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What is Place Value? Video Lecture | Mathematics for Class 3: NCERT

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1. What is place value?
Ans. Place value is the value of a digit based on its position in a number. Each digit in a number has a specific place value, which determines its worth in relation to other digits. For example, in the number 123, the digit 1 represents the hundreds place, the digit 2 represents the tens place, and the digit 3 represents the ones place.
2. How does place value work?
Ans. Place value works on the principle that the value of a digit is determined by its position in a number relative to the decimal point. The rightmost digit represents the ones place, the digit to its left represents the tens place, the digit to the left of the tens place represents the hundreds place, and so on. Each place value is ten times greater than the one to its right.
3. What are the different place values in a decimal number system?
Ans. In a decimal number system, the different place values include the ones place, tens place, hundreds place, thousands place, ten thousands place, hundred thousands place, millions place, ten millions place, hundred millions place, billions place, and so on. Each place value is ten times greater than the one to its right.
4. How do you determine the place value of a digit in a number?
Ans. To determine the place value of a digit in a number, you count the number of places it is away from the decimal point. The rightmost digit has a place value of one, the digit to its left has a place value of ten, the digit to the left of that has a place value of one hundred, and so on. The place value is always a power of ten.
5. Why is place value important in mathematics?
Ans. Place value is important in mathematics because it helps us understand the magnitude and relative worth of digits in a number. It allows us to perform operations such as addition, subtraction, multiplication, and division accurately. Place value also forms the foundation for more advanced mathematical concepts, such as decimals, fractions, and scientific notation.
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