Pre-Algebra Chapter 2 Review

Standard to Scientific

100

Write in scientific notation:

200

2 x 10²

200

Write in scientific notation:

3,100

3.1 x 10³

300

Write in scientific notation:

0.0024

2.4 x 10^-3

400

Write in scientific notation:

506,700,000

5.067 x 10⁸

500

Write in scientific notation:

0.0003006

3.006 x 10^-4

Scientific to Standard

100

Write in standard form:

3 x 10²

300

200

Write in standard form:

8 x 10⁰

8

300

Write in standard form:

6.4 x 10³

6,400

400

Write in standard form:

4.03 x 10^-2

0.0403

500

Write in standard form:

9.008 x 10⁶

9,008,000

Multiplication

100

Multiply the numbers in scientific notation:

(1 x 10²) x (2 x 10³)

2 x 10⁵

200

Multiply the numbers in scientific notation:

(3 x 10⁵) x (2 x 10⁴)

6 x 10⁹

300

Multiply the numbers in scientific notation:

(4 x 10³) x (3 x 10^-1)

1.2 x 10³

400

Multiply the numbers in scientific notation:

(5 x 10²) x (6 x 10⁶)

3 x 10⁹

500

Multiply the numbers in scientific notation:

(7 x 10⁷) x (3 x 10^-3)

2.1 x 10⁵

Division

100

Divide the numbers in scientific notation:

(6 x 10³) / (2 x 10²)

3 x 10¹ (or 3 x 10)

200

Divide the numbers in scientific notation:

(8 x 10⁶) / (4 x 10^-2)

2 x 10⁸

300

Divide the numbers in scientific notation:

(1.2 x 10⁴) / (6 x 10²)

2 x 10¹ (or 2 x 10)

400

Divide the numbers in scientific notation:

(2.8 x 10⁹) /(7 x 10³)

4 x 10⁵

500

(1.25 x 10¹¹) / (5 x 10³)

2.5 x 10⁷

Exponent Operations

100

Write using a single exponent.

5⁴  x  5²

5⁶

200

Write using a single exponent.

a³ x a⁵

a⁸

300

Write using a single exponent.

a⁷ x a x a³

a¹¹

400

Write using a single exponent.

5⁴ / 5²

5²

500

Write using a single exponent.

m¹² / m⁷

m⁵