Lesson 57
Learning Target: Perform operations with Small Numbers
in Scientific Notation
Warm-up• 25(36)• Find the mean of 30 and 40• 66 2/3 of $300• What is the probability of rolling a number greater
than 1 with one roll of a number cube?• X/24 = 3/8
• Two angles of a parallelogram measure 80o and 80o. What are the measures of the other two angles?
Scientific Notation
•24,000,000 =•0.000064 = •13,000 = •0.00000003 =
Rules of Exponents• Multiply Exponents – –( 35 ) (37) = –(6-3 ) (65 ) =
• Dividing Exponents – –(78 ) / (72 ) =–(9-4 ) / (9-8 ) =
• Raising an Exponent to a power – –(42)5 = –(8-3)2 =
Example 1
• If a sheet of notebook paper is 0.01 cm thick, how tall is a stack of 2500 sheets of notebook paper? Express each number in scientific notation and perform the calculation in scientific notation.
Example 2
• (2.4 X 10-6) (2 X 10-2)
• (2.4 X 10-6) / (2 X 10-2)
• (4 X 10-6) (5 X 10-4)
• (4 X 10-6) / (5 X 10-4)
Guided Practice
• (4 X 1010) (2 X 10-6)
• (1.5 X 10-5) (3 X 10-2)
• (7.5 X 105) / (3 X 10-2)
• (8.1 X 10-4) / (3 X 10-7)
BELL RINGER
• Find the Product.–(3 X 104) (6 X 10-3)
• Find the quotient.–(6 X 10-3) / (3 X 104)
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