Scientific Notation

Product Rule

100

when you multiply, the exponents _____

add

200

(3.4x10⁴)(2.6x10^-8)

8.84x10^-4

300

(3.2x10^-2)(2.7x10^-9)

8.64x10^-11

400

(8.2x10⁶)(7x10^-3)

5.74x10⁴

500

(5.2x10^-5)(7.6x10^-4)

3.952x10^-8

Quotient Rule

100

when you divide, the exponents _____

subtract

200

9.6x10⁷

--------------

1.5x10^-11

6.4x10¹⁸

300

9.6x10⁸

--------------

1.5x10^-7

6.4x10¹⁵

400

4.8x10^-5

--------------

8x10^-9

6x10³

500

5.4x10^-9

--------------

9x10⁵

6x10^-15

Std --> SCI

100

to show a number in scientific notation, how would you write the proper format if you had 3 as a number and -2 as the power?

3 x 10^-2

200

Write this number in SCI: 2390

2.39x10³

300

Write this number in SCI: 0.037

3.7x10^-2

400

Write this number in SCI: 143,000,000

1.43x10⁸

500

Write this number in SCI: 0.00000589

5.89x10^-6

SCI --> Std

100

Scientific Notation uses numbers __ through __ only

1-9 (or 1-9.9)

200

Write this number in Std form:4.7x10⁴

47,000

300

Write this number in Std form: 3.81x10^-4

0.000381

400

Write this number in Std form: 3.93x10⁶

3,390,000

500

Write this number in Std form: 9.14x10^-6

0.00000914

Compound units

100

If you ride your bike at 28.8 km/h, how many km would you have traveled after 5 hours?

144 km

200

If you fall at 198 ft/s, how much distance (ft) would you have covered after 20 seconds?

3960 ft

300

8 m/s = ? km/h

28.8 km/h

400

171 km/h = ? m/s

47.5 m/s

500

99 mi/h = ? ft/s

(1 mile = 5280 ft)

145.2 ft/s