1 / 11

Demystifying Scientific Notation and Powers of Ten in 7th Grade Math

Understand the concept of powers, base, and exponents. Learn how to apply powers of ten and scientific notation. Practice examples with different exponents, including those with negative powers. Enhance your math skills with clear explanations and exercises.

vicky
Télécharger la présentation

Demystifying Scientific Notation and Powers of Ten in 7th Grade Math

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Scientific Notationand Powers of Ten 7th grade math

  2. Powers!! • Power is a way to write a multiplication problem. • It has two parts: base and an exponent • Base (big #) • Exponent (tiny #)

  3. Base and Exponent BE Base is the # you multiply. Exponent is how many times you multiply it.

  4. Example • 53 = 5 x 5 x 5= 125 • 64 = 6 x 6 x 6 x 6= 1296

  5. Examples w/ exponent of 1 • Anytime 1 is your exponent, the base remains the same… • 61 = 6 • 2151= 215

  6. Examples w/ exponent of 0 • Anytime zero is your exponent, your answer is 1. • 50= 1 • 7580 = 1

  7. Power of Ten • Vocabulary: • Standard form: traditional (normal) way to write numbers • Scientific Notation: shorthand “sciency” way to write numbers

  8. Power of Ten • When you have a problem that uses a power of ten, then you will move the decimal right that many places… • Example: 48 x 105= 4,800,000 (you moved the decimal 5 places right) 7.29 x 104= 72,900 (you moved the decimal 4 places right)

  9. Power of Ten • Writing numbers in scientific notation…. • 428,000= 4.28 x 105 • Why? ---- You move the decimal so that 1 non zero number is in the ones spot and count how many places you had to move it--- that number becomes your exponent.

  10. Negative Powers • When you have a problem that uses a negative power of ten, then you will move the decimal left that many places… • Example: 4.8 x 105= .000048 (you moved the decimal 5 places left) 7.29 x 10-4= .000729 (you moved the decimal 4 places left)

  11. Negative Powers • Writing numbers in scientific notation…. • .0028= 2.8 x 10-3 • Why? ---- You move the decimal so that 1 non zero number is in the ones spot and count how many places you had to move it--- that number becomes your exponent.

More Related