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The basic Number Properties (or laws) that apply to arithmetic operations are Commutative Property, Associative Property, Identity Property and Distributive Property. Summary of Number Properties The following table summarizes the number properties for addition and multiplication: Commutative, Associative, Distributive, Identity and Inverse. Scroll down the page for examples, explanations and solutions. Distributive property allows you…

In these lessons, we learn what the commutative property means and how to use it in arithmetic operations. The basic Number Properties (or laws) that apply to arithmetic operations are Commutative Property, Associative Property, Identity Property and Distributive Property. The following diagrams show the Commutative Property of Addition and Multiplication. Scroll down the page for…

A prime number is a whole number that has exactly two factors, 1 and itself. The Sieve of Eratosthenes is an ancient algorithm that can help us find all prime numbers up to any given limit. How does the Sieve of Eratosthenes work?The following example illustrates how the Sieve of Eratosthenes can be used to find all the prime…

In this lesson, we will learn What is a Prime Number?A prime number is a whole number that has exactly two factors, 1 and itself. For exampleThe number 29 has exactly two factors, which are 1 and 29.So, 29 is a prime number. The prime numbers up to 100 are2, 3, 5, 7, 11, 13, 17, 19,…

Are they any patterns or rules when adding, subtracting, multiplying or dividing even and odd numbers? The following diagrams show some rules and examples when adding, subtracting, multiplying, or dividing even and odd numbers. The rules for division is only true if the quotient is a whole number. Scroll down the page for more examples…

Let’s learn what odd and even numbers are understand the basic properties of odd and even numbers. What are even numbers?Even numbers are numbers that can be divided by 2, for example, 0, 12, 54. An even number always ends in 0, 2, 4, 6, or 8. Zero is considered an even number. What are odd numbers?Odd numbers are numbers that…

Word problems with division often involve sharing from a total number. Take note which number is the dividend and which should be the divisor to solve the problem correctly. Example: Rosie has 60 sweets. If she gave her friends 3 sweets each, how many friends can she share her sweets with? Solution: [60 sweets] ÷…

These lessons look at simple examples of subtraction word problems. Words like ‘difference’, ‘less’, ‘take away’, ‘loss’ usually means that subtraction is involved. For subtraction, take note which number has to be subtracted from which number. Subtracting in the wrong order will give you the wrong answer. Example:Andy has 53 marbles. Sam has 105 marbles…

These free math video lessons with examples and worked solutions help Grade 4 students learn how to apply understanding of fraction equivalence to add tenths and hundredths. Word problems involving addition often uses words like ‘total’, ‘sum’, ‘more’, ‘gain’, ‘altogether’. Example:Andy has 53 marbles. Sam gave Andy 15 marbles and Andy found another 3. What…

In these lessons, we will learn the PEMDAS rule for the order of operations. PEMDAS is the acronym for Parenthesis, Exponents, Multiplication, Addition and Subtraction. It is used to help you remember the order of operations. What Is The PEMDAS Rule? If the expression consists of parenthesis, exponents, +, –, × and ÷, then the…