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.

Example 5 3 = 5 x 5 x 5= = 6 x 6 x 6 x 6= 1296

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

Examples w/ exponent of 0 Anytime zero is your exponent, your answer is = = 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 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)

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.

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 = (you moved the decimal 5 places left) 4.8 x 10 5 = (you moved the decimal 5 places left) 7.29 x = (you moved the decimal 4 places left)

Negative Powers Writing numbers in scientific notation…..0028= 2.8 x –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.