Write The Place Value Of The Circled Digits.
Understanding Place Value
Place value is a fundamental concept in mathematics that helps us understand the value of each digit in a number. It is the value that a digit holds in a number based on its position. In this article, we will focus on writing the place value of the circled digits in a given number.
What is Place Value?
Place value is a concept that is used to understand the value of each digit in a number. It is the value that a digit holds in a number based on its position. The place value of a digit depends on its position in the number. For example, in the number 456, the digit 4 is in the hundreds place, the digit 5 is in the tens place, and the digit 6 is in the ones place.
Types of Place Value
There are several types of place value, including:
- Hundred's place: The digit in the hundred's place represents the value of 100 times the digit.
- Tens place: The digit in the tens place represents the value of 10 times the digit.
- Ones place: The digit in the ones place represents the value of 1 times the digit.
- Thousands place: The digit in the thousands place represents the value of 1000 times the digit.
- Ten thousands place: The digit in the ten thousands place represents the value of 10,000 times the digit.
Writing Place Value of Circled Digits
To write the place value of the circled digits, we need to identify the position of each digit in the number. Once we have identified the position of each digit, we can write the place value of each digit.
Example 1
Let's consider the number 456. The circled digits are 4, 5, and 6.
- The digit 4 is in the hundred's place, so its place value is 400.
- The digit 5 is in the tens place, so its place value is 50.
- The digit 6 is in the ones place, so its place value is 6.
Therefore, the place value of the circled digits in the number 456 is 400, 50, and 6.
Example 2
Let's consider the number 987. The circled digits are 9, 8, and 7.
- The digit 9 is in the hundred's place, so its place value is 900.
- The digit 8 is in the tens place, so its place value is 80.
- The digit 7 is in the ones place, so its place value is 7.
Therefore, the place value of the circled digits in the number 987 is 900, 80, and 7.
Practice Problems
Here are some practice problems to help you understand how to write the place value of the circled digits.
Problem 1
Write the place value of the circled digits in the number 123.
- The digit 1 is in the hundred's place, so its place value is 100.
- The digit 2 is in the tens place, so its place value is 20.
- The digit 3 is in the ones place, so its place value is 3.
Therefore, the place value of the circled digits in the number 123 is 100, 20, and 3.
Problem 2
Write the place value of the circled digits in the number 456.
- The digit 4 is in the hundred's place, so its place value is 400.
- The digit 5 is in the tens place, so its place value is 50.
- The digit 6 is in the ones place, so its place value is 6.
Therefore, the place value of the circled digits in the number 456 is 400, 50, and 6.
Conclusion
In this article, we have learned how to write the place value of the circled digits in a given number. We have also practiced writing the place value of the circled digits in several examples. Place value is an important concept in mathematics that helps us understand the value of each digit in a number. By understanding place value, we can perform various mathematical operations with ease.
Frequently Asked Questions
- What is place value? Place value is a concept that is used to understand the value of each digit in a number. It is the value that a digit holds in a number based on its position.
- What are the different types of place value? There are several types of place value, including hundred's place, tens place, ones place, thousands place, and ten thousands place.
- How do I write the place value of the circled digits? To write the place value of the circled digits, we need to identify the position of each digit in the number. Once we have identified the position of each digit, we can write the place value of each digit.
References
- Math Open Reference. (n.d.). Place Value. Retrieved from https://www.mathopenref.com/placevalue.html
- Khan Academy. (n.d.). Place Value. Retrieved from https://www.khanacademy.org/math/grade-5-math/grade-5-numbers-and-operations/grade-5-place-value/v/place-value
Note: The references provided are for educational purposes only and are not intended to be a comprehensive list of resources on the topic of place value.
Frequently Asked Questions
In this article, we will answer some of the most frequently asked questions about place value.
Q1: What is place value?
A1: Place value is a concept that is used to understand the value of each digit in a number. It is the value that a digit holds in a number based on its position.
Q2: What are the different types of place value?
A2: There are several types of place value, including:
- Hundred's place: The digit in the hundred's place represents the value of 100 times the digit.
- Tens place: The digit in the tens place represents the value of 10 times the digit.
- Ones place: The digit in the ones place represents the value of 1 times the digit.
- Thousands place: The digit in the thousands place represents the value of 1000 times the digit.
- Ten thousands place: The digit in the ten thousands place represents the value of 10,000 times the digit.
Q3: How do I write the place value of the circled digits?
A3: To write the place value of the circled digits, we need to identify the position of each digit in the number. Once we have identified the position of each digit, we can write the place value of each digit.
Q4: What is the place value of a digit in the ones place?
A4: The place value of a digit in the ones place is 1 times the digit.
Q5: What is the place value of a digit in the tens place?
A5: The place value of a digit in the tens place is 10 times the digit.
Q6: What is the place value of a digit in the hundred's place?
A6: The place value of a digit in the hundred's place is 100 times the digit.
Q7: How do I determine the place value of a digit in a multi-digit number?
A7: To determine the place value of a digit in a multi-digit number, we need to identify the position of the digit in the number. We can do this by counting the number of places to the left of the digit.
Q8: What is the place value of a digit in the thousands place?
A8: The place value of a digit in the thousands place is 1000 times the digit.
Q9: What is the place value of a digit in the ten thousands place?
A9: The place value of a digit in the ten thousands place is 10,000 times the digit.
Q10: How do I use place value to add and subtract numbers?
A10: To use place value to add and subtract numbers, we need to line up the numbers by place value and then add or subtract the digits in each place value.
Conclusion
In this article, we have answered some of the most frequently asked questions about place value. We have also provided examples and explanations to help you understand the concept of place value.
Additional Resources
- Math Open Reference. (n.d.). Place Value. Retrieved from https://www.mathopenref.com/placevalue.html
- Khan Academy. (n.d.). Place Value. Retrieved from https://www.khanacademy.org/math/grade-5-math/grade-5-numbers-and-operations/grade-5-place-value/v/place-value
Note: The references provided are for educational purposes only and are not intended to be a comprehensive list of resources on the topic of place value.
Practice Problems
Here are some practice problems to help you understand how to use place value to add and subtract numbers.
Problem 1
Add the numbers 456 and 279 using place value.
- Step 1: Line up the numbers by place value.
- Step 2: Add the digits in the ones place.
- Step 3: Add the digits in the tens place.
- Step 4: Add the digits in the hundred's place.
- Step 5: Add the digits in the thousands place.
Problem 2
Subtract the numbers 987 from 1234 using place value.
- Step 1: Line up the numbers by place value.
- Step 2: Subtract the digits in the ones place.
- Step 3: Subtract the digits in the tens place.
- Step 4: Subtract the digits in the hundred's place.
- Step 5: Subtract the digits in the thousands place.
Solutions
Problem 1
- Step 1: Line up the numbers by place value. 456 279
- Step 2: Add the digits in the ones place. 6 + 9 = 15
- Step 3: Add the digits in the tens place. 5 + 7 = 12
- Step 4: Add the digits in the hundred's place. 4 + 2 = 6
- Step 5: Add the digits in the thousands place. 0 + 0 = 0
The sum of the numbers 456 and 279 is 735.
Problem 2
- Step 1: Line up the numbers by place value. 1234 987
- Step 2: Subtract the digits in the ones place. 4 - 7 = -3
- Step 3: Subtract the digits in the tens place. 3 - 9 = -6
- Step 4: Subtract the digits in the hundred's place. 2 - 8 = -6
- Step 5: Subtract the digits in the thousands place. 1 - 9 = -8
The difference between the numbers 1234 and 987 is 247.