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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.

Operations include addition, subtraction, multiplication, division, factorization, power computation, root extraction, and congruence calculation.

Topics

Whole Numbers

Place Value Chart (includes video)

Expanded Notation

Comparing & Ordering Numbers

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

Odd and Even Numbers (includes video)

Prime Numbers and Composite Numbers

Sieve of Eratosthenes for Prime numbers (includes video)

Signed Operations (includes video)

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

Greatest Common Factor (includes video)

Least Common Multiple (includes video)

Squares & Square Roots

Simplifying Radicals (includes video)

Fractions

Fractions - Introduction (includes video)

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

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

Comparing Fractions

Ordering Fractions (includes video)

Equivalent Fractions (includes video)

Reducing Fractions / Simplifying Fractions (includes video)

Adding Fractions (includes video)

Subtracting Fractions (includes video)

Adding Mixed Numbers

Subtracting Mixed Numbers (includes video)

Multiplying Fractions (includes video)

Dividing Fractions (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)

Convert Decimals to Fractions

Fraction Word Problems

Decimals

Decimal Place Value (includes video)

Adding and Subtracting Decimals (includes video)

Multipying Decimals (includes video)

Divding Decimals (includes video)

Decimal Word Problems

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)

Scientific Notation (includes video)

Convert to Scientific Notation (includes video)

Multiplying Numbers in Scientific Notation

Dividing Numbers in Scientific Notation

Adding and Subtracting Numbers in Scientific Notation