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Rational Numbers on a Number Line - 2 Video Lecture - Class 8

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FAQs on Rational Numbers on a Number Line - 2 Video Lecture - Class 8

1. How are rational numbers represented on a number line?
Ans. Rational numbers can be represented on a number line by marking their positions according to their values. For example, if we have the rational number 1/2, we can mark it on the number line halfway between the whole numbers 0 and 1.
2. Can all rational numbers be represented on a number line?
Ans. Yes, all rational numbers can be represented on a number line. This is because rational numbers can be expressed as fractions, and fractions can be easily plotted on a number line by finding their positions between whole numbers.
3. How can we determine if a number is rational or irrational on a number line?
Ans. To determine if a number is rational or irrational on a number line, we can look for patterns. Rational numbers can be represented as fractions or terminating decimals, while irrational numbers cannot be expressed as fractions and have non-repeating decimals. If the number on the number line can be written as a fraction or a terminating decimal, it is rational. Otherwise, it is irrational.
4. How can rational numbers help us in real-life situations?
Ans. Rational numbers are used in various real-life situations, such as measuring lengths, weights, and quantities. They help us in accurately representing and comparing different quantities. For example, when measuring ingredients for a recipe, we often use rational numbers to determine the correct proportions.
5. What is the importance of understanding rational numbers on a number line?
Ans. Understanding rational numbers on a number line is important as it helps in visualizing the order and magnitude of different fractions and decimals. It allows us to compare and order rational numbers, which is essential in various mathematical operations and real-life scenarios. Additionally, it provides a foundation for understanding more advanced concepts in mathematics, such as graphing linear equations.
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