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Questions and Answers
What is the purpose of the addition operation?
What is the purpose of the addition operation?
- To combine two or more numbers to get a total or a sum (correct)
- To repeat a number a certain number of times
- To find the quotient of two numbers
- To find the difference between two numbers
What does the subtraction operation find?
What does the subtraction operation find?
- The product of two numbers
- The difference between two numbers (correct)
- The sum of two numbers
- The quotient of two numbers
What is the purpose of the multiplication operation?
What is the purpose of the multiplication operation?
- To find the quotient of two numbers
- To find the difference between two numbers
- To combine two or more numbers to get a total or a sum
- To repeat a number a certain number of times (correct)
What is the acronym for the order of operations?
What is the acronym for the order of operations?
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What is the commutative property of arithmetic operations?
What is the commutative property of arithmetic operations?
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What is the associative property of arithmetic operations?
What is the associative property of arithmetic operations?
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What is the distributive property of arithmetic operations?
What is the distributive property of arithmetic operations?
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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
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