Properties, Exponents, and Order of Operations

Properties

100

What property is being used? 

7(4+7) = (7 x 4) + (7 x 7)

Distributive

200

What property is being used? 

10 X 1 = 10

Identity 

300

What property is being used? 

x/y times y/x = 1

a + (-a) = 0

Inverse

400

What property is being used? 

(a+b)+c = a+(b+c)

Associative 

500

What property is being used? 

7 + 9 = 9 + 7

Commutative

Order of Operations Level 1

100

(18 x 17) - 9 

297

200

19 + (8 - 3)²

44

300

2 (20 + 13) + 4³ 

130

400

47 - (10 x 3) + 2⁰

18

500

17 + (14 x 8)¹

129

Order of Operations Level 2

100

10 + (6² - 12)

34

200

7 x (8³ - 10)

3,514

300

11² - (8 - 1)

114

400

(4² + 11)/3 

9

500

(5² x 7) - 10²

75

Order of Operations Level 3

100

6 x 3² + (11 - 2 x 3)

59

200

5 x 10 + (7³ - 10 x 12) 

273

300

10 x 9 + (4-1)³ x 12 

414

400

6 x (6 + 9 + 12) - 5³

37

500

2³ x 9 + (13 - 11) x 9

90

Exponents

100

10⁰

1

200

-2⁴

16

300

(2/5)¹

2/5

400

(1/3)³

1/27

500

Write 10⁶ as an expression of repeated multiplication. 

10 x 10 x 10 x 10 x 10 x 10