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# Mathematics Notes The document contains notes on basic arithmetic operations and properties. ## Whole Numbers, Integers, Natural Numbers - **Whole numbers (W):** Numbers from 0 to ∞, including 0. - **Integers (Z):** Whole numbers from negative infinity (-∞) to positive infinity (+∞), including...

# Mathematics Notes The document contains notes on basic arithmetic operations and properties. ## Whole Numbers, Integers, Natural Numbers - **Whole numbers (W):** Numbers from 0 to ∞, including 0. - **Integers (Z):** Whole numbers from negative infinity (-∞) to positive infinity (+∞), including 0. - **Natural numbers (N):** Whole numbers greater than 0. ## Basic Operations - **Add (+):** Find the sum. - **Subtract (-):** Find the difference. - **Multiply (×):** Find the product. - **Divide (÷):** Find the quotient. ## Order of Operations (PEMDAS) - **P**arentheses - **E**xponents - **M**ultiplication - **D**ivision - **A**ddition - **S**ubtraction **Note:** Operations within parentheses are performed first. Multiplication and division are performed from left to right. Addition and subtraction are performed from left to right. ## Properties of Addition and Multiplication - **Commutative Property:** The order of numbers in addition or multiplication does not matter. - Example: 4 + 3 = 3 + 4 and 4 × 3 = 3 × 4 - **Associative Property:** The grouping of numbers in addition or multiplication does not matter. - Example: (2 + 3) + 5 = 2 + (3 + 5) and (2 × 3) × 5 = 2 × (3 × 5) ## Example Calculations ``` (2 + 3) + 5 = 5 + 5 = 10 2 + 8 = 10 ```