Exponents and Operations

Math Terms

100

Base 

The big number repeatedly multiplied in exponential form. 

200

Product

A product is formed when two numbers are multiplied. 

300

Commutative Property of Addition 

The order in which numbers are added does not change the sum of the numbers. 

400

Identity Property of Multiplication 

Multiplying by 1 does not change the value. 

500

Order of Operations

PEMDAS, the order in which to perform operations in calculations. 

Exponents

100

2⁴

16

200

6³

216

300

12²

144

400

40²

1,600

500

82³

551,368

Properties of Operations

100

8 + __ = 4 + 8

4, Commutative Property of Addition

200

(43 x 1) x 4 = __ x 43

4, Identity Property and Commutative Property of Multiplication 

300

(1 x 2) x 3 = __ x (2 x 3)

1, Associative Property of Multiplication 

400

25 + 0 + (3 + 16) = (25 + __ ) + 3

16, Identity Property and Associative Property of Addition

500

(12 + 0) x (1 x 12) = __ x __

12, 12, Identity Properties of Addition and Multiplication 

Order of Operations

100

24 ÷ 4 + 2³ + 2

16

200

48 ÷ 4 + 8 + 2³

28

300

6 x 4 - 4 + 2

22

400

72 ÷ (4 + 4) x 5

45

500

3² x 2² ÷ 36

1

Problem Solving

100

Noah walked 15 blocks north and then 3 blocks west to school. Kai walked 3 blocks east and then 15 blocks south to school. Write an equation to show that each traveled the same distance. 

15 + 3 = 3 + 15

200

Chiara bought 3 T-shirts for $12.00 each. Her grandmother paid for half the total cost. Find out how much Chiara paid, and evaluate the expression. 

(3 x 12) ÷ 2 

Chiara paid $18. 

300

What number raised to both the first power and the second power equals 1? 

?¹ = 1         ?² = 1

1¹ = 1      1^{2 =} 1

400

Write the standard form for 6.45 million 

6,450,000

500

Why do you not have to do any computing to solve 

18 x 0 x (4 + 10) 

The product of zero and any number is zero.