Module 2 Review

Scientific Notation

100

Write the following number in scientific notation:

5,320,000

5.32 x 10⁶

200

Write the following number in scientific notation:

2501

2.501 x 10³

300

Write the following number in scientific  notation:

0.000075

7.5 x 10^-5

400

Write the following number in scientific  notation:

0.000000001

1 x 10^-9

500

Explain why 32.5 x 10¹¹ is not written correctly in scientific notation?

32.5 is not between 1-10

Standard Notation

100

Write the following in standard notation:

2.33 x 10⁶

2,330,000

200

Write the following in standard notation:

5.1 x 10¹²

5,100,000,000,000

300

Write the following in standard notation:

6.13 x 10^-8

613000000

400

Write the following in standard notation:

7.0001 x 10⁴

70001

500

Describe how to write the following in standard notation:

3.25 x 10^-8

Start at the decimal, move LEFT 8 times. 

Adding/Subtracting

100

Add or Subtract. Write your answer in scientific notation.

3.14 x 10³ + 1.2 x 10³

1.94 x 10³

200

Add or Subtract. Write your answer in scientific notation.

5.14 x 10⁵ + 3.16 x 10⁴

5.456 x 10⁵

300

Add or Subtract. Write your answer in scientific notation.

8.4 x 10² + 1.2 x 10³+2.1 x 10²

2.25 x 10³

400

Add or Subtract. Write your answer in scientific notation.

7.84 x 10⁸ - 8.2 x 10⁶ - 5.54 x 10⁷

7.204 x 10⁸

500

There are about a total of 3.1 x 10⁸ population in the USA, 3.38 x 10⁷ in Canada, and 1.1 x 10⁸ in Mexico, What is the total population for these countries. 

The total population for all three is about 4.538 x 10⁸

Multiplying/Dividing

100

Multiply or Divide. Write your answer in scientific notation.

(3.14 x 10³) (1.2 x 10⁶)

3.768 x 10 ⁹

200

 Divide. Write your answer in scientific notation.

(3.2 x 10⁸) / (2 x 10⁶)

1.6 x 10²

300

Multiply or Divide. Write your answer in scientific notation.

(5.24 x 10¹⁰) (2.2 x 10⁶)

1.1528 x 10¹⁷

400

Multiply or Divide. Write your answer in scientific notation.

(1.4 x 10¹²) / (2 x 10⁶)

7.0 x 10⁵

or

7 x 10⁵

500

What is the difference between adding/subtracting with scientific notation and multiplying and dividiing?

When you add/subtract you must match your powers and when you multiply or divide, you don't have to match powers.

Simplify the expression

100

Simplify the following:

5³ * 5⁵

390625

200

Simplify the following:

5² * 5³ - 2⁴

3109

300

Simplify the following:

(5 + 7)³ * (5 -2)⁵ 

419904

400

Simplify the following:

(5 + 8)² * 13³ - 10⁵

271,293

500

Simplify the following:

(5 * 3)² * 3³ - 10

188