WARM UP WRITE THE NUMBER IN DECIMAL FORM 1.5 x 10 9 2.7 x 10 -6
WRITE IN SCIENTIFIC NOTATION 1.99,000 2.0.0004 3
Slide 3
WARM UP WRITE THE NUMBER IN DECIMAL FORM 1.5 x 10 9 2.7 x 10 -6
WRITE IN SCIENTIFIC NOTATION 1.99,000 2.0.0004 2
Slide 4
WARM UP WRITE THE NUMBER IN DECIMAL FORM 1.5 x 10 9 2.7 x 10 -6
WRITE IN SCIENTIFIC NOTATION 1.99,000 2.0.0004 1
Slide 5
WRITE THE NUMBER IN DECIMAL FORM 1.5 x 10 9 2.7 x 10 -6 WRITE
IN SCIENTIFIC NOTATION 1.99,000 2.0.0004 WARM UP 0
Slide 6
8.5 Scientific Notation GOAL Read and write numbers in
scientific notation. KEY WORDS Scientific Notation
Slide 7
8.5 Scientific Notation Scientific notation uses powers of ten
to express decimal numbers. A number is written in scientific
notation if it is of the form: c X 10 n Where 1 < c < 10 (c
is greater than or equal to ONE but less than 10) and n is an
integer.
Slide 8
8.5 Scientific Notation EXAMPLE 3 Operations with Scientific
Notation Perform the indicated operation. Write the result in
Scientific Notation. a.(1.4 x 10 4 )(7.6 x 10 3 ) = (1.4 7.6) x (10
4 10 3 ) =10.64 x 10 7 = (1.064 x 10 1 ) x 10 7 = 1.064 x 10 8 Use
the properties of Multiplication Use product of powers property
Write in scientific notation Use product of powers property
Slide 9
8.5 Scientific Notation Checkpoint Perform the indicated
operation. Write the result in scientific notation. (2.3 x 10 3
)(1.8 x 10 -5 )
Slide 10
8.5 Scientific Notation Write as a product Use quotient of
powers property Write in scientific notation Use product of powers
property
Slide 11
8.5 Scientific Notation
Slide 12
EXAMPLE 3 Operations with Scientific Notation Perform the
indicated operation. Write the result in Scientific Notation. c.(4
x 10 -2 ) 3 = 4 3 x (10 -2 ) 3 = 64 x 10 -6 =(6.4 x 10 1 ) x 10 -6
=6.4 x 10 -5 Use power of a product property Use power of a power
property Write in scientific notation Use product of powers
property
Slide 13
8.5 Scientific Notation Checkpoint Perform the indicated
operation. Write the result in scientific notation. (5 x 10 -4 )
2
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