Class 9 Exam > Class 9 Videos > Crash Course for Class 9 (English) > Examples (NCERT) - Decimal Expansions
Examples (NCERT) - Decimal Expansions Video Lecture | Crash Course for Class 9 (English)
FAQs on Examples (NCERT) - Decimal Expansions Video Lecture - Crash Course for Class 9 (English)
| 1. What is the process of expanding decimals? |  |
Ans. Expanding decimals involves writing a given decimal number as a sum of its place values. Each digit in a decimal number has a specific place value, such as ones, tenths, hundredths, etc. By identifying each digit's place value and multiplying it with its corresponding power of 10, we can expand the decimal.
| 2. How do we express a decimal as a fraction? | |
Ans. To express a decimal as a fraction, we count the number of decimal places and write the given decimal number over the appropriate power of 10. If the decimal has one digit after the decimal point, we write it over 10. If it has two digits after the decimal point, we write it over 100, and so on. Simplify the fraction if possible.
| 3. Can all decimal numbers be expressed as fractions? | |
Ans. No, not all decimal numbers can be expressed as fractions. Rational numbers are numbers that can be expressed as fractions, both terminating and repeating decimals are rational numbers. However, irrational numbers, such as the square root of 2 or pi, cannot be expressed as fractions and have non-repeating decimal expansions.
| 4. How can we determine if a decimal is terminating or non-terminating? | |
Ans. A decimal is terminating if it has a finite number of digits after the decimal point. On the other hand, a decimal is non-terminating if it has an infinite number of digits after the decimal point. To determine if a decimal is terminating or non-terminating, we can observe the decimal expansion and check if the digits repeat or if there is a pattern.
| 5. What is the significance of decimal expansions in real-life situations? | |
Ans. Decimal expansions are highly significant in real-life situations, especially in fields like finance, measurements, and scientific calculations. They allow us to express precise values, such as lengths, weights, or monetary amounts, with decimal accuracy. Decimal expansions also enable us to perform calculations involving fractions and ratios, making them essential in various practical applications.
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