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Introduction: Plotting Rational Numbers on a Number Line Video Lecture - Class 7

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1. What are rational numbers?

Ans. Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. They can be positive, negative, or zero, and can be written in the form of p/q, where p and q are integers and q is not equal to zero.

2. How do we plot rational numbers on a number line?

Ans. To plot rational numbers on a number line, we first identify the whole number on the number line. Then, we divide the segment between two consecutive whole numbers into equal parts and mark them. Finally, we locate the rational number on the number line by finding the corresponding point between the whole numbers based on its value.

3. Can all rational numbers be plotted on a number line?

Ans. Yes, all rational numbers can be plotted on a number line. This is because rational numbers can be represented as fractions, and fractions can be easily located on a number line by dividing the segment between two consecutive whole numbers into equal parts.

4. What is the significance of plotting rational numbers on a number line?

Ans. Plotting rational numbers on a number line helps us visualize their relative positions and understand their magnitude. It also helps in comparing and ordering rational numbers. Additionally, it provides a graphical representation that aids in solving problems and performing operations involving rational numbers.

5. Are there any irrational numbers that cannot be plotted on a number line?

Ans. Yes, there are irrational numbers that cannot be plotted on a number line. Irrational numbers, such as the square root of 2 or pi, are non-repeating and non-terminating decimals. Since a number line is a discrete representation, it cannot accurately represent these infinite decimal values. However, we can approximate them on a number line by using decimal approximations.

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Introduction: Plotting Rational Numbers on a Number Line for Class 72024 is part of Class 7 preparation. The notes and questions for Introduction: Plotting Rational Numbers on a Number Line have been prepared according to the Class 7 exam syllabus. Information about Introduction: Plotting Rational Numbers on a Number Line covers all important topics for Class 72024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Introduction: Plotting Rational Numbers on a Number Line.

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