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Place Value

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Place Value

Study Guide

Key Definition

In a decimal number system, each place value is $10$ times the place value to its right and $\frac{1}{10}$ of the place value to its left.

Important Notes

The ones place is the first digit on the right
Every digit represents a power of $10$
Values increase by a factor of $10$
Understanding place value is essential for performing arithmetic
Place value helps in reading large numbers easily

Mathematical Notation

$+$ represents addition

$-$ represents subtraction

$\times$ represents multiplication

$\div$ represents division

Remember to use proper notation when solving problems

Why It Works

The positional notation allows us to simplify complex numbers by expressing them as sums of powers of $10$.

Remember

Each digit in a number has a different value based on its position, which is a power of $10$.

Quick Reference

Place Value:$10^n$ where $n$ is the position from the right

Understanding Place Value

Choose your learning level

Watch & Learn

Video explanation of this concept

Beginner

Start here! Easy to understand

Beginner Explanation

In the number $96,548,327$, the value of each digit depends on its position.

Practice Problems

Test your understanding with practice problems

Quick Quiz

Single Choice Quiz

Beginner

What is the value of the digit $8$ in the number $96,548,327$?

Real-World Problem

Question Exercise

Intermediate

Teenager Scenario

If you have $5,678$ points in a game, what does the digit $6$ represent?

Thinking Challenge

Thinking Exercise

Intermediate

Think About This

Consider the number $123,456$. What is the sum of the values of all its digits?

Challenge Quiz

Single Choice Quiz

Advanced

In the number $9,876,543$, which digit represents $800,000$?

Recap

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Review key concepts and takeaways