Unit B

Properties of Numbers

100

What property of numbers is represented by the following problems? 

18 + 9 = 9 + 18

15 x 2 = 2 x 15

Commutative Property

200

What property of numbers is represented by the following equations?

(17 + 2) + 9 = 17 (2 + 9)

(12 x 2) x 4 = 12 x (2 x 4) 

Associative Property 

300

What property of numbers is represented by the following equation?

6 x (10 + 4) = (6 x 10) + (6 x 4)

Distributive Property 

400

Using the Distributive Property solve 4 x 23.

You must show all of your work using the property to get the points.

92

500

Using the Distributive Property solve 8 x 74.

You must show all of your work using the property to get the points.

592

Place Value and Rounding

100

How much larger is the 7 in 7,549 than the 7 in 5,472?

100x

200

How much larger is the 9 in 7,945.5 than the 9 in 5,472.9?

1000x

300

Round the sum of 10,982 + 4,821 to the thousands place.

16,000

400

a. 14.30 < 14.03

b. 14.30 = 14.03

c. 14.30 > 14.03

C

500

What is the standard form of five and three hundred twenty-one hundred-thousandths?

5.00321

Exponents

100

Write in exponential form.

 4 x 4 x 4 x 4

4⁴

200

Find the Value.

8³

512

300

Write in expanded form.

8⁵

8 x 8 x 8 x 8 x 8

400

Find the value.

2⁹

512

500

Find the value.

9⁴

6,561

Scientific Notation

100

Write 423 in scientific notation.

4.23 x 10²

200

Write in Scientific Notation.

695,700

6.957 x 10⁵

300

Write in standard notation.

5.85 × 10⁵

585,000

400

Write 53,000,000,000,000,000,000,000 in Scientific Notation.

5.3 x 10²²

500

Write in standard notation.

4.9002 × 10³²

490,020,000,000,000,000,000,000,000,000,000

Order of Operations

100

Simplify.

( 9 + 33 - 6 ) ÷ 2 - 2 ²

14

200

( 9 +57 -6² ) ÷ (2⁰ + 2)

10

300

( 4 + 5)² + (10 - 12 ÷ 6 )

89

400

(13 + 7 ) x (11 - 5 ) +8²

184

500

8 x (10 x 4 + 4² ) - 9

439