Exponents

Multiplication

100

(1.44 x 10¹¹) x (3.5 x 10²)

5.04 x 10¹⁵

200

(8.9 x 10⁷) x (9.8 x 10¹⁰)

8.722 x 10¹⁸

300

(6.3 x 10³¹) x (3.5 x 10¹³)

2.205 x 10⁴⁵

400

(2.2 x 10²) x (4.55 x 10¹²)

1.001 x 10¹⁵

500

(2.74 x 10¹¹)(3.2 x 10^-5)

8.768 x 10⁶

Division

100

(4.84 * 10^11) / (8.8 * 10^4)

5.5 x 10⁶

200

(2.66 * 10^13) / (9.5 * 10^5) 

2.8 x 10⁷

300

(2.21 * 10^9) / (2.6 * 10^3)

8.5 x 10⁵ 

400

(2.24 * 10^10) /(5.5 * 10^4)

4.4 x 10⁵ 

500

(5.82 * 10^-11) / (8.96 * 10^11)

= 6.496 x 10^-23

Addition

100

(1.2 x 10⁹) + (7.77 x 10¹²)

7.7712 x 10¹²

200

(6.52 x 10¹¹) + (8.08 x 10¹¹)

1.46 x 10¹²

300

(5.97 x 10²⁴) + (7.35 x 10²²)

6.0435 X 10²⁴

400

(5.3 x 10⁷) + (8 x 10⁵)

5.38 x 10⁷

500

(9 x 10³) + (2.3 x 10⁴⁾ 

3.2 x 10⁴

Subtraction

100

(1.02 x 10²⁶) - (4.87 x 10²⁴)

(9.713 x 10²⁵)

200

(5.01 x 10³³⁾ - (4.1 x 10³²)

(4.6 x 10³³)

300

(3.2 X 10¹⁷) - (2.5 X 10¹⁶⁾

(2.95 x 10¹⁶)

400

(9.1 x 10^-5) - (4.9 x 10^-4)

-3.99 x 10^-4

500

(9 x 10⁷) - (5.54 x 10⁴)

8.994 x 10⁷

Mix and Match

100

Write this number in scientific notation: 

0.000858

8.58 x 10^-3

200

Write this number in standard notation: 

1.33 x 10^-5

0.0000133

300

The distance from the Earth to the sun is about 9.2 x 10⁷ miles. Is this distance closer to 10,000,000 miles or to 100,000,000 miles? Why? 

100,000,000 miles because 9.3 x 10⁷ is closer to 10⁸ than to 10^7.

400

Write this number in standard notation: 

5.59 x 10⁵

559,000

500

The diameter of a human red blood cell ranges from approximately 6 x 10^-6 to 8 x 10^-6 meters. What is the range in scientific notation? 

0.000006 to 0.000008