# Operations with Real Numbers

## Add, subtract, multiply, and divide whole numbers, integers, rational numbers, and irrational numbers.

Levels are CK-12's student achievement levels.
Basic Students matched to this level have a partial mastery of prerequisite knowledge and skills fundamental for proficient work.
At Grade (Proficient) Students matched to this level have demonstrated competency over challenging subject matter, including subject matter knowledge, application of such knowledge to real-world situations, and analytical skills appropriate to subject matter.
Advanced Students matched to this level are ready for material that requires superior performance and mastery.

## Properties of Real Number Addition

This concept reviews the properties of addition that apply to real numbers.
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## Properties of Real Number Multiplication

This concept reviews the properties of multiplication that apply to real numbers.
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## SLT 1 Explore the nature of inverse operations.

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## Properties of Real Number Addition

This concept reviews the properties of addition that apply to real numbers.
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• Video

## Subtracting Integers - Overview

by CK-12 //basic
Overview
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• Video

## Subtracting Decimal Numbers - Overview

by CK-12 //basic
Overview
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• Video

## Multiplying Decimal Numbers - Overview

by CK-12 //basic
Overview
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• Video

## Dividing Integers - Overview

by CK-12 //basic
Overview
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• Video

## Operations and Conversions with Units - Overview

by CK-12 //basic
Overview
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## Properties of Real Numbers

A discussion of properties of real numbers including discussions on the commutative property, associative property, distributive property of multiplication over addition, identities for addition and multiplication, and additive or multiplicative inverses.
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• Video

## Adding Integers - Example 1

by CK-12 //basic
Adding Two Integers Using the Number Line
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• Video

## Properties of the Real Numbers

by Jaisel Sandhu //basic
This math video tutorial introduces the basic properties of the real numbers that we will make use of in upcoming lessons: closure, inverse, identity, associative, commutative, and distributive.
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• Video

## Adding Integers - Example 2

by CK-12 //basic
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## Adding Decimal Numbers - Example 1

by CK-12 //basic
Adding Two Decimal Numbers with Same Signs
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## Adding Decimal Numbers - Example 2

by CK-12 //basic
Adding Two Decimal Numbers with Different Signs
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## Adding Decimal Numbers - Example 3

by CK-12 //basic
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• Video

## Subtracting Integers - Example 1

by CK-12 //basic
Subtracting Two Integers Using the Number Line
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• Video

## Subtracting Integers - Example 2

by CK-12 //basic
Subtracting Three Integers
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## Subtracting Decimal Numbers - Example 1

by CK-12 //basic
Subtracting Two Decimal Numbers
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## Subtracting Decimal Numbers - Example 2

by CK-12 //basic
Subtracting Three Decimal Numbers
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## Multiplying Integers - Example 1

by CK-12 //basic
Multiplying Two Integers
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## Multiplying Integers - Example 2

by CK-12 //basic
Multiplying Three Integers
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## Multiplying Decimal Numbers - Example 1

by CK-12 //basic
Multiplying Two Decimal Numbers
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## Multiplying Decimal Numbers - Example 2

by CK-12 //basic
Multiplying Three Decimal Numbers
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## Dividing Integers - Example 1

by CK-12 //basic
Dividing Two Integers
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## Dividing Integers - Example 2

by CK-12 //basic
Dividing Three Integers
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## Dividing Decimals - Example 1

by CK-12 //basic
Dividing Two Decimal Numbers
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## Dividing Decimals - Example 2

by CK-12 //basic
Dividing Three Decimal Numbers
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• Video

## Operations and Conversions with Units - Example 1

by CK-12 //basic
Solving Problems Involving Unit Analysis
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• Video

## Operations and Conversions with Units - Example 2

by CK-12 //basic
Converting Measurements to the Desired Units
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## Operations and Conversions with Units - Example 3

by CK-12 //basic
Converting Rates to the Desired Units
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## Operations and Conversions with Units - Example 4

by CK-12 //basic
Solving Word Problems Involving Rates
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• Study Guide

## Properties of Real Number Addition and Multiplication

by Rayna Schlossberg //basic
Review the properties of addition and multiplication.
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