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Do NOW #4. Evaluate the following: Simplify each expression. No negative exponents. Page 297. Negative Exponents and Scientific Notation. Section 5.5. Negative Power Property. Saying goes: DROP AND SWAP If there is a negative exponent, move it to the opposite sign and swap the sign.

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do now 4
Do NOW #4

Evaluate the following:

Simplify each expression. No negative exponents.

5.5: Negative Exponents & Scientific Notation

page 297
Page 297

5.5: Negative Exponents & Scientific Notation

negative exponents and scientific notation

Negative Exponents and Scientific Notation

Section 5.5

5.5: Negative Exponents & Scientific Notation

negative power property
Negative Power Property
  • Saying goes:DROP AND SWAP

If there is a negative exponent, move it to the opposite sign and swap the sign

5.5: Negative Exponents & Scientific Notation

example 1
Example 1

Simplify

5.5: Negative Exponents & Scientific Notation

example 2
Example 2

Simplify

5.5: Negative Exponents & Scientific Notation

your turn
Your Turn

Simplify

5.5: Negative Exponents & Scientific Notation

example 3
Example 3

Simplify

5.5: Negative Exponents & Scientific Notation

example 4
Example 4

Simplify

5.5: Negative Exponents & Scientific Notation

example 5
Example 5

Simplify

5.5: Negative Exponents & Scientific Notation

your turn1
Your Turn

Simplify

5.5: Negative Exponents & Scientific Notation

scientific and standard notation
Scientific and Standard Notation
  • Move the decimal point in the original number to the left or right so that the new number has a value between 1 and 10
  • Count the number of decimals moved. If the number is 10 or greater, the count is positive. If the number is less than 1, the count is negative
  • Multiply the number by 10 raised to an exponent

DECIMAL POINT goes to the LEFT: EXPONENT is POSITIVE

DECIMAL POINT goes to the RIGHT: EXPONENT is NEGATIVE

5.5: Negative Exponents & Scientific Notation

example 6
Example 6

Convert 367,000,000 into Standard Form

How many spots did it go over?

5.5: Negative Exponents & Scientific Notation

example 7
Example 7

Convert 20,520,000,000 into Standard Form

5.5: Negative Exponents & Scientific Notation

your turn2
Your Turn

Convert 80,800,000 into Standard Form

5.5: Negative Exponents & Scientific Notation

example 8
Example 8

Convert 0.00000003 into Standard Notation

How many spots did it go over?

5.5: Negative Exponents & Scientific Notation

your turn3
Your Turn

Convert 0.007358 into Standard Form

5.5: Negative Exponents & Scientific Notation

example 9
Example 9

Write into Standard Notation without exponents

5.5: Negative Exponents & Scientific Notation

example 10
Example 10

Perform the operation and write each result in standard decimal notation

5.5: Negative Exponents & Scientific Notation

example 11
Example 11

Perform the operation and write each result in scientific notation

5.5: Negative Exponents & Scientific Notation

your turn4
Your Turn

Perform the operation and write each result in standard decimal notation

5.5: Negative Exponents & Scientific Notation

assignment
Assignment

Page 327

1-23 odd, 25-61 EOO

5.5: Negative Exponents & Scientific Notation