Scientific Notation and Powers of Ten Powers Power

Scientific Notation and Powers of Ten

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.

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

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

Examples w/ exponent of 0 Anytime zero is your exponent, your answer is 1. 5 0= 1 7580 = 1

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

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)

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.

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)

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.