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Understanding: Place Value of Decimal Numbers Video Lecture | Advance Learner Course: Mathematics (Maths) Class 6
FAQs on Understanding: Place Value of Decimal Numbers Video Lecture - Advance Learner Course: Mathematics (Maths) Class 6
| 1. What is place value in decimal numbers? |  |
Ans. Place value refers to the value of a digit based on its position in a number. In decimal numbers, the place value starts from the right side of the decimal point. The first digit to the left of the decimal point represents ones, the second digit represents tenths, the third digit represents hundredths, and so on. Each digit's place value is determined by multiplying the digit by the corresponding power of 10.
| 2. How do you determine the place value of a digit in a decimal number? | |
Ans. To determine the place value of a digit in a decimal number, you need to count the number of decimal places from the decimal point. The digit immediately to the left of the decimal point represents ones, the digit to the right of the decimal point represents tenths, the next digit represents hundredths, and so on. Each digit's place value is determined by its position relative to the decimal point.
| 3. What is the difference between the place value of 5 in 0.5 and 5 in 0.05? | |
Ans. In 0.5, the place value of 5 is in the tenths position, which means its value is 5 multiplied by 0.1, resulting in 0.5. On the other hand, in 0.05, the place value of 5 is in the hundredths position, which means its value is 5 multiplied by 0.01, resulting in 0.05. The difference lies in the position and the corresponding power of 10 used to calculate the value of the digit.
| 4. How can understanding place value help in comparing decimal numbers? | |
Ans. Understanding place value is crucial for comparing decimal numbers. By comparing the digits in each place value position, you can determine which number is greater or smaller. Start from the leftmost digit and compare them one by one. If the digits are the same, move to the next place value. If the digits differ, the number with the greater digit in the leftmost position is greater overall. This process ensures an accurate comparison of decimal numbers.
| 5. How can place value be extended to larger decimal numbers? | |
Ans. Place value can be extended to larger decimal numbers by continuing the pattern of increasing powers of 10 beyond the decimal point. The place value to the right of the decimal point starts with tenths, then hundredths, thousandths, ten thousandths, and so on. Each digit's place value is determined by its position relative to the decimal point, just as in smaller decimal numbers. This extension allows for precise representation and understanding of larger decimal values.
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