 # Examples using Scientific Notation

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Examples, solutions, videos, worksheets, and lessons to help Grade 7 students learn about using scientific notation.
In this lesson, we will learn how to multiply and divide in scientific notation and how scientific notations can be used in some real world applications and examples.

The following diagram shows how to multiply and divide in scientific notation. Scroll down the page for more examples and solutions for multiplication and division in scientific notation. Multiplication and Division in Scientific Notation

Applications using Scientific Notation
Examples:
1) Suppose a state has a \$31 billion budget for K-12 schools. If that money is dispersed among 292 school districts throughout the state, how much money will each school district receive?
2) According to a 2013 report from the U.S. Bureau of Justice Statistics, approximately 2.2 million Americans are incarcerated in local jails and state and federal prisons. If it costs \$25,000 to house each inmate for a year, how much is U.S. spending on incarcerations yearly?
3) It is estimated that a single droplet from a sneeze can contain as many as 200 million germs. If a sneeze is composed of 40,000 of these droplets, how many germs are in a single sneeze?
4) According to its website, Lucas Oil Stadium in Indianapolis holds approximately 70,000 spectators. How many stadiums would it take to hold the entire U.S. population?
5) Recently, a meme on social media was divvying lottery winnings among everyon in the country. If the jackpot was \$1.3 billion and the meme estimated a population of 300 million people, hoe much money would each person "win"?

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.  