1. Scientific Notation and Powers of Ten 7 th 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 B E Base is the # you multiply. Exponent is how many times you multiply it.

4. Example 5 3 = 5 x 5 x 5= 125 6 4 = 6 x 6 x 6 x 6= 1296

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

6. Examples w/ exponent of 0 Anytime zero is your exponent, your answer is 1. 5 0 = 1 758 0 = 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 10 5 = 4,800,000 (you moved the decimal 5 places right) 48 x 10 5 = 4,800,000 (you moved the decimal 5 places right) 7.29 x 10 4 = 72,900 (you moved the decimal 4 places right)

9. Power of Ten Writing numbers in scientific notation…. 428,000= 4.28 x 10 5 –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 10 5 =.000048 (you moved the decimal 5 places left) 4.8 x 10 5 =.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.