Download presentation

Presentation is loading. Please wait.

Published byKody Bott Modified over 3 years ago

1
Order numbers in scientific notation EXAMPLE 3 SOLUTION STEP 1 Write each number in scientific notation, if necessary. 103,400,000 = 1.034 10 8 80,760,000 = 8.076 10 7 Order 103,400,000, 7.8 10 8, and 80,760,000 from least to greatest.

2
Order numbers in scientific notation EXAMPLE 3 STEP 2 Order the numbers. First order the numbers with different powers of 10. Then order the numbers with the same power of 10. Because 10 7 < 10 8, you know that 8.076 10 7 is less than both 1.034 10 8 and 7.8 10 8. Because 1.034 < 7.8, you know that 1.034 10 8 is less than 7.8 10 8. So, 8.076 10 7 < 1.034 10 8 < 7.8 10 8.

3
Order numbers in scientific notation EXAMPLE 3 STEP 3 Write the original numbers in order from least to greatest. 80,760,000; 103,400,000; 7.8 10 8

4
Compute with numbers in scientific notation EXAMPLE 4 Evaluate the expression. Write your answer in scientific notation. a. (8.5 10 2 )(1.7 10 6 ) (8.5 1.7) (10 2 10 6 )= 14.45 10 8 = (1.445 10 1 ) = 10 8 1.445 (10 1 ) = 10 8 Commutative property and associative property Product of powers property Write 14.45 in scientific notation. Associative property 1.445 10 9 = Product of powers property

5
Compute with numbers in scientific notation EXAMPLE 4 b. (1.5 10 3 ) – 2 (10 3 ) – 2 = 1.5 2 (10 6 ) – = 2.25 Power of a product property Power of a power property 103 c. 1.2 10 4 1.6 = 10 3 – 1.2 1.6 10 4 Product rule for fractions (10 7 ) = 0.75 (7.5 10 1 ) – = 10 7 7.5 (10 1 – = 10 7 ) (10 6 ) = 7.5 Quotient of powers property Write 0.75 in scientific notation. Associative property Product of powers property

6
GUIDED PRACTICE for Examples 3 and 4 Order 2.7 10 5, 3.401 10 4, and 27,500 from least to greatest. 2. ANSWER 27,500; 3.401 10 4, and 2.7 10 5

7
GUIDED PRACTICE for Examples 3 and 4 Evaluate the expression. Write your answer in scientific notation. 3. (1.3 10 5 ) – 2 (10 10 ) – = 1.69 10 2 4. 4.5 10 5 – 1.5 10 7 = 3 5. (1.1 10 7 ) (4.2 10 2 ) 4.62 10 9 =

Similar presentations

OK

Scientific Notation N SPI 0806.2.3 Use scientific notation to compute products and quotients.

Scientific Notation N SPI 0806.2.3 Use scientific notation to compute products and quotients.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on art of war 2 Ppt on my sweet home Ppt on dry cell and wet cell batteries Ppt on brand marketing companies Ppt on reliance mutual fund Ppt on abs system in bikes Ppt on nature and history of democracy in nepal how to share Ppt on railway track maintenance Ppt on unity in diversity Ppt on hero honda company