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Questions and Answers
What is the definition of subtraction in arithmetic operations?
What is the definition of subtraction in arithmetic operations?
finding the difference between two numbers
What is the Commutative Property of arithmetic operations?
What is the Commutative Property of arithmetic operations?
the order of numbers does not change the result
What is the order of operations in arithmetic?
What is the order of operations in arithmetic?
PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction)
What is place value in arithmetic?
What is place value in arithmetic?
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What is the Distributive Property of arithmetic operations?
What is the Distributive Property of arithmetic operations?
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What is the definition of rounding in arithmetic?
What is the definition of rounding in arithmetic?
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Study Notes
Number Operations
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Addition: combining two or more numbers to get a total or a sum
- Example: 2 + 3 = 5
-
Subtraction: finding the difference between two numbers
- Example: 5 - 2 = 3
-
Multiplication: repeating a number a certain number of times to get a product
- Example: 2 × 3 = 6
-
Division: sharing a number into equal parts or groups
- Example: 6 ÷ 2 = 3
Properties of Arithmetic Operations
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Commutative Property: the order of numbers does not change the result
- Example: 2 + 3 = 3 + 2
- Example: 2 × 3 = 3 × 2
-
Associative Property: the order in which numbers are grouped does not change the result
- Example: (2 + 3) + 4 = 2 + (3 + 4)
- Example: (2 × 3) × 4 = 2 × (3 × 4)
-
Distributive Property: a number can be distributed to multiple numbers
- Example: 2 × (3 + 4) = 2 × 3 + 2 × 4
Order of Operations
-
PEMDAS: a mnemonic to remember the order of operations
- Parentheses: evaluate expressions inside parentheses first
- Exponents: evaluate any exponential expressions next
- Multiplication and Division: evaluate from left to right
- Addition and Subtraction: evaluate from left to right
Arithmetic Concepts
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Place Value: the value of a digit based on its position in a number
- Example: in the number 456, the 4 is in the hundreds place, the 5 is in the tens place, and the 6 is in the ones place
-
Rounding: approximating a number to a nearby value
- Example: rounding 4.7 to the nearest whole number is 5
Number Operations
- Addition is the process of combining two or more numbers to get a total or a sum, e.g. 2 + 3 = 5.
- Subtraction is the process of finding the difference between two numbers, e.g. 5 - 2 = 3.
- Multiplication is the process of repeating a number a certain number of times to get a product, e.g. 2 × 3 = 6.
- Division is the process of sharing a number into equal parts or groups, e.g. 6 ÷ 2 = 3.
Properties of Arithmetic Operations
- Commutative Property states that the order of numbers does not change the result, e.g. 2 + 3 = 3 + 2, and 2 × 3 = 3 × 2.
- Associative Property states that the order in which numbers are grouped does not change the result, e.g. (2 + 3) + 4 = 2 + (3 + 4), and (2 × 3) × 4 = 2 × (3 × 4).
- Distributive Property states that a number can be distributed to multiple numbers, e.g. 2 × (3 + 4) = 2 × 3 + 2 × 4.
Order of Operations
-
PEMDAS is a mnemonic to remember the order of operations:
- Evaluate expressions inside Parentheses first.
- Evaluate any Exponents next.
- Evaluate Multiplication and Division from left to right.
- Evaluate Addition and Subtraction from left to right.
Arithmetic Concepts
- Place Value is the value of a digit based on its position in a number, e.g. in the number 456, the 4 is in the hundreds place, the 5 is in the tens place, and the 6 is in the ones place.
- Rounding is approximating a number to a nearby value, e.g. rounding 4.7 to the nearest whole number is 5.
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Description
Learn about the four basic number operations: addition, subtraction, multiplication, and division. Understand their definitions and examples.
