When working with numbers, understanding place value is crucial. Place value is the value of a digit based on its position within a number. Let’s dive into the place value of the digit 4 in the number 45,762.
In the number 45,762, the digit 4 is located in the thousands place. The place value of 4 in this number is 4,000. This means that the digit 4 represents four thousand. The place value of digits increases as we move from right to left in a number.
To better comprehend the place value of 4 in the number 45,762, let’s break down the number:
– In the ones place, we have digit 2, which represents the value of 2.
– In the tens place, we have digit 6, which stands for sixty.
– In the hundreds place, we have digit 7, which signifies seven hundred.
– In the thousands place, we have digit 4, which represents four thousand.
– Lastly, in the ten thousands place, we have digit 5, which denotes fifty thousand.
Therefore, the digit 4 in the number 45,762 has a place value of 4,000.
Frequently Asked Questions:
1. What is place value?
Place value is the value of a digit based on its position within a number.
2. How does place value work?
Place value increases as we move from right to left in a number. Each place is a multiple of ten of the place to its right.
3. What is the place value of the digit 2 in 45,762?
The digit 2 is in the ones place, representing a value of 2.
4. How do we determine the place value of a digit?
To determine the place value of a digit, we need to know its position in the number and consider its corresponding place value.
5. How can place value help in understanding numbers?
By understanding place value, we can comprehend the magnitude or worth of each digit within a number.
6. What is the largest place value in the decimal system?
In the decimal system, the largest place value is the googolplex, which is 10 to the power of a googol (10^10^100).
7. How do we read numbers using place value?
We read numbers by stating the value of each digit according to its place value. For example, 45,762 is read as forty-five thousand seven hundred sixty-two.
8. What is the place value of zero in any number?
Zero has a place value of zero in any number. It helps signify an absence of a value in a particular place.
9. What is the significance of understanding place value?
Understanding place value is crucial for performing operations like addition, subtraction, multiplication, and division, as it helps maintain the correct order and value of digits.
10. How does place value differ in various numeral systems?
Place value in numeral systems remains the same conceptually, but the base of the system determines the value of each digit’s positional placement.
11. Can place value be negative?
No, place value cannot be negative. Place value represents the value of a digit which is always positive.
12. Is place value only applicable to whole numbers?
No, place value is also applicable to decimal numbers, where the value of digits is based on their position relative to the decimal point.