7 Questions
What is the purpose of the addition operation?
To combine two or more numbers to get a total or a sum
What does the subtraction operation find?
The difference between two numbers
What is the purpose of the multiplication operation?
To repeat a number a certain number of times
What is the acronym for the order of operations?
PEMDAS
What is the commutative property of arithmetic operations?
The order of numbers does not change the result
What is the associative property of arithmetic operations?
The order of operations does not change the result
What is the distributive property of arithmetic operations?
Multiply a single value to multiple addends
Study Notes
Arithmetic Operations
Addition
- Denoted by the plus sign (+)
- Combines two or more numbers to get a total or a sum
- Example: 2 + 3 = 5
Subtraction
- Denoted by the minus sign (-)
- Finds the difference between two numbers
- Example: 5 - 3 = 2
Multiplication
- Denoted by the multiplication sign (×) or an asterisk (*)
- Repeats a number a certain number of times
- Example: 2 × 3 = 6
Division
- Denoted by the division sign (÷) or a forward slash (/)
- Finds the quotient of two numbers
- Example: 6 ÷ 2 = 3
Order of Operations
- A set of rules to follow when performing multiple operations in an expression
- Acronym: PEMDAS (or Please Excuse My Dear Aunt Sally)
- Order: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction
Basic Properties
-
Commutative Property: The order of numbers does not change the result
- Example: 2 + 3 = 3 + 2
-
Associative Property: The order of operations does not change the result
- Example: (2 + 3) + 4 = 2 + (3 + 4)
-
Distributive Property: Multiply a single value to multiple addends
- Example: 2 × (3 + 4) = 2 × 3 + 2 × 4
Arithmetic Operations
Basic Arithmetic Operations
- Addition: combines two or more numbers to get a total or a sum, denoted by the plus sign (+)
- Subtraction: finds the difference between two numbers, denoted by the minus sign (-)
- Multiplication: repeats a number a certain number of times, denoted by the multiplication sign (×) or an asterisk (*)
- Division: finds the quotient of two numbers, denoted by the division sign (÷) or a forward slash (/)
Order of Operations
- Follows the acronym PEMDAS (Please Excuse My Dear Aunt Sally)
- Order of operations: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction
Properties of Arithmetic Operations
Commutative Property
- The order of numbers does not change the result
- Example: 2 + 3 = 3 + 2
Associative Property
- The order of operations does not change the result
- Example: (2 + 3) + 4 = 2 + (3 + 4)
Distributive Property
- Multiply a single value to multiple addends
- Example: 2 × (3 + 4) = 2 × 3 + 2 × 4
Learn about the four basic arithmetic operations: addition, subtraction, multiplication, and division. Understand the symbols and examples of each operation.
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