exponents and scientific notation

integer exponents

200

256 0

1

300

10 2

100

400

5 4 

625

500

89 0

1 

1000

4 -5

1/1024

scientific notation with positive powers of 10

200

1 x 10 5

100000

300

2 x 10 8

200000000

400

1.23 × 10 5

123,000

500

4.2 x 10 7

42,000,000

1000

6.76 x 10 11

676,000,000,000

scientific notation with negative powers of 10

200

1 x 10 -1

0.1

300

2 x 10 -5

0.00002

400

2.97 x 10 -2 

0.0297

500

7.8 x 10 -7

0.00000078

1000

3.56 x 10 -13

0.000000000000000

operations with scientific notation

200

( 1.8 x 10 9)( 6.7 x 10 12 )

1.206 x 10 22

300

(5 x 10 12)(3.36 x 10 6)

1.69 x 10 19 

400

3.46 x 10 17/2 x 10 9

1.73 x 10 8

500

8.4 x 10 21/4.2 x 10 14 

2.0 x 10 7

1000

7.6E-4 

7.6 x 10 -4 

scientific natation in the real world

200

Population of the world is around 7 billion written out as 7,000,000,000

7 x 10 9

300

Approximate speed of light is 1080 million km per hour or 1,080,000,000 km per hour

1.08 x 10 9

400

Distance from the Earth to the moon is 240 thousand miles or 240,000 miles

2.4 x 10 5

500

Distance from the Earth to the sun is 93 million miles or 93,000,000 miles

9.3 x 10 7

1000

Mass of an electron is 0.00000000000000000000000000000091093822 kg

9.1093822 × 10 -31