Math Worksheet, Basic Arithmetic

Worksheet

1. Addition:

• Addition of two numbers: a + b = c
• Addition of multiple numbers: a + b + c + … = sum of all numbers

Subtraction:

• Subtraction of two numbers: a – b = c

1. Multiplication:

• Multiplication of two numbers: a * b = c
• Multiplication of multiple numbers: a * b * c * … = product of all numbers

Division:

• Division of two numbers: a / b = c

1. Highest Common Factors (HCF):

• Finding HCF using prime factorization method:
• Express both numbers as a product of prime factors.
• The HCF is the product of common prime factors with the lowest powers.

1. Lowest Common Multiples (LCM):

• Finding LCM using prime factorization method:
• Express both numbers as a product of prime factors.
• The LCM is the product of all prime factors with their highest powers.

1. Order of Operations and Brackets:

• The order of operations, also known as BODMAS/BEDMAS, is used to perform calculations in a specific sequence:
• Brackets
• Order (exponents and roots)
• Division and multiplication (left to right)
• Addition and subtraction (left to right)

Example of expression evaluation:
a * (b + c) / d – e + f

• Evaluate the expression within brackets first: (b + c)
• Perform the multiplication: a * (b + c)
• Perform the division: (a * (b + c)) / d
• Perform the subtraction: ((a * (b + c)) / d) – e
• Perform the addition: (((a * (b + c)) / d) – e) + f