Exponents, Prime Factorization, and Order of Operations

What is the result of @@ (10 - 2) \times 3 + 4 @@?

• 24

• 26

• 28

• 30

Solve: @@ (23 - 11) \times 2 + (9 + 7)^2 @@

• 252

• 262

• 272

• 282

What is the value of @@5^0@@?

• 0

• 1

• 5

• 10

What is the Order of Operations?

• A set of rules for solving equations in any order

• A method for memorizing multiplication tables

• A sequence of operations: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction

• A guideline for writing mathematical proofs

Calculate: @@2^3 imes 3^2 imes 5@@

• 240

• 360

• 480

• 300

What is the result of @@ (3 + 2)^2 - 4 \times 2 @@?

• 15

• 16

• 17

• 18

What is the prime factorization of 30?

• @@2 imes 3 imes 5@@

• @@3 imes 10@@

• @@5 imes 6@@

• @@2 imes 15@@

What is @@3^2@@?

• 8

• 9

• 6

• 12

Calculate: @@2^2 imes (6 + 3)@@

• 18

• 24

• 30

• 36

What is the prime factorization of 56?

• @@2^2 imes 14@@

• @@2^3 imes 7@@

• @@4 imes 14@@

• @@2 imes 28@@