Chapter 1: Numerical Expressions and Factors

Powers and Exponents

100

Write 4 x 4 x 4 x 4 x 4 using an exponent.

4⁵

200

Write the product as a power:

3 x 3 x 3

3³

300

Which of these are perfect squares?

10, 25, 50, 64, 90, 100

25 (5²)

64 (8²)

100 (10²)

400

Find the value of the power:

2⁶

2 x 2 x 2 x 2 x 2 x 2 = 64

500

Find the value of the sum:

15² - 3⁴

=144

Order of Operations (PEMDAS)

100

3 + 4 x 7 - 1

30

200

100 - 3(4 + 6)

= 70

300

7 x 5 + 40 - 5²(1 + 1)

= 25

400

4/2 + 8 x 10 + (5³/25)

= 87

500

(7² - 45)² + 4 x 2

= 24

Prime Factorization

100

Find the factor pairs for the number:

49

(1, 49), (7, 7)

200

Find the factor pairs for the number:

36

 (1, 36), (4, 9), (6, 6), (12, 3), and (18, 2)

300

Find the prime factorization of:

50

2 × 5 × 5 

or

2 x 5²

400

Find the prime factorization of:

390

2 × 3 × 5 × 13

500

Find the prime factorization of the number:

1200

2⁴ × 3 × 5²

or

2 x 2 x 2 x 2 x 3 x 5 x 5 

GCF and LCM

100

Find the GCF (42, 64) by listing its factors.

 GCF (42, 64) = 2

200

Find the LCM (15, 20) by listing the numbers' multiples.

LCM (15, 20) = 60

300

Find the GCF(36, 600) through prime factorization.

GCF(36, 600) = 12

400

Find the LCM (42, 60) *through prime factorization

LCM (42, 60) = 420

500

Find the LCM and GCF of these numbers:(12, 24, 36)

LCM(12, 24, 36) = 72

GCF(12, 24, 36) = 12