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Arithmetic properties

Place value

Learn
Finding place value
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Place value tables
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Writing a number in standard form
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Writing a number in expanded form
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Writing numbers in words and standard form
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Comparing place values
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Understanding place value
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Place value when multiplying and dividing by 10
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Regrouping numbers into various place values
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Comparing whole number place values
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Regrouping whole number place values
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Adding whole numbers by their place values
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Whole number place value review
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Whole numbers in expanded form review
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Whole numbers in written form review
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Practice
Place value tablesGet 3 of 4 questions to level up!
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Identify value of a digitGet 5 of 7 questions to level up!
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Write whole numbers in expanded formGet 5 of 7 questions to level up!
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Place value when multiplying and dividing by 10Get 5 of 7 questions to level up!
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Understand multiplying by a multiple of 10, 100, and 1000Get 3 of 4 questions to level up!
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Rounding whole numbers

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Rounding to the nearest 10 on the number line
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Rounding whole numbers to nearest ten
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Rounding to the nearest 100 on the number line
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Rounding whole numbers to nearest hundred
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Rounding whole numbers to nearest thousand
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Practice
Round whole numbersGet 5 of 7 questions to level up!
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Regrouping whole numbers

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Regrouping whole numbers: 675
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Regrouping whole numbers: 76,830
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Regrouping whole numbers: 430
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Practice
Regroup whole numbersGet 3 of 4 questions to level up!
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Quiz 1

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Order of operations

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Intro to order of operations
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Order of operations example
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Worked example: Order of operations (PEMDAS)
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Order of operations (2-step expressions)
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Practice
Order of operationsGet 5 of 7 questions to level up!
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2-step expressionsGet 5 of 7 questions to level up!
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Arithmetic properties

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Properties of multiplication
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Properties and patterns for multiplication
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Commutative law of addition
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Commutative law of multiplication
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Commutative property of multiplication
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Commutative property of multiplication review
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Associative law of addition
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Associative law of multiplication
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Associative property of multiplication
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Using associative property to simplify multiplication
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Associative property of multiplication review
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Identity property of 1
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Identity property of 0
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Inverse property of addition
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Inverse property of multiplication
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Properties of addition
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Properties of multiplication
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Practice
Commutative property of multiplicationGet 5 of 7 questions to level up!
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Represent the commutative property of multiplicationGet 3 of 4 questions to level up!
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Understand the commutative property of multiplicationGet 3 of 4 questions to level up!
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Understand associative property of multiplicationGet 3 of 4 questions to level up!
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Use associative property to multiply 2-digit numbers by 1-digitGet 3 of 4 questions to level up!
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Associative property of multiplicationGet 5 of 7 questions to level up!
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Distributive property

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Distributive property over addition
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Distributive property explained
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Distributive property over subtraction
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Distributive property exercise examples
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Distributive property when multiplying
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Distributive property review
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Practice
Distributive propertyGet 3 of 4 questions to level up!
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Visualize distributive propertyGet 3 of 4 questions to level up!
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Factor with the distributive property (no variables)Get 5 of 7 questions to level up!
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Rational and irrational numbers

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Intro to rational & irrational numbers
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Classifying numbers: rational & irrational
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Classifying numbers review
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Practice
Classify numbers: rational & irrationalGet 5 of 7 questions to level up!
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Quiz 2

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Unit test

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About this unit

This tutorial will help us make sure we can go deep on arithmetic. We'll explore various ways to represent whole numbers, place value, order of operations, rounding and various other properties of arithmetic.