Converting to Scientific Notation

TL;DR

Learn how to convert between standard form and scientific notation by moving the decimal place and understanding powers of 10.

Transcript

standard form and scientific notation the two ways of writing exactly the same number an example of this is a number like 470,000 this number can also be written in scientific notation as 4.7 * 10 to the 5 now it's very important that you're able to convert between these two ways of writing numbers and it is quite an easy thing to do the first thin... Read More

Key Insights

• 💁 Standard form and scientific notation are writing forms for the same number.
• ✊ Converting between the two involves moving the decimal place and understanding powers of 10.
• 👻 Moving the decimal place allows for easy conversion between standard form and scientific notation.

Questions & Answers

Q: What is the difference between standard form and scientific notation?

Standard form allows for writing a number as a regular decimal, while scientific notation represents the number using a power of 10 and a decimal form between 1 and 10.

Q: How can I convert a number from standard form to scientific notation?

To convert from standard form to scientific notation, determine the power of 10 you wish to use, and move the decimal place in the original number accordingly.

Q: What is the process for converting a number from scientific notation to standard form?

To convert from scientific notation to standard form, move the decimal place in the coefficient of the number the number of times indicated by the power of 10.

Q: How can I remember which way to move the decimal place when converting a number to scientific notation?

You can remember the direction to move the decimal place by using a number line. Positive powers of 10 indicate moving the decimal to the right, while negative powers of 10 indicate moving the decimal to the left.

Summary & Key Takeaways

• Standard form and scientific notation are two ways of writing the same number, with scientific notation using powers of 10.

• To convert from scientific notation to standard form, move the decimal place to the right the number of times indicated by the power of 10.

• To convert from standard form to scientific notation, determine the number of times the decimal place needs to be moved to achieve the desired power of 10.