GLA Math Module 1 Review

Scientific Notation

100

What are the requirements for a number to be a leading digit? 

1<a<10

200

Write 3000 in scientific notation.

3 x 10³

300

Is 12.3 x 10⁴ in scientific notation? Why or why not? 

No, because a is greater than 10

400

Write 16 000 000 000 000 in scientific notation. 

1.6 x 10¹³

500

Write 0.000 005 46 in scientific notation. 

5.46 x 10^-6

Laws of Exponents

100

Simplify 8⁵ x 8⁸.

8¹³

200

Simplify 21⁴⁵ / 21²¹

21²⁴

300

Simplify (4⁴)³

4¹²

400

Simplify 12^-6

1 / 12⁶

500

Simplify x⁴yz^-9

x⁴y / z⁹

Powers of 10

100

Complete the following statement.  

Powers of ten have a base of ______. 

10

200

Write 1 000 000 as a power of 10. 

10⁶

300

Write 10¹² in standard notation.

1 000 000 000 000 

400

Solve 833 x 10⁶

833 000 000 (833 million)

500

Solve 10^-3 and write as a decimal. 

0.001

Comparing Numbers

100

Which number is greater?  

8 x 10⁵ or 5 x 10¹⁰

5 x 10¹⁰

200

Compare 10⁵ and 10⁷.

10⁷ is 100 times greater than 10⁵.

300

Compare 3 x 10⁴ and 6 x 10⁷.

6 x 10⁷ is 2000 (2 x 10³) times greater than 3 x 10⁴.

400

Put the following numbers in order from least to greatest.

3.76 x 10⁸

6.22 x 10⁷

2.54 x 10⁷

8.44 x 10⁶

8.44 x 10⁶

2.54 x 10⁷

6.22 x 10⁷

3.76 x 10⁸

500

Compare 

5.80 x 10¹⁷ and 2.9 x 10¹²

5.80 x 10¹⁷ is 200,000 (2 x 10⁵⁾ times greater than 2.9 x 10¹².