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Scientific Notation and Powers of Ten

Scientific Notation and Powers of Ten . 7 th grade math. Powers!!. Power is a way to write a multiplication problem. It has two parts: base and an exponent Base (big #) Exponent (tiny #). Base and Exponent. B E Base is the # you multiply. Exponent is how many times you multiply it.

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Scientific Notation and Powers of Ten

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  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.

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