8th Chapter 3

Writing Scientific Notation

100

700,000,000

7 x 10⁸

200

856.2

8.562 x 10²

300

533,000

5.33 x 10⁵

400

0.0034

3.4 x 10^-3

500

0.00000728

7.28 x 10^-6

Comparing Scientific Numbers

100

3.4 X 10^-1   ______  1.1 x 10^-1

>

200

3.6 x 10^-3 _______ 8.4 x 10^-3

 <

300

8.7 x 10⁶ _______5.9 x 10³

 >

400

4.8 x 10³ __________ 9.6 x 10⁷

<

500

-3.81 x 10² _______-7.34 x10⁹

>

Writing in Standard Form

100

9 x 10⁴

90,000

200

7.36 x 10³

7360

300

2.431 x 10⁴

24,310

400

5.27 x 10^-2

0.00527

500

4.01 x 10^-4

.000401

Adding and Subtracting in Scientific Notation

100

6.9 X 10⁵ + 8.8 X 10⁵ =

6.9 X 10⁵ + 8.8 X 10⁵ = (6.9 + 8.8) x 10⁵  = 1.57 x 10⁶

200

9 x 10⁶ + 1.37 x 10⁷ =

(9 + 13.7) +10⁶ = 22.7 x 10⁶ =2.27 x 10⁷

300

8.8 x 10⁵ - 6.9 x 10⁵ =

8.8 x 10⁵ - 6.9 x 10⁵ = (8.8 - 6.9) x 10⁵ = 1.9 x 10⁵

400

1.37 x 10⁷ - 9 x 10⁶ =

13.7 x 10⁶ - 9 x 10⁶ = (13.7 - 9) x 10⁶ =  4.7 x 10⁶

500

8.1 x 10⁵ - 2.8 x10⁴

7.82 x 10⁵

Multiplying and Dividing Scientific Notation

100

(5 x 10¹ ) x (2.5 x 10¹) =

(5 x 2.5) x (10¹ x 10¹) =(12.5) x (10¹ x 10¹) ⁼ 1.25 x 10¹ x10^{1 x} 10¹ = 1.25 x 10³

200

(1.6 x 10²) x (1.5 x 10²) =

2.4 x (10² x 10²) = 2.4 x 10²⁺² =2.4 x10⁴

300

6.4 x 10²³ ➗ 3.3 x 10²³

6.4/3.3 x 10²³/10²³ = 1.9 x 10^23-23 = 1.9 x 10⁰ =1.9

400

8.45 x 10¹¹ ➗  (1.69 x 10^-8) =

5 x10¹⁹

500

1.8 x 10^-25 ➗  2.7 x 10^-26 =

1.8 /2.7 x 10-25/10-26 =0.67 x 10-25 -(-26) = 0.67 x 10 = 6.7