Scientific notation examples | Pre-Algebra | Khan Academy | Summary and Q&A

TL;DR

This video provides multiple examples of writing numbers in scientific notation and demonstrates computation with scientific notation.

Key Insights

• 😑 Scientific notation provides a compact and convenient way to express very large or very small numbers.
• 🪈 The exponent in scientific notation indicates the order of magnitude of the number.
• 🥳 Multiplication and division with numbers in scientific notation require manipulating the numerical parts and adding or subtracting the exponents.

Transcript

It always helps me to see a lot of examples of something so I figured it wouldn't hurt to do more scientific notation examples. So I'm just going to write a bunch of numbers and then write them in scientific notation. And hopefully this'll cover almost every case you'll ever see and then at the end of this video, we'll actually do some computation ... Read More

Questions & Answers

Q: How do you write a number in scientific notation?

To write a number in scientific notation, identify the largest non-zero term and count the number of positions to the right of the decimal point.

Q: What is the significance of the exponent in scientific notation?

The exponent represents the number of positions the decimal point needs to be shifted to convert the number into standard form.

Q: How do you multiply numbers in scientific notation?

To multiply numbers in scientific notation, multiply the numerical parts of the numbers and add the exponents.

Q: How do you divide numbers in scientific notation?

To divide numbers in scientific notation, divide the numerical parts of the numbers and subtract the exponents.

Summary & Key Takeaways

• The video introduces various numbers and demonstrates how to write them in scientific notation.

• The process involves identifying the largest non-zero term and counting the number of positions to the right of the decimal point.

• Computation examples are shown, including multiplication and division of numbers in scientific notation.