Ch. 4 Factors, Fractions, & Exponents

Factors/Prime Factorization

100

List the factors for 18.

1, 2, 3, 6, 9, 18

200

What is the difference between prime and composite numbers?

Prime numbers have only 2 factors, where composite numbers have more than 2. 

300

Write the prime factorization of 225.

3^{2 .} 5²

400

Factor the monomial.  40g³h

2 ^. 2 ^. 2 ^. 5 ^. g ^. g ^. g ^. h

500

You are arranging 70 plants in a rectangular garden with the same number of plants in each row. How many ways can you arrange the garden? 

Hint: Factors

8 arrangements 

GCF & LCM

100

What is the greatest common factor (GCF) of 12 & 42

6

200

Find the GCF & tell whether it is relatively prime or not. 

26 & 65

13 & no, it is not relatively prime. 

300

Find the LCM of the monomial. 

6d², 44d³

132d³

400

Find the least common multiple (LCM) of 9, 12, 16.

144

500

Ginny has two vegetable gardens. In the first garden, Ginny grows tomatoes every 2 years. In the second garden, Ginny grows tomatoes every 3 years. This year, Ginny grows tomatoes in both gardens. In how many years will she grow tomatoes in both gardens again? 

Don't forget your label!

6 years

Fractions

100

Which fraction is greater? 13/18 , 16/21

                               

16/21

200

Write two fractions that are equivalent to 6/12. 

Answers will vary. Possible: 3/6, 1/2, 12/24, 18/36

300

There are 18 students in a science class. One day, 8 students are absent. What fraction of the students are absent? Give your answer in simplest form. 

4/9

400

Write the fractions in simplest form & tell whether they are equivalent. 

30/48, 56/64

5/8, 7/8 no, they are not equivalent.

500

Write the fraction in simplest form. 

22a²b³c/48ab³c² 

11a/24c

Exponents

100

Find the product . Write your answer using exponents. 

9^{12 .} 9¹³

9²⁵

200

A file on the hard drive of a computer is 3² kilobytes. Another file is 3⁷ kilobytes. How many times larger is the second file than the first file? Write your answer using an exponent. 

3⁵

300

Write the expression using only positive exponents. 

7^-5

1/7⁵

400

Find the product. Write your answer using only positive exponents. 

0.3s^{0 .} 0.8s^-5

0.24/3⁵

500

Simplify. 3y^{6 .} (-6y¹¹)/-9y⁴

2y¹³

Scientific Notation

100

Write the number in scientific notation. 

32,000

3.2 x 10⁴

200

Complete the statement using <,>, = 

4.2 x 10^-3 ____ 0.0042

=

300

Order from least to greatest. 

2400, 2.5 x 10², 2.3 x 10³

2.5 x 10², 2.3 x 10³, 2400

400

Find the product. Write your answer in scientific notation. 

(6 x 10²)(3 x 10³)

1.8 x 10⁶

500

Write the number in standard form. 

Floor area of the Sears Tower in Chicago: 4.16 x 10⁵ 

Don't forget your label!

416,000 m²