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Division: Whole Numbers

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Division: Whole Numbers

Study Guide

Key Definition

Division is a mathematical operation represented by $\div$. It can be defined as: $a \div b$ where $a$ is divided into $b$ equal parts.

Important Notes

Division by zero is undefined.
$a \div b = c$ means $c \times b = a$
The result of division is called the quotient.
$a$ is the dividend, $b$ is the divisor.
Division can result in a remainder.

Mathematical Notation

$\div$ represents division

$+$ represents addition

$-$ represents subtraction

$\times$ represents multiplication

Remember to use proper notation when solving problems

Why It Works

Division is the inverse operation of multiplication. For $a \div b = c$, it means $c \times b = a$.

Remember

Division can't be performed with zero as the divisor.

Quick Reference

Inverse Operation:$a \div b = c \iff c \times b = a$

Understanding Division: Whole Numbers

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Video explanation of this concept

Beginner

Start here! Easy to understand

Beginner Explanation

Division is the process of splitting a number into equal parts. For example, $10 \div 2 = 5$ means breaking 10 items into 2 equal groups of 5.

Practice Problems

Test your understanding with practice problems

Quick Quiz

Single Choice Quiz

Beginner

What is $20 \div 4$?

Real-World Problem

Question Exercise

Intermediate

Teenager Scenario

If you have 36 candies and want to share them equally among 6 friends, how many candies does each friend receive? Use $36 \div 6$.

Thinking Challenge

Thinking Exercise

Intermediate

Think About This

How would you divide 50 apples into groups of 8? Determine the quotient and remainder: $50 \div 8$.

Challenge Quiz

Single Choice Quiz

Advanced

What is $123 \div 11$?

Recap

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Review key concepts and takeaways