Arithmetic Operations Quiz

Addition

• Definition: The process of combining two or more numbers to get a sum.
• Symbols: The plus sign (+) is used to indicate addition.
• Properties:
  • Commutative Property: a + b = b + a
  • Associative Property: (a + b) + c = a + (b + c)
  • Identity Property: a + 0 = a
• Types:
  • Whole Numbers: Adding integers.
  • Fractions: Common denominator is needed to add fractions.
  • Decimals: Align decimal points before adding.
• Examples:
  • Simple: 3 + 5 = 8
  • With fractions: 1/4 + 1/4 = 2/4 = 1/2

Subtraction

• Definition: The process of taking one number away from another to get a difference.
• Symbols: The minus sign (−) indicates subtraction.
• Properties:
  • Non-Commutative: a - b ≠ b - a
  • Identity Property: a - 0 = a
  • Inverse Operation: Subtraction is the inverse of addition.
• Types:
  • Whole Numbers: Basic subtraction of integers.
  • Fractions: Common denominator is required for subtracting fractions.
  • Decimals: Align decimal points before subtracting.
• Examples:
  • Simple: 9 - 4 = 5
  • With fractions: 3/4 - 1/4 = 2/4 = 1/2

Addition

• The process of combining two or more numbers to obtain a total or sum.
• Indicated by the plus sign (+).
• Properties:
  • Commutative Property: The order of numbers does not affect the sum; e.g., a + b = b + a.
  • Associative Property: The way numbers are grouped does not affect the sum; e.g., (a + b) + c = a + (b + c).
  • Identity Property: Adding zero to any number does not change its value; e.g., a + 0 = a.
• Types:
  • Whole Numbers: Involves adding integers.
  • Fractions: Requires a common denominator before adding; e.g., 1/4 + 1/4 results in 2/4, simplifying to 1/2.
  • Decimals: Decimal points must be aligned for accurate addition.
• Examples:
  • Simple addition: 3 + 5 equals 8.

Subtraction

• The process of removing one number from another to determine the difference.
• Indicated by the minus sign (−).
• Properties:
  • Non-Commutative: The order matters; a - b is not equal to b - a.
  • Identity Property: Subtracting zero leaves the number unchanged; e.g., a - 0 = a.
  • Inverse Operation: Serves as the opposite of addition, reversing the sum.
• Types:
  • Whole Numbers: Basic integer subtraction.
  • Fractions: Requires a common denominator for accurate subtraction; e.g., 3/4 - 1/4 results in 2/4, simplifying to 1/2.
  • Decimals: Decimal points must be aligned for accurate results.
• Examples:
  • Simple subtraction: 9 - 4 equals 5.