To find the place value of each digit in a number, you identify its specific position within the number, starting from the rightmost digit, which determines its value (such as ones, tens, hundreds, thousands, and so on).
Understanding Place Value
Place value is a fundamental concept in mathematics that assigns a numerical value to each digit based on its position within a number. It helps us understand the true magnitude of each digit and, consequently, the entire number. For instance, the digit '2' in the number 20 is very different from the digit '2' in the number 200, purely because of its position.
According to BYJU'S, understanding place value is essential for various mathematical operations and helps differentiate the value of a digit from its face value. The face value of a digit is simply the digit itself, regardless of its position. For example, in the number 2456, the face value of the digit '2' is 2, while its place value is 2000.
Steps to Find the Place Value of Each Digit
To determine the place value of each digit in any given number, follow these systematic steps:
- Identify the Rightmost Digit: Start by looking at the digit furthest to the right. This digit is always in the Units or Ones place. Its place value is the digit multiplied by 1.
- Move Leftward: Proceed to the next digit to the left.
- The second digit from the right is in the Tens place. Its place value is the digit multiplied by 10.
- The third digit from the right is in the Hundreds place. Its place value is the digit multiplied by 100.
- The fourth digit from the right is in the Thousands place. Its place value is the digit multiplied by 1000.
- Continue the Pattern: This pattern continues for larger numbers, with each position to the left representing a value ten times greater than the position to its immediate right (e.g., ten thousands, hundred thousands, millions, and so forth).
- Calculate Place Value: For each digit, multiply the digit's face value by the value of its position to find its exact place value.
Example: Finding Place Value in 2456
Let's use the number 2456 to illustrate how to find the place value of each digit, as explained by BYJU'S:
| Digit | Place Value Position | Calculation | Place Value | Face Value |
|---|---|---|---|---|
| 6 | Units or Ones | 6 x 1 | 6 | 6 |
| 5 | Tens | 5 x 10 | 50 | 5 |
| 4 | Hundreds | 4 x 100 | 400 | 4 |
| 2 | Thousands | 2 x 1000 | 2000 | 2 |
As you can see from the table above, the place value of 6 is 6 (6 ones), the place value of 5 is 50 (5 tens), the place value of 4 is 400 (4 hundreds), and the place value of 2 is 2000 (2 thousands). This method allows you to accurately determine the contribution of each digit to the overall value of the number.
