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 practice 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
Expanded Notation
Comparing & Ordering Numbers
Greater than & Less than
Addition
Subtraction - with and without borrowing
Multiplication
Division
- Long Division
Rules of Divisibility
Addition Word Problems
Subtraction Word Problems
Multiplication Word Problems
Division Word Problems
Numbers
Types of Numbers
- natural numbers, whole numbers, rational & irrational numbers, real numbers
Odd and Even Numbers
- patterns when adding and multiplying odd and even numbers
Prime Numbers and Composite Numbers
Sieve of Eratosthenes for Prime numbers
Signed Operations
Number Properties
commutative property
associative property
identity property
distributive property
Order of Operations - PEMDAS
Rounding Numbers
Absolute Value
Number Sequences
Factors, Multiples and Prime Factors
Prime Factorization (using factor trees)
Prime Factorization (using repeated division)
Greatest Common Factor
Least Common Multiple
Squares & Perfect Squares
Square Roots of Perfect Squares & Non-Perfect Squares
Squares & Square Roots
Simplifying Square Roots (or Radicals)
Simplifying Radicals
Simplify Square Roots (Radicals) that have Fractions
Multiply Square Roots (Radicals)
Fractions
Fractions - Introduction
Fractions - Proper fractions, Improper Fractions, Mixed Numbers (Mixed Fractions)
Convert Mixed Numbers to Improper Fractions and vice versa
Comparing Fractions (using cross multiplication)
Ordering Fractions
Equivalent Fractions
Reducing Fractions / Simplifying Fractions
Adding Fractions (with common or uncommon denominators)
Subtracting Fractions (with common or uncommon denominators)
Subtracting Fractions from a Whole Number
Multiplying Fractions
Reciprocals
Dividing Fractions
Adding Mixed Numbers
Subtracting Mixed Numbers
Multiplying Mixed Numbers
Dividing Mixed Numbers
Complex Fractions
Convert Fractions to Decimals (denominator a multiple of 10)
Convert Fractions to Decimals (denominator not a multiple of 10)
Fraction Word Problems
Decimals
Decimal Place Value
Rounding Decimals
Adding and Subtracting Decimals
Multipying Decimals
Dividing Decimals by a Whole Number
Divding Decimals by Decimals
Convert Decimals to Fractions
Decimal Word Problems
Exponents
Rules of Exponents
Positive Exponents and Zero Exponents
Negative Exponents
Fractional Exponents
Adding Exponents
Subtracting Exponents
Multiplying Exponents
Exponents: Summary -positive exponents, zero exponents, negative exponents, fractional exponents, adding exponents and multiplying expoenets.
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Scientific Notation (also called Normal Form)
Scientific Notation
Convert to Scientific Notation
Multiplying Numbers in Scientific Notation
Dividing Numbers in Scientific Notation
Adding and Subtracting Numbers in Scientific Notation
Integers (Positive and Negative Numbers)
Negative Numbers and Integers
Integers
- digits,
integers, consecutive integers,
odd and even integers
Integers and the Number Line
Adding Integers and Subtracting Integers
Multiplying and Dividing Integers
Percent
Percent and Decimal
Fraction to Percent
Percent to Fraction
Percentage of a Number
Percentage Increase and Decrease
Simple Interest Formula
Proportions/Variations
Ratios
- two-term ratios,
three-term ratios
Proportions / Variations
Directly proportional
Inversely proportional
Metric Conversion Problems
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Word Problems
2nd Grade Word Problems (1-step word problems)
3rd Grade Word Problems - Addtion & Subtraction (2-step word problems)
3rd Grade Word Problems - Multiplication & Division (2-step word problems)
4th Grade Word Problems - Mixed Operations (3-step word problems)
5th Grade Word Problems - Ratios & Proportion
5th Grade Word Problems - Percentages
6th Grade Word Problems - Ratios & Fractions
6th Grade Word Problems - Ratios & Proportions
6th Grade Word Problems - Percentages
6th Grade Word Problems - Average Speed
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A series of Mathematics Lessons given in videos by Portland Community College - Arithmetic Review
Signed Numbers
Addition of Signed Numbers
Subtraction of Signed Numbers
Multiplication of Signed Numbers
Division of Signed Numbers
Review: Order of Operations
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