Unit 2 Review

Standard form to Scientific Notation

100

Convert the following to scientific notation:

.000067

6.7x10⁻⁵

200

Convert the following to scientific notation:

17900

1.79x10⁴

300

Convert the following to scientific notation:

.078

7.8x10⁻²

400

Convert the following to scientific notation:

978

9.78x10²

500

Convert the following to scientific notation:

.770

7.7x10¹

Scientific Notation to Standard Form

100

Convert to standard form:

4.2x10²

420

200

Convert to standard form:

.167x10⁵

16700

300

Convert to standard form:

2.89x10⁻³

.00289

400

Convert to standard form:

9.99x10⁹

9999999999

500

Convert to standard form:

1.54x10⁻¹

.154

Exponent Rules

100

5³x5⁴=

5⁷

200

(7⁻⁴)⁵=

7⁻²⁰

300

2⁸÷2⁷=

2¹

400

6⁰=

1

500

3⁴x5⁴=

15⁴

Estimating large and small numbers

100

Which of the following numbers is larger?

2x10⁸

4x10³

2x10⁸

200

Which of the following numbers is larger?

5x10⁻²

9x10⁻⁹

5x10⁻²

300

How much larger is 16x10⁸ than 4x10⁸?

About 4 times larger 

400

How much larger is 42x10⁸ than 7x10⁷?

About 60 times larger

500

Which number is larger? How many times larger? 60x10⁵ 

6x10³

60x10⁵ is 1000 times larger

Operations with Scientific Notation

100

(4.2x10⁵)(2x10²)=

8.4x10⁷

200

(6.4x10¹⁰)÷(2x10⁵)=

3.2x10⁵

300

(5.2x10⁷)+(4.3x10⁶)

5.63x10⁷

400

(9.3x10⁴)-(2.34x10²)=

9.27x10⁴

500

(3.4x10⁴)+(2.7x10⁴)=

6.1x10⁴