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# Do NOW #4 - PowerPoint PPT Presentation

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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Presentation Transcript
Do NOW #4

Evaluate the following:

Simplify each expression. No negative exponents.

5.5: Negative Exponents & Scientific Notation

Page 297

5.5: Negative Exponents & Scientific Notation

### Negative Exponents and Scientific Notation

Section 5.5

5.5: Negative Exponents & Scientific Notation

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

Simplify

5.5: Negative Exponents & Scientific Notation

Example 2

Simplify

5.5: Negative Exponents & Scientific Notation

Simplify

5.5: Negative Exponents & Scientific Notation

Example 3

Simplify

5.5: Negative Exponents & Scientific Notation

Example 4

Simplify

5.5: Negative Exponents & Scientific Notation

Example 5

Simplify

5.5: Negative Exponents & Scientific Notation

Simplify

5.5: Negative Exponents & Scientific 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

Convert 367,000,000 into Standard Form

How many spots did it go over?

5.5: Negative Exponents & Scientific Notation

Example 7

Convert 20,520,000,000 into Standard Form

5.5: Negative Exponents & Scientific Notation

Convert 80,800,000 into Standard Form

5.5: Negative Exponents & Scientific Notation

Example 8

Convert 0.00000003 into Standard Notation

How many spots did it go over?

5.5: Negative Exponents & Scientific Notation

Convert 0.007358 into Standard Form

5.5: Negative Exponents & Scientific Notation

Example 9

Write into Standard Notation without exponents

5.5: Negative Exponents & Scientific Notation

Example 10

Perform the operation and write each result in standard decimal notation

5.5: Negative Exponents & Scientific Notation

Example 11

Perform the operation and write each result in scientific notation

5.5: Negative Exponents & Scientific Notation

Perform the operation and write each result in standard decimal notation

5.5: Negative Exponents & Scientific Notation

Assignment

Page 327

1-23 odd, 25-61 EOO

5.5: Negative Exponents & Scientific Notation