cost by total length

• Subtract total length from total cost

What is the average cost per mile for the Chesapeake Bay Bridge Tunnel in scientific notation?

• 1.19 x 10^7

• 1.19 x 10^8

• 1.19 x 10^9

• 1.19 x 10^6