How to Find and Write the Place Value of a Digit
A place value of the digit is the value decided by the position of the digit. There is a value of every digit decided by its place. The place value of the same digits in a number can be different. The place value of the digits is decided from right to left. The value starts deciding from the right, called the one's position.
In a number, the place value of digits is ones, tens, hundred, thousand, ten thousand, and so on. These values are decided by the position and differ. No two digits can have the same value in the number. We will see how to find the place value and how to write the place value of a digit.
How to Find the Place Value?
The place value of a digit is decided by the position of a digit in the number. As the value of two digits cannot be the same in a single number. Let us understand how the place value of a digit is decided.
Place Value
Through this example, we can see that the digit at the right, which is 8, is given the place value of ones/units. The digit left to one is 6, given the place value of Tens. The digit left to the tens is 4 given the place value of hundred, and so on.
To find out the place value in number format, we multiply the number with its place value. As in this example, the digit at the rightmost place is multiplied by 1, the digit at the tens place is multiplied by 10, the digit at the hundredth place is multiplied by 100, and so on.
Indian Place Value Chart
There is an Indian Place Value Chart and International Place Value Chart. In the Indian Place Value Chart, the digits are determined as ones, tens, hundred, thousand, ten thousand, lakhs, ten lakhs, crore, and ten crores.
These values are determined by the position of a digit in a number. The place value of any two same digits cannot be the same. The place value of each digit in a number is different.
Indian Place Value Chart
Place Value and Face Value
A face value of a digit is the digit itself. The face value of a digit is determined by the mirror value of the digit, while the place value is determined by the position of the digit. Let us take an example to understand the differentiation between the two.
The number is 5678.
The place value of 8 is 8, 7 is 70, 6 is 600, and 5 is 5000.
The face value of 8 is 8, 7 is 7, 6 is 6, and 5 is 5.
Hence, we can say that the face value of the digit is the digit itself, and the place value is decided by the position of the digit in a number.
Solved Questions
Q1. Write the place value of 2 in 324.
Ans: To find out the place value of 2 in 324, we have to see if 2 is at one, tens, or hundredth place. Here 2 is the tenth place, so we have to multiply 2 by 10. The place value of 2 is 20.
Q2. Write the place value of 7 in 27.
Ans: To find out the place value of 7 in 27, we must see if 7 is at one or tenth place. Here 7 is at one place, so we have to multiply 7 by 1. The place value of 7 is 7.
Practice Questions
Q1. Write the place value of 8 in 8756.
Ans: 8000.
Q2. Write the place value of 6 in 68.
Ans: 60.
Summary
Finding a place value of a digit is an important concept to learn in Mathematics. It is required in the chapters of addition, subtraction, division, and multiplication as well. This concept teaches the kids to place the digits correctly in a number.
The place value of a digit and the face value of a digit is also different. There is an Indian Place Value Chart and International Place Value Chart. In India, we follow the Indian Place Value Chart in which the values are decided as Ones, Tens, Hundred, Thousands, Ten Thousand, Lakhs, Ten Lakhs, and so on.
FAQs on Understand Place Value of Numbers Easily
1. What is the place value of a digit in a number?
The place value of a digit is its value based on its position within a number. Each place (like ones, tens, hundreds, thousands) has a specific worth. For example, in the number 352, the digit '5' is in the tens place, so its place value is not just 5, but 50 (5 x 10). The concept helps us understand the magnitude of each digit.
2. What is the main difference between place value and face value?
The main difference lies in how a digit's value is determined:
- Face Value: This is the intrinsic value of the digit itself, regardless of its position. In the number 489, the face value of '8' is simply 8.
- Place Value: This is the value a digit holds because of its position in the number. In 489, the digit '8' is in the tens place, so its place value is 80 (8 x 10).
In short, face value never changes, but place value depends entirely on the digit's location.
3. How can we find the place value of the digit '7' in the number 87,452?
To find the place value of '7' in 87,452, first identify its position. Reading from the right, the positions are ones, tens, hundreds, and thousands. The digit '7' is in the thousands place. Therefore, its place value is 7 multiplied by 1,000, which equals 7,000. The face value of '7' remains 7.
4. Why is learning place value important for performing mathematical operations like addition and subtraction?
Understanding place value is crucial for operations because it ensures we add or subtract corresponding units correctly. When you add 125 and 34, you align the numbers vertically. This alignment is a physical representation of place value: you add the ones (5+4), the tens (2+3), and the hundreds (1+0). Without this understanding, you might incorrectly add 5 and 3, leading to a wrong answer. It is the foundation for carrying over in addition and borrowing in subtraction.
5. How does a place value chart help us understand large numbers?
A place value chart is a tool that visually organises digits into their correct positions (like Ones, Tens, Hundreds, Thousands, Ten Thousands, etc.). This helps in two key ways:
- Reading Numbers: It breaks down a large number like 543,210 into '5' hundred thousands, '4' ten thousands, '3' thousands, and so on, making it easier to read correctly.
- Comparing Numbers: By placing two numbers in a chart, you can easily compare them by looking at the digit in the highest place value first. This makes it simple to determine which number is greater.
6. How do we use place value to write a number in its expanded form?
Writing a number in its expanded form means expressing it as the sum of the place values of each of its digits. For example, to write the number 4,862 in expanded form using place values:
- The place value of 4 is 4 x 1000 = 4000.
- The place value of 8 is 8 x 100 = 800.
- The place value of 6 is 6 x 10 = 60.
- The place value of 2 is 2 x 1 = 2.
So, the expanded form of 4,862 is 4000 + 800 + 60 + 2.
7. In which position in a number is the place value of a digit equal to its face value?
The place value of a digit is equal to its face value only when the digit is in the ones place. The ones place has a value of 1. So, for any digit in this position, its place value is the digit multiplied by 1, which is the digit itself. For instance, in the number 235, the digit '5' has a face value of 5 and a place value of 5 (5 x 1), making them equal.
