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)