Download presentation

Presentation is loading. Please wait.

Published byTheodora May Modified over 6 years ago

1
Scientific Notation February 26, 2014 Pages 512-514

2
4.259 10 7 1. 42,590,000 = 2.0.0000574=5.74 10 -5 Move decimal point 7 places to the left. Exponent is 7. Move decimal point 5 places to the right. Exponent is – 5. Write the number in scientific notation. 3. 539,000 5.39 10 5 = Move decimal point 5 places to the left. Exponent is 5.

3
4. 2.0075 10 6 Exponent is 6. Move decimal point 6 places to the right. 5. 1.685 10 -4 Exponent is – 4. Move decimal point 4 places to the left. = 2,007,500 =0.0001685 Write the number in standard form. 4.5 10 – 4 =0.00045 Exponent is – 4. Move decimal point 4 places to the left. 6.

4
SOLUTION STEP 1 Write each number in standard form. 7. Order 103,400,000, 7.8 10, and 80,760,000 from least to greatest. 8 7.8 x 10 8 = 780,000,000 STEP 2 Write in order from least to greatest. STEP 3 Write the original numbers in order from least to greatest. 80,760,000; 103,400,000; 7.8 10 8 80,760,000; 103,400,000; 780,000,000

5
Evaluate the expression. Write your answer in scientific notation. 8. (8.5 10 2 )(1.7 10 6 ) (8.5 1.7) (10 2+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

6
9. (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 10 3 10. (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

7
SOLUTION STEP 1 Write each number in standard form. Order 2.7 × 10 5, 3.401 × 10 4, and 27,500 from least to greatest. 11. 2.75 × 10 5 = 275,000; 3.401 x 10 4 = 34,010 STEP 2 Write in order from least to greatest. 27,500; 34,010; 275,000 STEP 3 Write the original numbers in order from least to greatest. 27,500; 3.401 × 10 4, and 2.7 × 10 5

8
Evaluate the expression. Write your answer in scientific notation. 12. (1.3 10 5 ) – 2 2 (10 5 ) – = 1.3 2 10 – = 1.69 Power of a product property Power of a power property 10 2 13. 4.5 10 5 – 1.5 = 10 2 – 4.5 1.5 10 5 Product rule for fractions 10 7 = 3 Quotient of powers property 14. (1.1 10 7 ) (1.7 10 2 ) 4.62 10 9 = Commutative property and associative property Product of powers property (1.1 1.7) (10 7 10 2 )=

9
HOMEWORK Page 515, #4-38 even

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google