Mastering Operations in Scientific Notation: Rules, Examples & Practice Exercises
Learn to perform operations with small numbers in scientific notation and apply rules of exponents. Practice examples and guided exercises provided for comprehensive understanding.
Mastering Operations in Scientific Notation: Rules, Examples & Practice Exercises
E N D
Presentation Transcript
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)
