Step By Step Method With Definition And Solved Examples
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 Understanding How To Write The Place Value Of Numbers
1. What is place value in maths?
Place value is the value of a digit based on its position in a number. In the base-10 number system, each position represents a power of 10.
- The rightmost digit is the ones place.
- Next is the tens place (10 × digit).
- Then the hundreds place (100 × digit).
2. How do you write the place value of a digit in a number?
To write the place value of a digit, multiply the digit by the value of its position. Follow these steps:
- Identify the position (ones, tens, hundreds, etc.).
- Determine its place value (1, 10, 100, 1000, etc.).
- Multiply the digit by that value.
3. What is the place value of 7 in 7,654?
The place value of 7 in 7,654 is 7,000. The digit 7 is in the thousands place, so its value is 7 × 1000 = 7,000.
4. What is the difference between place value and face value?
The face value of a digit is the digit itself, while the place value depends on its position in the number.
- Face value: The actual digit (e.g., 6 in 462 is 6).
- Place value: The value based on position (6 in 462 is 60).
5. How do you find the place value of digits in large numbers?
To find the place value in large numbers, identify the position and multiply the digit by the corresponding power of 10. Common places include:
- Thousands (1,000)
- Ten thousands (10,000)
- Lakhs (1,00,000) in the Indian system
- Millions (1,000,000) in the International system
6. What is the place value chart?
A place value chart is a table that shows the positions of digits in a number according to their value. It typically includes:
- Ones
- Tens
- Hundreds
- Thousands
- Ten Thousands, and so on
7. Can you give an example of writing the place value of each digit in a number?
Yes, you can write the place value of each digit by multiplying each digit by its position value. Example: For 2,345:
- 2 → 2,000
- 3 → 300
- 4 → 40
- 5 → 5
8. What is the place value of 0 in a number?
The place value of 0 is always 0, but it acts as a placeholder to show the position of other digits. For example, in 5,203, the 0 is in the tens place and keeps the correct value of 2 as 200.
9. How do you write a number in expanded form using place value?
To write a number in expanded form, add the place values of all digits. Steps:
- Find each digit’s place value.
- Write each as a product of digit × place value.
- Add them together.
10. Why is place value important in maths?
Place value is important because it helps in reading, writing, comparing, and performing operations with numbers correctly. It forms the basis of:
- Addition and subtraction with regrouping
- Multiplication and division
- Understanding large numbers
