In the number 1426, the underlined digit is ‘4’. To determine the place value of this digit, we need to examine its position within the given number.
The number ‘1426’ is represented in the decimal numeral system, which is based on powers of 10. Each digit in a number holds a specific place value, depending on its position.
Let’s break down the number 1426 to understand the place value of the underlined digit more clearly:
1 – Thousands place
4 – Hundreds place
2 – Tens place
6 – Ones place (units place)
Therefore, the place value of the underlined digit ‘4’ in 1426 is the Hundreds place.
Frequently Asked Questions:
1. What is the place value of the digit ‘2’ in 1426?
The place value of the digit ‘2’ in 1426 is the Tens place.
2. What is the place value of the digit ‘6’ in 1426?
The place value of the digit ‘6’ in 1426 is the Ones place or units place.
3. What is the place value of the digit ‘1’ in 1426?
The place value of the digit ‘1’ in 1426 is the Thousands place.
4. Is it possible to have more than one digit with the same place value in a number?
Yes, it is possible to have multiple digits with the same place value in a number. For example, in the number 1123456, there are two digits with the value of 1 in the Thousands place.
5. Can the place value of a digit change in different number systems?
Yes, the place value of a digit can vary in different number systems. For instance, in the binary system, the place value of the digits follows powers of 2 instead of 10.
6. What is the place value of zero in any given number?
Zero holds an essential role as a placeholder, but it does not possess a specific place value itself.
7. How can understanding place value help in mathematical operations?
Understanding place value is crucial for performing mathematical operations such as addition, subtraction, multiplication, and division. It allows us to correctly align digits during calculations.
8. What is the highest possible place value in the decimal system?
The highest possible place value in the decimal system is the Googolplex, represented by a 1 followed by a googol (10^100) zeros.
9. How does understanding place value extend to decimal numbers?
For decimal numbers, the place values continue to the right of the decimal point, representing fractional parts. For example, in the number 3.14159, the ‘4’ is in the Tenths place, and the ‘9’ is in the Hundred-Thousandths place.
10. Can place value be extended to negative numbers?
Yes, place value can be extended to negative numbers as well. The digits to the left of the decimal point in negative numbers follow the same place value system as positive numbers.
11. Is place value relevant in everyday life?
Yes, understanding place value is important in many everyday situations, such as reading and writing numbers, managing finances, calculating measurements, and comprehending data.
12. What is the significance of place value in educational development?
Place value plays a crucial role in building a strong foundation for mathematical skills. It helps children comprehend numbers and lays the groundwork for advanced mathematical concepts like algebra and calculus.