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Arithmetic - Lessons & Resources

Arithmetic is most probably one of the first few subjects that you learnt at school. It deals with numbers and numerical computation. It is the foundation for studying other branches of mathematics.

The topics include whole numbers, place values, addition, subtraction, multiplication, division, factoring, fractions, decimals, exponents, scientific notations, percents, integers, proportions and word problems.

Free Arithmetic Worksheets are available to provide practice on some of the following topics, for example numbers, place values, money, addition, subtraction, multiplication, division, PEMDAS, fractions, decimals and percents..

Topics

Whole Numbers

For more practise in addition, subtraction, multplication and division, you could go to our Interactive Math Zone where you can generate worksheets according to your needs and get them marked online.

Place Value Chart (includes video)

Expanded Notation (includes video)

Comparing & Ordering Numbers (includes video)

Greater than & Less than (includes video)

Addition (includes video)

Subtraction (includes video)

Multiplication (includes video)

Division (includes video)

Rules of Divisibility (includes video)

Addition Word Problems (includes video)

Subtraction Word Problems (includes video)

Multiplication Word Problems (includes video)

Division Word Problems (includes video)

Numbers

Types of Numbers (includes video)

Odd and Even Numbers (includes video)

Prime Numbers and Composite Numbers (includes video)

Sieve of Eratosthenes for Prime numbers (includes video)

Signed Operations (includes video)

Number Properties
    commutative property (includes video)
    associative property (includes video)
    identity property (includes video)
    distributive property (includes video)

Order of Operations - PEMDAS (includes video)

Rounding Numbers (includes video)

Absolute Value (includes video)

Number Sequences (includes video)

Factors And Multiples (includes video)
factors and multiples, prime factors

Prime Factorization (using factor trees) (includes video)

Prime Factorization (using repeated division) (includes video)

Greatest Common Factor (includes video)

Least Common Multiple (includes video)

Squares & Perfect Squares (includes video)

Square Roots of Perfect Squares & Non-Perfect Squares (includes video)

Squares & Square Roots (includes video)

Simplifying Square Roots (or Radicals) (includes video)

Simplifying Radicals (includes video)

Simplify Square Roots (Radicals) that have Fractions (includes video)

Multiply Square Roots (Radicals) (includes video)

Fractions

Fractions - Introduction (includes video)

Fractions - Proper fractions, Improper Fractions, Mixed Numbers (Mixed Fractions) (includes video)

Convert Mixed Numbers to Improper Fractions and vice versa (includes video)

Comparing Fractions (using cross multiplication) (includes video)

Ordering Fractions (includes video)

Equivalent Fractions (includes video)

Reducing Fractions / Simplifying Fractions (includes video)

Adding Fractions (with common or uncommon denominators) (includes video)

Subtracting Fractions (with common or uncommon denominators) (includes video)

Subtracting Fractions from a Whole Number (includes video)

Multiplying Fractions (includes video)

Reciprocals (includes video)

Dividing Fractions (includes video)

Adding Mixed Numbers (includes video)

Subtracting Mixed Numbers (includes video)

Multiplying Mixed Numbers (includes video)

Dividing Mixed Numbers (includes video)

Complex Fractions (includes video)

Convert Fractions to Decimals (denominator a multiple of 10)

Convert Fractions to Decimals (denominator not a multiple of 10) (includes video)

Fraction Word Problems

Decimals

Decimal Place Value (includes video)

Rounding Decimals (includes video)

Adding and Subtracting Decimals (includes video)

Multipying Decimals (includes video)

Dividing Decimals by a Whole Number (includes video)

Divding Decimals by Decimals (includes video)

Convert Decimals to Fractions (includes video)

Decimal Word Problems (includes video)

Exponents

Rules of Exponents (includes video)

Positive Exponents and Zero Exponent (includes video)

Negative Exponents (includes video)

Fractional Exponents (includes video)

Adding Exponents (includes video)

Subtracting Exponents (includes video)

Multiplying Exponents (includes video)

Exponents: Summary -positive exponents, zero exponents, negative exponents, fractional exponents, adding exponents and multiplying expoenets. (includes video)

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Scientific Notation (also called Normal Form)

Scientific Notation (includes video)

Convert to Scientific Notation (includes video)

Multiplying Numbers in Scientific Notation (includes video)

Dividing Numbers in Scientific Notation (includes video)

Adding and Subtracting Numbers in Scientific Notation