Information and Resources about Integers

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This is a fun video that does a great job introducing integers. It talks about positive and negative integers, the number line, greater than and less than values, and many other topics.

Absolute Value

Absolute value is also known as the magnitude of an integer.

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This video uses lots of cartoons and animation to describe what absolute value is. It is the perfect video for elementary-aged students.

Absolute Value Problems and Resources

Practice Problems

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The website here has lots of worksheets to help practice absolute value.

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Resources

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The website here defines absolute value is basic and helpful terms.

Addition of Integers

Addition Properties of Integers

Closure Property (m+n is an integer)

Closure and Commutative Properties

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This is a descriptive YouTube video that talks about the closure and commutative properties of addition.

Commutative Property (m+n = n+m)

Associative Property (m+(n+r) = (m+n)+r)

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This website gives a fun and exciting description of the associative property of addition.

Additive-Identity Property of O (0+m = m+0 = m)

Additive-Identity Property of O (0+m = m+0 = m)

Existence of Negatives ((-m)+m = m+(-m) = 0)

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The additive inverse property is described in detail with this website.

It is also known as the Additive Inverse Property.

Addition of Integers by Using a Number Line

You can add numbers on a number line by simply hopping or jumping from point to point to find the answer.

You can add numbers on a number line by simply hopping or jumping from point to point to find the answer.

You can also add a negative number to a positive one using the same technique.

You can also add a negative number to a positive one using the same technique.

Subtraction of Integers

Subtraction is the "take away" representation of numbers and can be shown using a number line.

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This YouTube video talks about subtraction in relation to the number line and gives various examples. The colors and characters in the video make it perfect for a younger audience.

If a, b and c are integers, then (a-b = c) if and only if (a = c+b).

Fact families: (a-b = c), (a = c+b), (a = b+c), (a-c = b)

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This website describes fact families for addition and subtraction. It also includes practice worksheets.

Subtracting by adding the opposite: a-b = a+(-b)

Subtracting by adding the opposite: a-b = a+(-b)

Ordering the Set of Integers

Law of Trichotomy

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This website has a perfect definition and explanation of the law of trichotomy.

If a and b are any two integers, then precisely one of the following relations holds: a is greater than b, a is less than b o

If a and b are any two integers, then precisely one of the following relations holds: a is greater than b, a is less than b or a is equal to b.

Number Line Representations

Number lines are represented with zero in the middle, negative numbers to the left of the zero and positive numbers to the right of the zero.

Number Line Example

Number Line Example

Number Line Practice

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This website quizzes students on the number line and gives them extra practice and help.

Multiplication of Integers

The Rule of Signs

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The website here describes the various rules of signs when multiplying positive and negative integers together.

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1. m(-n) = -mn

2. (-m)n = -mn

3. (-m)(-n) = mn

Multiplication Properties

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This website has various worksheets and resources to practice the different properties of multiplication.

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Closure Property (rs is an integer)

Closure Property (rs is an integer)

Commutative Property (rs = sr)

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The commutative property is explained in an easy and fun way with this website.

Associative Property (r(st) = (rs)t)

Associative Property (r(st) = (rs)t)

Distributive Property (r(s+t) = rs+rt)

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This YouTube video explains the distributive property of multiplication using the example of distributing bracelets to friends. It is a perfect video for younger students.

Multiplicative-Identity Property of 1 ((1)(r) = (r)(1) = r)

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The website here gives a mini lesson about the multiplicative-identity property of 1 and even includes a quiz students can take.

Multiplicative Property of 0 ((0)(r) = (r)(0) = 0)

Multiplicative Property of 0 ((0)(r) = (r)(0) = 0)

Multiplication Using a Number Line

6 times 4 equals 24/4 times 6 equals 24

6 times 4 equals 24/4 times 6 equals 24

Division of Integers

Fact Families

If a, b and c are whole numbers, with b not equal to 0, then a/b = c if and only if a = bc.

If a, b and c are whole numbers, with b not equal to 0, then a/b = c if and only if a = bc.

Fact Family Practice for Multiplication and Division

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This website has various worksheets for students where they can practice different fact families for multiplication and division.

The Rule of Signs

The Rule of Signs

Division Sign Practice

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This website has descriptions and practice problems for positive and negative signs with multiplication and division.

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