Introduction
In mathematics, understanding numbers is fundamental. Each digit in a number has a value based on its position. Therefore, every digit has two types of values: Face Value and Place Value.
Explanation Step by Step
To determine the place value, we look at the position of the digit starting from right to left: Units, Tens, Hundreds, Thousands, and Ten Thousands.
| Place | Ten Thousand | Thousand | Hundred | Tens | Units |
|---|---|---|---|---|---|
| Multiply by | 10000 | 1000 | 100 | 10 | 1 |
Sub-topics
Face value, place value of a digit, and expanded form of a number
Face value is the digit itself. Place value is the digit multiplied by its position value. The expanded form is the sum of the place values of all digits in the number.
Examples
Example 1: Analyzing the number 77777
Tricks and Shortcuts
To find the place value quickly, write the digit and replace all digits to its right with zeros. For example, in 6543, the place value of 6 is 6000.
Common Mistakes
Students often confuse face value with place value. Remember, face value never changes regardless of the digit's position.
Practice Questions
Easy Questions
- What is the face value of 9 in 9432?
- Write the place value of 5 in 521.
- Express 400 + 20 + 3 as a standard number.
Medium Questions
- Find the sum of the place value and face value of 6 in 6743.
- Write the expanded form of the number 10506.
- Which digit has the same face value and place value in any number?
Hard Questions
- Calculate the difference between the place values of 7 in the number 7472.
- Form the smallest 5-digit number using 4, 0, 9, 2, 5 and write its expanded form.
- How many tens make 1000? Show using place value logic.
Revision Summary
Place value depends on position; face value is constant. Expanded form displays the sum of all place values in a number.