Unit 2: Scientific Notation and Exponents

Scientific Notation 1

100

Write in scientific notation: 

6,890,000

6.89 x 10⁶

200

Write in Scientific Notation:

50

5 x 10¹

300

Write in standard form:

7.2000063 x 10⁴

72,000.063

400

(8.2 x 10⁴)(9.1 x 10⁶)

7.462 x 10¹¹

500

(8.4 x 10⁸)/(2.2 x 10⁶)

3.82 x 10²

Scientific Notation 2

100

Write in Scientific Notation:

240,560,000

2.4056 x 10⁸

200

Write in scientific notation:

0.00009804

9.804 x 10^-5

300

Write in standard form:

9.804 x 10^-3

0.009804

400

(4.6 x 10⁸)(2.8 x 10^-2)

1.288 x 10⁷

500

(9 x 10^-4)/(3.5 x 10^-5)

2.57 x 10¹

Exponents 1

100

Simplify:

r^-12

1/r¹²

200

Simplify:

(b⁷)²

b¹⁴

300

Simplify:

f * f * g * g * g * g * f * g

f^3 * g⁵ 

400

Simplify:

(2d²c)⁴

2⁴d⁸c⁴  or  16d⁸c⁴

500

An adult blue whale can eat 4.0 x 10⁷ krill in a day.  At that rate, how many krill can an adult blue whale eat in 3.65 x 10² days?

1.46 x 10¹⁰ krill

Exponents 2

100

Simplify:

m⁵  x m⁸

m¹³

200

Simplify:

x⁵/x

x⁴

300

(-100)⁰

1

400

Simplify:

2x³y^-5 / 8x⁸y²

1 / 4x⁵y⁷

500

The U.S. public debt as of 2010 was $9.06 x 10¹².  What was the average U.S. public debt per American if the population in 2010 was 3.08 x 10⁸ people?

$2.94 x 10⁴ or $29,400