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  • EXAMPLE 4 Multiplying Numbers in Scientific Notation Find the product (4.5 10 3 ) (6.3 10 7 ). = 4.5...
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EXAMPLE 4 Multiplying Numbers in Scientific Notation Find the product (4.5 10 3 ) (6.3 10 7 ). 5 10 3 ) (6.3 10 7 ). 4.5 6.3 10 3 10 7 (4.5 6.3) (10 3 10 7 ) = = 28.35 10 10 = 2.835 10 1 10 10 2.835 10 11 = Product of powers property Write 28.35 in scientific notation. Product of powers property Commutative property of multiplication Associative property of multiplication

EXAMPLE 4 Multiplying Numbers in Scientific Notation Find the product (4.5 10 3 ) (6.3 10 7 ). = 4.5 6.3 10 3 10 7 (4.5 6.3) (10 3 10 7 ) = = 28.35 10

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Page 1: EXAMPLE 4 Multiplying Numbers in Scientific Notation Find the product (4.5 10 3 ) (6.3 10 7 ). = 4.5 6.3 10 3 10 7 (4.5 6.3) (10 3 10 7 ) = = 28.35 10

EXAMPLE 4 Multiplying Numbers in Scientific Notation

Find the product (4.5 103) (6.3 107).

(4.5 103) (6.3 107).

= 4.5 6.3 103 107

(4.5 6.3) (103 107)=

= 28.35 1010

= 2.835 101 1010

2.835 1011=

Product of powers property

Write 28.35 in scientific notation.

Product of powers property

Commutative property ofmultiplication

Associative property ofmultiplication

Page 2: EXAMPLE 4 Multiplying Numbers in Scientific Notation Find the product (4.5 10 3 ) (6.3 10 7 ). = 4.5 6.3 10 3 10 7 (4.5 6.3) (10 3 10 7 ) = = 28.35 10

GUIDED PRACTICE for Example 4

Write the product in scientific notation

(1.25 106) (7.6 1012)17.

= 9.5 1018

Page 3: EXAMPLE 4 Multiplying Numbers in Scientific Notation Find the product (4.5 10 3 ) (6.3 10 7 ). = 4.5 6.3 10 3 10 7 (4.5 6.3) (10 3 10 7 ) = = 28.35 10

GUIDED PRACTICE for Example 4

Write the product in scientific notation

4.52 1011=

18. (8 106) (5.65 104)


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